<description/> <author/> <company/> <keywords/> <revisedBy>Patrice</revisedBy> </userData> <identityInfo> <revision>1</revision> <documentID>263E6503-8C73-45DC-B953-F4E85FA4961F</documentID> <versionID>010B8A32-B50E-4973-BCA7-C80D23AC15B6</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="small" definition="colon-equal" 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<mathStyle name="User 5" font-family="Roman" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Modern" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="charge" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance" display="true"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="86.4" right="18" top="18" bottom="20.4"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="en" UI="en"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC12" local-assignment="MC12"/> </calculationBehavior> <units> <currentUnitSystem name="mks" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="432" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="85" left="156" top="8.25" width="90.75" height="41.25" align-x="156" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="36"> <c val="#800000">Lab 3</c> </f> </text> </region> <region region-id="86" left="6" top="65.25" width="461.25" height="23.25" align-x="6" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="20"> <c val="#800000">Boost</c> </f> <f size="20"> <c val="#800000"> Regulator Design - Continuous Mode Operation</c> </f> </text> </region> <region region-id="372" left="30" top="117" width="60.75" height="18.75" align-x="45.75" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">μs</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="1"/> </region> <region region-id="77" left="24" top="152.25" width="91.5" height="12" align-x="24" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify Input Voltage</c> </text> </region> <region region-id="78" left="120" top="153" width="50.25" height="15" align-x="138.75" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="D">V</ml:id> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="89" left="270" top="152.25" width="99.75" height="12" align-x="270" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify Output Voltage</c> </text> </region> <region region-id="90" left="372" top="153" width="53.25" height="15" align-x="389.25" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">V</ml:id> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="79" left="24" top="188.25" width="126" height="12" align-x="24" align-y="198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify Switching Frequency</c> </text> </region> <region region-id="80" left="156" top="189" width="51" height="15" align-x="171.75" align-y="198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="S">F</ml:id> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">kHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="336" left="156" top="212.25" width="36.75" height="30" align-x="172.5" align-y="228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="S">T</ml:id> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="S">F</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="335" left="240" top="219" width="48" height="15" align-x="255" align-y="228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="S">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μs</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>100.00000000000001</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microsecond"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="6"/> </region> <region region-id="340" left="30" top="278.25" width="137.25" height="12" align-x="30" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Specify the Assumed Efficiency </text> </region> <region region-id="341" left="198" top="279" width="45.75" height="12.75" align-x="218.25" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Eff</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>60</ml:real> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="92" left="30" top="308.25" width="135" height="12" align-x="30" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify the Max output Current</c> </text> </region> <region region-id="250" left="78" top="338.25" width="86.25" height="12" align-x="78" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">The output Power is</c> </text> </region> <region region-id="252" left="222" top="332.25" width="63.75" height="27.75" align-x="245.25" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">watt</ml:id> </ml:apply> <ml:id xml:space="preserve">Eff</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="264" left="78" top="380.25" width="89.25" height="12" align-x="78" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">The output current is</c> </text> </region> <region region-id="265" left="228" top="372" width="42" height="32.25" align-x="242.25" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">P</ml:id> <ml:id xml:space="preserve" subscript="o">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="266" left="378" top="381" width="58.5" height="15" align-x="390.75" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">amp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.6666666666666667</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="10"/> </region> <region region-id="193" left="30" top="434.25" width="72.75" height="12" align-x="30" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Find Ton and Toff</c> </text> </region> <region region-id="194" left="30" top="459" width="50.25" height="15" align-x="54" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="off">T</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">μs</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="195" left="114" top="459" width="48" height="15" align-x="135.75" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">μs</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="196" left="30" top="483" width="24" height="12.75" align-x="41.25" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="13"/> </region> <region region-id="197" left="48" top="510" width="68.25" height="32.25" align-x="71.25" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="S">T</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="o">V</ml:id> <ml:id xml:space="preserve" subscript="D">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="o">V</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="14"/> </region> <region region-id="198" left="48" top="567" width="66.75" height="15" align-x="97.5" align-y="576" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="off">T</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="S">T</ml:id> </ml:apply> </math> <rendering item-idref="15"/> </region> <region region-id="331" left="30" top="628.5" width="108" height="33.75" align-x="66.75" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:matrix rows="2" cols="1"> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="off">T</ml:id> </ml:matrix> <ml:apply> <ml:Find auto-method="false" method="levenberg" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="off">T</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="330" left="180" top="639" width="48.75" height="15" align-x="200.25" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μs</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>50.000000000000007</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microsecond"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="17"/> </region> <region region-id="329" left="312" top="639" width="51" height="15" align-x="334.5" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="off">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μs</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>50.000000000000014</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microsecond"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="18"/> </region> <region region-id="277" left="180" top="666" width="39.75" height="32.25" align-x="193.5" align-y="684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="S">T</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="282" left="312" top="675" width="38.25" height="12.75" align-x="324" align-y="684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">%</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>50</ml:real> </result> </ml:eval> </math> <rendering item-idref="20"/> </region> <region region-id="246" left="42" top="770.25" width="274.5" height="12" align-x="42" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Find the range of Inductors that will operate in continuous mode</c> </text> </region> <region region-id="283" left="36" top="794.25" width="361.5" height="12" align-x="36" align-y="804" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify the minimum current we want the supply to operate in the continuous mode</c> </text> </region> <region region-id="284" left="36" top="834" width="43.5" height="30" align-x="59.25" align-y="852" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:real>10</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="247" left="36" top="888" width="71.25" height="32.25" align-x="48" align-y="906" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="D">V</ml:id> <ml:id xml:space="preserve" subscript="on">T</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="min">I</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="D">V</ml:id> <ml:id xml:space="preserve" subscript="o">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="249" left="36" top="974.25" width="204" height="12" align-x="36" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">For Continuous Mode, We need L greater than </c> </text> </region> <region region-id="382" left="252" top="975" width="45.75" height="12.75" align-x="262.5" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μH</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>374.99999999999994</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microhenry"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="270" left="36" top="1052.25" width="87" height="12" align-x="36" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Choose the Inductor</c> </text> </region> <region region-id="271" left="156" top="1053" width="55.5" height="12.75" align-x="168" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult/> <ml:real>100</ml:real> <ml:id xml:space="preserve">μH</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="419" left="246" top="1052.25" width="142.5" height="12" align-x="262.5" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Place coilcraft Part Number Here </text> </region> <region region-id="302" left="30" top="1088.25" width="170.25" height="12" align-x="30" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Find the Min and max inductor currents</c> </text> </region> <region region-id="303" left="66" top="1125" width="52.5" height="15" align-x="80.25" align-y="1134" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="304" left="168" top="1125" width="52.5" height="15" align-x="182.25" align-y="1134" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="275" left="42" top="1149" width="24" height="12.75" align-x="53.25" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="27"/> </region> <region region-id="276" left="72" top="1176" width="69" height="30" align-x="107.25" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="28"/> </region> <region region-id="278" left="72" top="1212" width="78.75" height="30" align-x="104.25" align-y="1230" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:id xml:space="preserve" subscript="1">I</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="D">V</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="29"/> </region> <region region-id="279" left="36" top="1252.5" width="81" height="33.75" align-x="63" align-y="1272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:matrix rows="2" cols="1"> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:matrix> <ml:apply> <ml:Find auto-method="false" method="levenberg" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="280" left="186" top="1263" width="58.5" height="15" align-x="198.75" align-y="1272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">amp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.0833333333333335</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="281" left="336" top="1263" width="58.5" height="15" align-x="348.75" align-y="1272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">amp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.5833333333333339</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="400" left="12" top="1520.25" width="467.25" height="60.75" align-x="12" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="18"> <inlineAttr line-through="false"> <c val="#800000">Now choose the capacitor based on the ripple voltage due to charge being removed from the cap while the switch is on and the capacitor is sourcing current to the load.</c> </inlineAttr> </f> </text> </region> <region region-id="404" left="66" top="1598.25" width="156" height="12" align-x="66" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Specify the amount of ripple allowed </text> </region> <region region-id="405" left="270" top="1599" width="67.5" height="15" align-x="294" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:apply> <ml:mult/> <ml:real>500</ml:real> <ml:id xml:space="preserve">mV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="407" left="66" top="1632" width="55.5" height="32.25" align-x="78.75" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:id xml:space="preserve" subscript="on">T</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="CR">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="408" left="186" top="1641" width="60.75" height="12.75" align-x="197.25" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μF</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>166.66666666666669</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microfarad"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="410" left="66" top="1688.25" width="151.5" height="12" align-x="81" align-y="1698" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Choose the next size standard cap </text> </region> <region region-id="411" left="258" top="1689" width="54.75" height="12.75" align-x="270.75" align-y="1698" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:mult/> <ml:real>220</ml:real> <ml:id xml:space="preserve">μF</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="413" left="66" top="1742.25" width="235.5" height="12" align-x="88.5" align-y="1752" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Recalculate the ripple due to the cap being discharged </text> </region> <region region-id="417" left="72" top="1788" width="66.75" height="30" align-x="96" align-y="1806" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve">C</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="416" left="210" top="1797" width="73.5" height="15" align-x="232.5" align-y="1806" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>378.78787878787881</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millivolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="305" left="54" top="1877.25" width="305.25" height="15.75" align-x="54" align-y="1890" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> <c val="#800000">Choose the filter capacitor using ESR Calculations.</c> </f> </text> </region> <region region-id="306" left="54" top="1910.25" width="339.75" height="12" align-x="54" align-y="1920" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Assume that the major component of the ripple comes from the capacitor ESR</c> </text> </region> <region region-id="307" left="54" top="1946.25" width="144.75" height="12" align-x="54" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify the ripple due to the ESR</c> </text> </region> <region region-id="308" left="252" top="1947" width="67.5" height="15" align-x="276" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:apply> <ml:mult/> <ml:real>200</ml:real> <ml:id xml:space="preserve">mV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="309" left="54" top="1986" width="53.25" height="32.25" align-x="78.75" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ESR</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="310" left="168" top="1995" width="60" height="12.75" align-x="191.25" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ESR</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">Ω</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.043636363636363633</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="421" left="54" top="2030.25" width="440.25" height="24" align-x="62.25" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Find the Datasheet for the Capacitors used in the Lab. Find the value of the ESR and the Capacitance Value. </text> </region> <region region-id="422" left="60" top="2079" width="54" height="12.75" align-x="84.75" align-y="2088" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ESR</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="423" left="192" top="2079" width="59.25" height="12.75" align-x="204.75" align-y="2088" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">μF</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="425" left="54" top="2156.25" width="255.75" height="12" align-x="72" align-y="2166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Calculate the ripple usuing the ESR of the actual capacitor. </text> </region> <region region-id="432" left="78" top="2199" width="66.75" height="15" align-x="102" align-y="2208" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ESR</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="431" left="252" top="2193" width="89.25" height="21" align-x="274.5" align-y="2208" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4583.3333333333339</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millivolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> <region region-id="392" left="30" top="2306.25" width="229.5" height="12" align-x="52.5" align-y="2316" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Calculate the RMS current using the actual waveform </text> </region> <region region-id="390" left="36" top="2328" width="51.75" height="32.25" align-x="49.5" align-y="2346" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:id xml:space="preserve" subscript="1">I</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="off">T</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="396" left="126" top="2337" width="72" height="15" align-x="151.5" align-y="2346" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="L">I</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="394" left="30" top="2403.75" width="229.5" height="43.5" align-x="52.5" align-y="2430" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" 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background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μs</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>50.000000000000007</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microsecond"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="54"/> </region> <region region-id="322" left="186" top="2679" width="51" height="15" align-x="208.5" align-y="2688" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" 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automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC12" local-assignment="MC12"/> </calculationBehavior> <units> <currentUnitSystem name="mks" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="432" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="85" left="156" top="8.25" width="90.75" height="41.25" align-x="156" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="36"> <c val="#800000">Lab 3</c> </f> </text> </region> <region region-id="86" left="6" top="65.25" width="461.25" height="23.25" align-x="6" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="20"> <c val="#800000">Boost</c> </f> <f size="20"> <c val="#800000"> Regulator Design - Continuous Mode Operation</c> </f> </text> </region> <region region-id="372" left="30" top="117" width="60.75" height="18.75" align-x="45.75" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">μs</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="1"/> </region> <region region-id="77" left="24" top="152.25" width="91.5" height="12" align-x="24" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify Input Voltage</c> </text> </region> <region region-id="78" left="120" top="153" width="50.25" height="15" align-x="138.75" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="D">V</ml:id> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="89" left="270" top="152.25" width="99.75" height="12" align-x="270" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify Output Voltage</c> </text> </region> <region region-id="90" left="372" top="153" width="53.25" height="15" align-x="389.25" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">V</ml:id> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="79" left="24" top="188.25" width="126" height="12" align-x="24" align-y="198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify Switching Frequency</c> </text> </region> <region region-id="80" left="156" top="189" width="51" height="15" align-x="171.75" align-y="198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="S">F</ml:id> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">kHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="336" left="156" top="212.25" width="36.75" height="30" align-x="172.5" align-y="228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="S">T</ml:id> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="S">F</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="335" left="240" top="219" width="48" height="15" align-x="255" align-y="228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="S">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μs</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>100.00000000000001</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microsecond"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="6"/> </region> <region region-id="340" left="30" top="278.25" width="137.25" height="12" align-x="30" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Specify the Assumed Efficiency </text> </region> <region region-id="341" left="198" top="279" width="45.75" height="12.75" align-x="218.25" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Eff</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>60</ml:real> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="92" left="30" top="308.25" width="135" height="12" align-x="30" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify the Max output Current</c> </text> </region> <region region-id="250" left="78" top="338.25" width="86.25" height="12" align-x="78" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">The output Power is</c> </text> </region> <region region-id="252" left="222" top="332.25" width="63.75" height="27.75" align-x="245.25" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">watt</ml:id> </ml:apply> <ml:id xml:space="preserve">Eff</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="264" left="78" top="380.25" width="89.25" height="12" align-x="78" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">The output current is</c> </text> </region> <region region-id="265" left="228" top="372" width="42" height="32.25" align-x="242.25" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">P</ml:id> <ml:id xml:space="preserve" subscript="o">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="266" left="378" top="381" width="58.5" height="15" align-x="390.75" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">amp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.6666666666666667</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="10"/> </region> <region region-id="193" left="30" top="434.25" width="72.75" height="12" align-x="30" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Find Ton and Toff</c> </text> </region> <region region-id="194" left="30" top="459" width="50.25" height="15" align-x="54" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="off">T</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">μs</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="195" left="114" top="459" width="48" height="15" align-x="135.75" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">μs</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="196" left="30" top="483" width="24" height="12.75" align-x="41.25" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="13"/> </region> <region region-id="197" left="48" top="510" width="68.25" height="32.25" align-x="71.25" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="S">T</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="o">V</ml:id> <ml:id xml:space="preserve" subscript="D">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="o">V</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="14"/> </region> <region region-id="198" left="48" top="567" width="66.75" height="15" align-x="97.5" align-y="576" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="off">T</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="S">T</ml:id> </ml:apply> </math> <rendering item-idref="15"/> </region> <region region-id="331" left="30" top="628.5" width="108" height="33.75" align-x="66.75" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:matrix rows="2" cols="1"> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="off">T</ml:id> </ml:matrix> <ml:apply> <ml:Find auto-method="false" method="levenberg" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="off">T</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="330" left="180" top="639" width="48.75" height="15" align-x="200.25" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μs</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>50.000000000000007</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microsecond"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="17"/> </region> <region region-id="329" left="312" top="639" width="51" height="15" align-x="334.5" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="off">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μs</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>50.000000000000014</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microsecond"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="18"/> </region> <region region-id="277" left="180" top="666" width="39.75" height="32.25" align-x="193.5" align-y="684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve" subscript="S">T</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="282" left="312" top="675" width="38.25" height="12.75" align-x="324" align-y="684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">%</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>50</ml:real> </result> </ml:eval> </math> <rendering item-idref="20"/> </region> <region region-id="246" left="42" top="770.25" width="274.5" height="12" align-x="42" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Find the range of Inductors that will operate in continuous mode</c> </text> </region> <region region-id="283" left="36" top="794.25" width="361.5" height="12" align-x="36" align-y="804" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify the minimum current we want the supply to operate in the continuous mode</c> </text> </region> <region region-id="284" left="36" top="834" width="43.5" height="30" align-x="59.25" align-y="852" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:real>10</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="247" left="36" top="888" width="71.25" height="32.25" align-x="48" align-y="906" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="D">V</ml:id> <ml:id xml:space="preserve" subscript="on">T</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="min">I</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="D">V</ml:id> <ml:id xml:space="preserve" subscript="o">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="249" left="36" top="974.25" width="204" height="12" align-x="36" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">For Continuous Mode, We need L greater than </c> </text> </region> <region region-id="382" left="252" top="975" width="45.75" height="12.75" align-x="262.5" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μH</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>374.99999999999994</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microhenry"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="270" left="36" top="1052.25" width="87" height="12" align-x="36" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Choose the Inductor</c> </text> </region> <region region-id="271" left="156" top="1053" width="55.5" height="12.75" align-x="168" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult/> <ml:real>100</ml:real> <ml:id xml:space="preserve">μH</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="419" left="246" top="1052.25" width="142.5" height="12" align-x="262.5" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Place coilcraft Part Number Here </text> </region> <region region-id="302" left="30" top="1088.25" width="170.25" height="12" align-x="30" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Find the Min and max inductor currents</c> </text> </region> <region region-id="303" left="66" top="1125" width="52.5" height="15" align-x="80.25" align-y="1134" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="304" left="168" top="1125" width="52.5" height="15" align-x="182.25" align-y="1134" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="275" left="42" top="1149" width="24" height="12.75" align-x="53.25" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="27"/> </region> <region region-id="276" left="72" top="1176" width="69" height="30" align-x="107.25" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="28"/> </region> <region region-id="278" left="72" top="1212" width="78.75" height="30" align-x="104.25" align-y="1230" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:id xml:space="preserve" subscript="1">I</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="D">V</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="29"/> </region> <region region-id="279" left="36" top="1252.5" width="81" height="33.75" align-x="63" align-y="1272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:matrix rows="2" cols="1"> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:matrix> <ml:apply> <ml:Find auto-method="false" method="levenberg" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="280" left="186" top="1263" width="58.5" height="15" align-x="198.75" align-y="1272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">I</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">amp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.0833333333333335</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="281" left="336" top="1263" width="58.5" height="15" align-x="348.75" align-y="1272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">amp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.5833333333333339</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="400" left="12" top="1520.25" width="467.25" height="60.75" align-x="12" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="18"> <inlineAttr line-through="false"> <c val="#800000">Now choose the capacitor based on the ripple voltage due to charge being removed from the cap while the switch is on and the capacitor is sourcing current to the load.</c> </inlineAttr> </f> </text> </region> <region region-id="404" left="66" top="1598.25" width="156" height="12" align-x="66" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Specify the amount of ripple allowed </text> </region> <region region-id="405" left="270" top="1599" width="67.5" height="15" align-x="294" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:apply> <ml:mult/> <ml:real>500</ml:real> <ml:id xml:space="preserve">mV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="407" left="66" top="1632" width="55.5" height="32.25" align-x="78.75" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:id xml:space="preserve" subscript="on">T</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="CR">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="408" left="186" top="1641" width="60.75" height="12.75" align-x="197.25" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">μF</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>166.66666666666669</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microfarad"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="410" left="66" top="1688.25" width="151.5" height="12" align-x="81" align-y="1698" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Choose the next size standard cap </text> </region> <region region-id="411" left="258" top="1689" width="54.75" height="12.75" align-x="270.75" align-y="1698" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:mult/> <ml:real>220</ml:real> <ml:id xml:space="preserve">μF</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="413" left="66" top="1742.25" width="235.5" height="12" align-x="88.5" align-y="1752" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Recalculate the ripple due to the cap being discharged </text> </region> <region region-id="417" left="72" top="1788" width="66.75" height="30" align-x="96" align-y="1806" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="on">T</ml:id> <ml:id xml:space="preserve">C</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="416" left="210" top="1797" width="73.5" height="15" align-x="232.5" align-y="1806" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>378.78787878787881</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millivolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="305" left="54" top="1877.25" width="305.25" height="15.75" align-x="54" align-y="1890" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> <c val="#800000">Choose the filter capacitor using ESR Calculations.</c> </f> </text> </region> <region region-id="306" left="54" top="1910.25" width="339.75" height="12" align-x="54" align-y="1920" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Assume that the major component of the ripple comes from the capacitor ESR</c> </text> </region> <region region-id="307" left="54" top="1946.25" width="144.75" height="12" align-x="54" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Specify the ripple due to the ESR</c> </text> </region> <region region-id="308" left="252" top="1947" width="67.5" height="15" align-x="276" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:apply> <ml:mult/> <ml:real>200</ml:real> <ml:id xml:space="preserve">mV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="309" left="54" top="1986" width="53.25" height="32.25" align-x="78.75" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ESR</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="310" left="168" top="1995" width="60" height="12.75" align-x="191.25" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ESR</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">Ω</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.043636363636363633</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="421" left="54" top="2030.25" width="440.25" height="24" align-x="62.25" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Find the Datasheet for the Capacitors used in the Lab. Find the value of the ESR and the Capacitance Value. </text> </region> <region region-id="422" left="60" top="2079" width="54" height="12.75" align-x="84.75" align-y="2088" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ESR</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="423" left="192" top="2079" width="59.25" height="12.75" align-x="204.75" align-y="2088" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">μF</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="425" left="54" top="2156.25" width="255.75" height="12" align-x="72" align-y="2166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Calculate the ripple usuing the ESR of the actual capacitor. </text> </region> <region region-id="432" left="78" top="2199" width="66.75" height="15" align-x="102" align-y="2208" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ESR</ml:id> <ml:id xml:space="preserve" subscript="2">I</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="431" left="252" top="2193" width="89.25" height="21" align-x="274.5" align-y="2208" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">V</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4583.3333333333339</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millivolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> <region region-id="392" left="30" top="2306.25" width="229.5" height="12" align-x="52.5" align-y="2316" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Calculate the RMS current using the actual waveform </text> </region> <region region-id="390" left="36" top="2328" width="51.75" height="32.25" align-x="49.5" align-y="2346" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:id xml:space="preserve" subscript="1">I</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="off">T</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="396" left="126" top="2337" width="72" height="15" align-x="151.5" align-y="2346" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="L">I</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="2">I</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="394" left="30" top="2403.75" width="229.5" height="43.5" align-x="52.5" align-y="2430" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="rms">I</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="S">T</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:integral auto-algorithm="true" algorithm="adaptive"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:neg/> <ml:id xml:space="preserve" subscript="o">I</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:lambda> <ml:bounds> <ml:apply> <ml:mult/> <ml:real>0</ml:real> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="on">T</ml:id> </ml:bounds> </ml:apply> <ml:apply> <ml:integral auto-algorithm="true" algorithm="adaptive"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="L">I</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="o">I</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:lambda> <ml:bounds> <ml:apply> <ml:mult/> <ml:real>0</ml:real> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="off">T</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="395" left="42" top="2487" width="66.75" height="15" align-x="63" align-y="2496" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="rms">I</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">amp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.7430417219459911</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="49"/> </region> <region region-id="316" left="30" top="2600.25" width="42" height="12" align-x="30" align-y="2610" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#800000">Summary</c> </text> </region> <region region-id="317" left="72" top="2637" width="45.75" height="12.75" align-x="82.5" align-y="2646" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:unitOverride> <ml:id 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