Mathcad Professional 14.1 <description/> <author/> <company/> <keywords/> <revisedBy>Patrice</revisedBy> </userData> <identityInfo> <revision>1</revision> <documentID>10D93908-3A85-48B9-8808-1C915EE54C41</documentID> <versionID>9BF1651F-3A8C-4C11-A544-CA4687930B4B</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" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="16" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="16" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="System" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Script" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <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="23.28"/> <header use-full-page-width="true"/> <footer use-full-page-width="true"/> </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="false" 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"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <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="246" 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="242" left="42" top="10.5" width="351" height="31.5" align-x="42" align-y="36" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="28"> <inlineAttr line-through="false">Lab 2</inlineAttr> </f> </p> </text> </region> <region region-id="245" left="24" top="59.25" width="242.25" height="23.25" align-x="24" align-y="78" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="20"> <inlineAttr line-through="false">Zener Regulator Design File</inlineAttr> </f> </p> </text> </region> <region region-id="132" left="24" top="119.25" width="201.75" height="15.75" align-x="24" align-y="132" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Specify the Regulator Parameters</inlineAttr> </f> </p> </text> </region> <region region-id="223" left="30" top="154.5" width="90.75" height="21.75" align-x="59.25" align-y="168" 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>20</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="221" left="174" top="154.5" width="72.75" height="21.75" align-x="196.5" align-y="168" 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:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve">mA</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="222" left="30" top="202.5" width="114.75" height="21.75" align-x="83.25" align-y="216" 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="in_min">V</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="220" left="174" top="202.5" width="117" height="21.75" align-x="229.5" align-y="216" 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="in_max">V</ml:id> <ml:apply> <ml:mult/> <ml:real>22</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="217" left="378" top="202.5" width="68.25" height="18.75" align-x="399" align-y="216" 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">T</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="187" left="30" top="257.25" width="203.25" height="15.75" align-x="30" align-y="270" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Define the input voltage waveform</inlineAttr> </f> </p> </text> </region> <region region-id="188" left="120" top="315" width="243" height="43.5" align-x="168.75" align-y="342" 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="in">V</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="in_max">V</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="in_max">V</ml:id> <ml:id xml:space="preserve" subscript="in_min">V</ml:id> </ml:apply> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="193" left="24" top="419.25" width="238.5" height="15.75" align-x="24" align-y="432" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Calculate the equivalent load resistance</inlineAttr> </f> </p> </text> </region> <region region-id="192" left="288" top="405" width="65.25" height="46.5" align-x="317.25" align-y="432" 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="L">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="o">V</ml:id> <ml:id xml:space="preserve" subscript="o">I</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="224" left="384" top="418.5" width="69.75" height="21.75" align-x="411.75" align-y="432" 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="L">R</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kΩ</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kiloohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="9"/> </region> <region region-id="195" left="24" top="497.25" width="135.75" height="15.75" align-x="24" align-y="510" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Choose a Zener Diode</inlineAttr> </f> </p> </text> </region> <region region-id="194" left="204" top="496.5" width="100.5" height="21.75" align-x="243" align-y="510" 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="ZK">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="10"/> </region> <region region-id="153" left="24" top="557.25" width="396" height="31.5" align-x="24" align-y="570" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Using the Thevenin equivalent voltage, find RS max. Note that Vth must be larger than Vzk</inlineAttr> </f> </p> </text> </region> <region region-id="198" left="66" top="604.5" width="69" height="21.75" align-x="95.25" align-y="618" 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">R</ml:id> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="199" left="24" top="634.5" width="39" height="18.75" align-x="42.75" 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:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="12"/> </region> <region region-id="200" left="84" top="651" width="170.25" height="46.5" align-x="215.25" align-y="678" 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:mult/> <ml:id xml:space="preserve" subscript="in_min">V</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="L">R</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="S">R</ml:id> <ml:id xml:space="preserve" subscript="L">R</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="ZK">V</ml:id> </ml:apply> </math> <rendering item-idref="13"/> </region> <region region-id="204" left="24" top="718.5" width="102.75" height="21.75" align-x="53.25" align-y="732" 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="S">R</ml:id> <ml:apply> <ml:Find auto-method="false" method="levenberg" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:id xml:space="preserve" subscript="S">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="203" left="168" top="711.75" width="103.5" height="28.5" align-x="195.75" align-y="732" 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">R</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">Ω</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4000.0000000000005</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="205" left="36" top="783" width="139.5" height="43.5" align-x="79.5" align-y="810" 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:apply> <ml:div/> <ml:id xml:space="preserve" subscript="S">R</ml:id> <ml:real>1.05</ml:real> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">Ω</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3809.5238095238096</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="209" left="24" top="839.25" width="280.5" height="15.75" align-x="24" align-y="852" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Choose the next smallest standard 5% resistor.</inlineAttr> </f> </p> </text> </region> <region region-id="208" left="372" top="838.5" width="93.75" height="21.75" align-x="401.25" 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 warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="S">R</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="165" left="24" top="899.25" width="330" height="15.75" align-x="24" align-y="912" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Calculate the average power assuming no load current.</inlineAttr> </f> </p> </text> </region> <region region-id="246" left="48" top="921" width="270.75" height="73.5" align-x="98.25" align-y="960" 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="in_avg">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">T</ml:id> </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:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="in">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="in">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="ZK">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="S">R</ml:id> </ml:apply> </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">T</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="213" left="48" top="1024.5" width="126.75" height="21.75" align-x="96.75" align-y="1038" 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="in_avg">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.23133333333333334</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="19"/> </region> <region region-id="210" left="30" top="1097.25" width="219.75" height="31.5" align-x="30" align-y="1110" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Calculate the Power dissipated in Rs</inlineAttr> </f> </p> </text> </region> <region region-id="171" left="30" top="1142.25" width="253.5" height="80.25" align-x="80.25" align-y="1188" 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="R_avg">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">T</ml:id> </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:div/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="in">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="ZK">V</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="S">R</ml:id> </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">T</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="214" left="42" top="1258.5" width="126.75" height="21.75" align-x="90.75" 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="R_avg">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.12133333333333332</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="175" left="24" top="1343.25" width="257.25" height="15.75" align-x="24" align-y="1356" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Calculate the power dissipated in the zener</inlineAttr> </f> </p> </text> </region> <region region-id="176" left="36" top="1371" width="272.25" height="73.5" align-x="85.5" align-y="1410" 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="Z_avg">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">T</ml:id> </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:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="in">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="ZK">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="S">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="ZK">V</ml:id> </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">T</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="227" left="348" top="1396.5" width="117.75" height="21.75" align-x="396" align-y="1410" 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="Z_avg">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.11</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="225" left="24" top="1527.75" width="464.25" height="54" align-x="24" align-y="1542" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="16"> <inlineAttr line-through="false">The above calculations are average power dissipation, and the nominal value of Rs. In our case, the worst case power dissipation occurs when the input is constant at 60 volts. </inlineAttr> </f> </p> </text> </region> <region region-id="237" left="30" top="1600.5" width="117" height="21.75" align-x="78.75" align-y="1614" 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="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="in">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:real>60</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="228" left="36" top="1655.25" width="330" height="15.75" align-x="36" align-y="1668" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Calculate the average power assuming no load current.</inlineAttr> </f> </p> </text> </region> <region region-id="229" left="60" top="1677" width="282.75" height="73.5" align-x="110.25" align-y="1716" 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="in_avg">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">T</ml:id> </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:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="in">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="in">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="ZK">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="S">R</ml:id> <ml:parens> <ml:real>0.95</ml:real> </ml:parens> </ml:apply> </ml:apply> </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">T</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="230" left="60" top="1780.5" width="126.75" height="21.75" align-x="108.75" align-y="1794" 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="in_avg">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.1578947368421053</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="231" left="42" top="1853.25" width="219.75" height="31.5" align-x="42" align-y="1866" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Calculate the Power dissipated in Rs</inlineAttr> </f> </p> </text> </region> <region region-id="232" left="42" top="1898.25" width="253.5" height="80.25" align-x="92.25" align-y="1944" 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="R_avg">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">T</ml:id> </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:div/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="in">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="ZK">V</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="S">R</ml:id> <ml:real>0.95</ml:real> </ml:apply> </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">T</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="233" left="54" top="2014.5" width="126.75" height="21.75" align-x="102.75" align-y="2028" 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="R_avg">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.6315789473684212</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="234" left="36" top="2099.25" width="257.25" height="15.75" align-x="36" align-y="2112" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Calculate the power dissipated in the zener</inlineAttr> </f> </p> </text> </region> <region region-id="235" left="48" top="2127" width="272.25" height="73.5" align-x="97.5" align-y="2166" 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="Z_avg">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">T</ml:id> </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:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="in">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="ZK">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="S">R</ml:id> <ml:real>0.95</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="ZK">V</ml:id> </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">T</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="236" left="360" top="2152.5" width="126" height="21.75" align-x="408" align-y="2166" 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="Z_avg">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.52631578947368418</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> 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