Mathcad Professional 14.1 <description/> <author>Patrice</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy>Patrice</revisedBy> </userData> <identityInfo> <revision>135</revision> <documentID>C1A46F53-361C-4663-BFEB-B65675AF0E6C</documentID> <versionID>4B68CEF9-D2C5-4FD7-83AF-9A91BECFEDF4</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> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" 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text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" 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="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" 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local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" 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="528" 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="206" left="60" top="2.25" width="88.5" height="12" align-x="87.75" align-y="12" 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">Convertisseur BUCK</p> </text> </region> <region region-id="252" left="84" top="27" width="45.75" height="12.75" align-x="106.5" align-y="36" 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">VIN</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>60</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="253" left="174" top="27" width="52.5" height="12.75" align-x="206.25" align-y="36" 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">ROUT</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>9</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="291" left="300" top="27" width="78" height="12.75" align-x="340.5" align-y="36" 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">ΔVOUT</ml:id> <ml:apply> <ml:mult/> <ml:real>100</ml:real> <ml:id xml:space="preserve">mV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="255" left="84" top="45" width="55.5" height="12.75" align-x="116.25" align-y="54" 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">VOUT</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>25</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="256" left="180" top="45" width="38.25" height="12.75" align-x="192" align-y="54" 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 style="auto-select"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">mH</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="257" left="90" top="69" width="50.25" height="12.75" align-x="105" align-y="78" 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">fs</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">kHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="258" left="180" top="62.25" width="71.25" height="27.75" align-x="197.25" align-y="78" 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">Ts</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">fs</ml:id> </ml:apply> <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> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="259" left="78" top="104.25" width="88.5" height="27.75" align-x="91.5" align-y="120" 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:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">VOUT</ml:id> <ml:id xml:space="preserve">VIN</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.41666666666666669</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="260" left="72" top="140.25" width="113.25" height="27.75" align-x="101.25" align-y="156" 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">IOUT</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">VOUT</ml:id> <ml:id xml:space="preserve">ROUT</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.7777777777777777</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="216" left="54" top="188.25" width="408.75" height="24" align-x="70.5" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Comme le courant moyen aux bornes d'un condensateur est nul,le courant ILmoy est égal au courant moyen de sortie IOUT. </p> </text> </region> <region region-id="261" left="84" top="225" width="110.25" height="12.75" align-x="116.25" align-y="234" 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">ILmoy</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:id xml:space="preserve">IOUT</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.7777777777777777</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="262" left="90" top="260.25" width="158.25" height="27.75" align-x="113.25" align-y="276" 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">ΔIL</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">VIN</ml:id> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.72916666666666674</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="263" left="84" top="302.25" width="142.5" height="27.75" align-x="114" align-y="318" 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">ILmax</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">ILmoy</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ΔIL</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.1423611111111112</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="264" left="276" top="302.25" width="141.75" height="27.75" align-x="305.25" align-y="318" 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">ILmin</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">ILmoy</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ΔIL</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4131944444444442</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="265" left="96" top="345" width="122.25" height="12.75" align-x="130.5" align-y="354" 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">Iinmoy</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">IOUT</ml:id> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.1574074074074074</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="266" left="72" top="368.25" width="126.75" height="33.75" align-x="103.5" 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">POUT</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">VOUT</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">ROUT</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>69.444444444444443</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="223" left="78" top="428.25" width="167.25" height="12" align-x="81" align-y="438" 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">Si on considére qu'il n'y a pas de perte</p> </text> </region> <region region-id="267" left="96" top="459" width="108.75" height="12.75" align-x="117.75" 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">PIN</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:id xml:space="preserve">POUT</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>69.444444444444443</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="268" left="84" top="488.25" width="108.75" height="27.75" align-x="118.5" align-y="504" 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">Iinmoy</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">PIN</ml:id> <ml:id xml:space="preserve">VIN</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.1574074074074074</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="269" left="222" top="488.25" width="72" height="27.75" align-x="235.5" align-y="504" 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">η</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">POUT</ml:id> <ml:id xml:space="preserve">PIN</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="227" left="84" top="530.25" width="92.25" height="12" align-x="90" align-y="540" 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">Au niveau de la diode</p> </text> </region> <region region-id="270" left="108" top="555" width="107.25" height="12.75" align-x="136.5" align-y="564" 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">IDpic</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:id xml:space="preserve">ILmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.1423611111111112</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="271" left="120" top="585" width="144" height="12.75" align-x="153.75" align-y="594" 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">IDmoy</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ILmoy</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:parens> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.62037037037037</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="272" left="54" top="681" width="228.75" height="128.25" align-x="82.5" align-y="690" 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">VL</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:real>0</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">VIN</ml:id> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessThan/> <ml:apply> <ml:lessThan/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:id xml:space="preserve">Ts</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">Ts</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">VIN</ml:id> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">Ts</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:neg/> <ml:id xml:space="preserve" font="1">VOUT</ml:id> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessThan/> <ml:apply> <ml:mult/> <ml:real font="0">2</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real font="0">2</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">VIN</ml:id> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:neg/> <ml:id xml:space="preserve" font="1">VOUT</ml:id> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">VIN</ml:id> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> </ml:ifThen> </ml:program> </ml:parens> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="273" left="420" top="638.25" width="86.25" height="194.25" align-x="462" align-y="738" 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">aIL</ml:id> <ml:boundVars> <ml:id xml:space="preserve">tbis</ml:id> </ml:boundVars> </ml:function> <ml:matrix rows="12" cols="1"> <ml:id xml:space="preserve">ILmin</ml:id> <ml:id xml:space="preserve">ILmax</ml:id> <ml:id xml:space="preserve">ILmin</ml:id> <ml:id xml:space="preserve">ILmax</ml:id> <ml:id xml:space="preserve">ILmin</ml:id> <ml:id xml:space="preserve">ILmax</ml:id> <ml:id xml:space="preserve">ILmin</ml:id> <ml:id xml:space="preserve">ILmax</ml:id> <ml:id xml:space="preserve">ILmin</ml:id> <ml:id xml:space="preserve">ILmax</ml:id> <ml:id xml:space="preserve">ILmin</ml:id> <ml:real font="0">0</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="274" left="546" top="638.25" width="93" height="194.25" align-x="567.75" align-y="738" 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">tbis</ml:id> <ml:matrix rows="12" cols="1"> <ml:apply> <ml:mult style="auto-select"/> <ml:real font="0">0</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:id xml:space="preserve">Ts</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">Ts</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="275" left="108" top="878.25" width="109.5" height="33.75" align-x="150" align-y="894" 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">ΔVOUT</ml:id> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:id xml:space="preserve">COUT</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fs</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="25"/> </region> <region region-id="352" left="114" top="920.25" width="345.75" height="12" align-x="133.5" align-y="930" 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 size="10">On ré-arrange l'expression </f> </p> </text> </region> <region region-id="355" left="324" top="932.25" width="159" height="33.75" align-x="342" align-y="948" 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">gT</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">VOUT</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:id xml:space="preserve">C</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fs</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>4.5572916666666662E-06</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="353" left="114" top="938.25" width="159.75" height="33.75" align-x="146.25" align-y="954" 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">COUT</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fs</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">ΔVOUT</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">μF</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>45.572916666666664</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microfarad"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="360" left="126" top="986.25" width="174.75" height="27.75" align-x="170.25" align-y="1002" 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">slope_up</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">VIN</ml:id> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>35000</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="361" left="312" top="986.25" width="169.5" height="27.75" align-x="368.25" align-y="1002" 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">slope_down</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-25000</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="359" left="126" top="1035" width="139.5" height="12.75" align-x="162" align-y="1044" 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">I_up</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">slope_up</ml:id> <ml:parens> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">ILmin</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="364" left="180" top="1065" width="210" height="29.25" align-x="201.75" align-y="1074" 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">a</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessThan/> <ml:real>0</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">slope_up</ml:id> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> 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<ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">y2</ml:id> <ml:id xml:space="preserve">y1</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x2</ml:id> <ml:id xml:space="preserve">x1</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>35000.000000000007</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="78"/> </region> <region region-id="524" left="312" top="2409" width="82.5" height="12.75" align-x="327" align-y="2418" 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:id xml:space="preserve">y1</ml:id> <ml:apply> <ml:plus/> 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</ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">VIN</ml:id> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">b1</ml:id> </ml:apply> </ml:parens> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real font="0">2</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">VOUT</ml:id> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">Ts</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">b1</ml:id> </ml:apply> </ml:parens> </ml:ifThen> </ml:program> </ml:define> </math> <rendering item-idref="81"/> </region> <region region-id="510" left="108" top="2604" width="322.5" height="219.75" align-x="108" align-y="2604" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="82"/> <rendering item-idref="83"/> </region> <region region-id="514" left="666" top="2607" width="70.5" height="12.75" align-x="693.75" align-y="2616" 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">IOUT</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.7777777777777777</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="84"/> </region> <region region-id="513" left="462" top="2619" width="64.5" height="12.75" align-x="483.75" align-y="2628" 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">ΔIL</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.72916666666666674</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="85"/> </region> <region region-id="511" left="546" top="2624.25" width="67.5" height="27.75" align-x="570.75" align-y="2640" 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">ΔIL</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.36458333333333337</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="86"/> </region> <region region-id="516" left="642" top="2667" width="71.25" height="12.75" align-x="670.5" align-y="2676" 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">ILmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.1423611111111112</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="87"/> </region> <region region-id="515" left="504" top="2679" width="70.5" height="12.75" align-x="531.75" 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">ILmin</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4131944444444442</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="88"/> </region> <region region-id="517" left="498" top="2709" width="99" height="12.75" align-x="554.25" align-y="2718" 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:minus/> <ml:id xml:space="preserve">ILmin</ml:id> <ml:id xml:space="preserve">ΔIL</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.6840277777777775</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="89"/> </region> <region region-id="509" left="114" top="2871" width="87.75" height="12.75" align-x="140.25" align-y="2880" 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">IC</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">IL</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">IOUT</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="90"/> </region> <region region-id="447" left="120" top="2893.5" width="159" height="39" align-x="154.5" align-y="2916" 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:id xml:space="preserve">Δvo</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">COUT</ml:id> </ml:apply> <ml:apply> <ml:integral auto-algorithm="true"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">IC</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:bounds> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="atzero">V</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="91"/> </region> <region region-id="448" left="306" top="2907" width="30" height="12.75" align-x="324" align-y="2916" 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:id xml:space="preserve">Δvo</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </math> <rendering item-idref="92"/> </region> <region region-id="449" left="354" top="2906.25" width="120.75" height="12" align-x="360.75" align-y="2916" 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">est nulle par définition</p> </text> </region> <region region-id="450" left="504" top="2884.5" width="175.5" height="59.25" align-x="667.5" align-y="2916" 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:integral auto-algorithm="true"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">COUT</ml:id> </ml:apply> <ml:apply> <ml:integral auto-algorithm="true"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">IC</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:bounds> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="atzero">V</ml:id> </ml:apply> </ml:parens> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:bounds> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="93"/> </region> <region region-id="451" left="120" top="2944.5" width="157.5" height="59.25" align-x="163.5" align-y="2976" 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">Constant</ml:id> <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:real>1</ml:real> <ml:id xml:space="preserve">COUT</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:id xml:space="preserve">IC</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:bounds> </ml:apply> </ml:define> </math> <rendering item-idref="94"/> </region> <region region-id="452" left="324" top="2960.25" width="90" height="27.75" align-x="360.75" align-y="2976" 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="atzero">V</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">Constant</ml:id> </ml:apply> <ml:id xml:space="preserve">Ts</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="95"/> </region> <region region-id="453" left="498" top="2967" width="81.75" height="16.5" align-x="533.25" align-y="2976" 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:provenance expr-id="1"> <originRef doc-id="697B68F2-33CA-495C-BB7D-0AA8BFF7E0A6" version-id="BE8D583B-FAFB-4D5B-8468-E29E849F8D5B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="261858036" is-modified="true" region-id="0" href="F:\Download\HW09 Solution w extra.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="697B68F2-33CA-495C-BB7D-0AA8BFF7E0A6" version-id="BE8D583B-FAFB-4D5B-8468-E29E849F8D5B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="261857996" is-modified="true" region-id="0" href="F:\Download\HW09 Solution w extra.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">35e4b4de6c757a36784095662a3ce723</contentHash> <ml:id xml:space="preserve" subscript="atzero">V</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-0.011101812681938316</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="96"> <element-image-map> <box left="1.5" top="0.75" width="29.25" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="454" left="120" top="3013.5" width="161.25" height="39" align-x="156" align-y="3036" 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">Δvo</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">COUT</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:id xml:space="preserve">IC</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:bounds> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="atzero">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="97"/> </region> <region region-id="479" left="336" top="3026.25" width="80.25" height="12" align-x="339.75" align-y="3036" 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">on verifie bien que </p> </text> </region> <region region-id="456" left="456" top="3019.5" width="99.75" height="39" align-x="521.25" align-y="3042" 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:integral auto-algorithm="true" algorithm="adaptive"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">Δvo</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">Ts</ml:id> </ml:bounds> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="weber"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="98"/> </region> <region region-id="481" left="126" top="3062.25" width="139.5" height="12" align-x="131.25" align-y="3072" 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">On utilise la formulaire générale:</p> </text> </region> <region region-id="459" left="126" top="3086.25" width="133.5" height="33.75" align-x="152.25" align-y="3102" 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">ΔV</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">VOUT</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:id xml:space="preserve">COUT</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">fs</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.1</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="99"/> </region> <region region-id="488" left="90" top="3134.25" width="116.25" height="12" align-x="101.25" align-y="3144" 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">Autre méthode d'évaluation</p> </text> </region> <region region-id="475" left="78" top="3177" width="69" height="22.5" align-x="102.75" align-y="3192" 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="max">t</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-5</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="100"/> </region> <region region-id="462" left="180" top="3177" width="195" height="22.5" align-x="204.75" align-y="3192" 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="max">t</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:Maximize auto-method="true" method="conjugate" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve">Δvo</ml:id> <ml:id xml:space="preserve" subscript="max">t</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.5364820391373476E-05</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="101"/> </region> <region region-id="464" left="456" top="3183" width="93" height="16.5" align-x="496.5" align-y="3192" 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="omax">Δv</ml:id> <ml:apply> <ml:id xml:space="preserve">Δvo</ml:id> <ml:id xml:space="preserve" subscript="max">t</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="102"/> </region> <region region-id="465" left="582" top="3183" width="87" height="16.5" align-x="621" align-y="3192" 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:provenance expr-id="1"> <originRef doc-id="697B68F2-33CA-495C-BB7D-0AA8BFF7E0A6" version-id="BE8D583B-FAFB-4D5B-8468-E29E849F8D5B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="261858036" is-modified="true" region-id="0" href="F:\Download\HW09 Solution w extra.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="697B68F2-33CA-495C-BB7D-0AA8BFF7E0A6" version-id="BE8D583B-FAFB-4D5B-8468-E29E849F8D5B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="261858116" is-modified="true" region-id="0" href="F:\Download\HW09 Solution w extra.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash 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evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve">Δvo</ml:id> <ml:id xml:space="preserve" subscript="min">t</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.0416666666666661E-05</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="105"/> </region> <region region-id="469" left="456" top="3213" width="91.5" height="16.5" align-x="495.75" align-y="3222" 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="omin">Δv</ml:id> <ml:apply> <ml:id xml:space="preserve">Δvo</ml:id> <ml:id xml:space="preserve" subscript="min">t</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="106"/> </region> <region region-id="470" left="582" top="3213" width="91.5" height="16.5" align-x="620.25" align-y="3222" 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:provenance expr-id="1"> <originRef doc-id="697B68F2-33CA-495C-BB7D-0AA8BFF7E0A6" version-id="BE8D583B-FAFB-4D5B-8468-E29E849F8D5B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="261857676" is-modified="true" region-id="0" href="F:\Download\HW09 Solution w extra.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="697B68F2-33CA-495C-BB7D-0AA8BFF7E0A6" version-id="BE8D583B-FAFB-4D5B-8468-E29E849F8D5B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="261857356" is-modified="true" region-id="0" href="F:\Download\HW09 Solution w extra.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">6342e4fa24d29a6997384b4b0228666a</contentHash> <ml:id xml:space="preserve" subscript="omin">Δv</ml:id> </ml:provenance> <ml:unitOverride> <ml:id xml:space="preserve">mV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-52.768479348605005</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millivolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="107"> <element-image-map> <box left="1.5" top="0.75" width="32.25" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="478" left="114" top="3255" width="136.5" height="16.5" align-x="198" align-y="3264" 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:provenance expr-id="1"> <originRef doc-id="697B68F2-33CA-495C-BB7D-0AA8BFF7E0A6" version-id="BE8D583B-FAFB-4D5B-8468-E29E849F8D5B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="261857356" is-modified="true" region-id="0" href="F:\Download\HW09 Solution w extra.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="697B68F2-33CA-495C-BB7D-0AA8BFF7E0A6" version-id="BE8D583B-FAFB-4D5B-8468-E29E849F8D5B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="261858116" is-modified="true" region-id="0" href="F:\Download\HW09 Solution w extra.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">6de73ad1d740a6dd1d9879fb87c8eac0</contentHash> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="omax">Δv</ml:id> <ml:id xml:space="preserve" subscript="omin">Δv</ml:id> </ml:apply> </ml:provenance> <ml:unitOverride> <ml:id xml:space="preserve">mV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>100.00219171669636</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millivolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="108"> <element-image-map> <box left="1.5" top="0.75" width="78" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="490" left="270" top="3254.25" width="54" height="12" align-x="282" align-y="3264" 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">CQFD<sp count="3"/>:)<sp count="4"/> </p> </text> </region> <region region-id="457" left="96" top="3288" width="565.5" height="213.75" align-x="96" align-y="3288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="109"/> <rendering item-idref="110"/> </region> <region region-id="279" left="72" top="3543" width="27" height="12.75" align-x="84.75" align-y="3552" 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">BUCK</ml:id> </math> <rendering item-idref="111"/> </region> <region region-id="280" left="72" top="3573" width="58.5" height="12.75" align-x="104.25" align-y="3582" 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">VOUT</ml:id> <ml:apply> <ml:mult/> <ml:real>12</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="112"/> </region> <region region-id="281" left="144" top="3573" width="48.75" height="12.75" align-x="166.5" align-y="3582" 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">VIN</ml:id> <ml:apply> <ml:mult/> <ml:real>18</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="113"/> </region> <region region-id="282" left="216" top="3573" width="61.5" height="12.75" align-x="247.5" align-y="3582" 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">POUT</ml:id> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">W</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="114"/> </region> <region region-id="283" left="288" top="3573" width="78" height="12.75" align-x="328.5" align-y="3582" 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">ΔVOUT</ml:id> <ml:apply> <ml:mult/> <ml:real>100</ml:real> <ml:id xml:space="preserve">mV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="115"/> </region> <region region-id="284" left="72" top="3602.25" width="88.5" height="27.75" align-x="85.5" align-y="3618" 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">D</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">VOUT</ml:id> <ml:id xml:space="preserve">VIN</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.66666666666666663</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="116"/> </region> <region region-id="285" left="72" top="3644.25" width="116.25" height="33.75" align-x="104.25" align-y="3666" 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">ROUT</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">VOUT</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">POUT</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>14.4</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="117"/> </region> <region region-id="245" left="72" top="3698.25" width="118.5" height="12" align-x="78.75" align-y="3708" 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 size="10">Choix de la fréquence:<sp count="2"/> </f> </p> </text> </region> <region region-id="286" left="78" top="3729" width="54.75" height="12.75" align-x="93" align-y="3738" 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">fs</ml:id> <ml:apply> <ml:mult/> <ml:real>500</ml:real> <ml:id xml:space="preserve">kHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="118"/> </region> <region region-id="287" left="72" top="3752.25" width="159" height="33.75" align-x="98.25" align-y="3774" 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">Lmin</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">ROUT</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">fs</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">μH</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.0666666666666669</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="microhenry"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="119"/> </region> <region region-id="248" left="72" top="3800.25" width="284.25" height="12" align-x="78.75" align-y="3810" 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 size="10">Le ripple en sortie est défini par<sp count="2"/> </f> </p> </text> </region> <region region-id="288" left="78" top="3830.25" width="109.5" height="33.75" align-x="120" align-y="3846" show-border="false" show-highlight="false" is-protected="true" 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