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use-page-width="false" push-down="false" lock-width="true"> Define the Situation </text> </region> <region region-id="4" left="36" top="26.25" width="373.5" height="12" align-x="39" 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"> A Buck converter is operating with discontinuous inductor current conduction. </text> </region> <region region-id="12" left="6" top="59.25" width="37.5" height="15.75" align-x="16.5" align-y="72" 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"> Goals </text> </region> <region region-id="14" left="36" top="80.25" width="378" height="15" align-x="55.5" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text 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Substitute (1) for Vo </text> </region> <region region-id="296" left="108" top="982.5" width="138" height="35.25" align-x="121.5" 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:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve" subscript="1">D</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="1">D</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="s">T</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve" subscript="1">D</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="18"/> </region> <region region-id="297" left="108" top="1036.5" width="144" height="31.5" align-x="194.25" align-y="1056" 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:equal/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="1">D</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="s">T</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve" subscript="1">D</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="s">T</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="19"/> </region> <region region-id="298" left="108" top="1083" width="84.75" height="16.5" align-x="137.25" align-y="1092" 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:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="o">I</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve" subscript="1">D</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="s">T</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="o">V</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="20"/> </region> <region region-id="299" left="108" top="1114.5" width="60" height="35.25" align-x="124.5" align-y="1134" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:id xml:space="preserve" subscript="1">D</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> 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<ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:id xml:space="preserve" subscript="o">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve" subscript="1">D</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="1">D</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="s">T</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="o">V</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="17"/> </region> <region region-id="249" left="12" top="956.25" width="86.25" height="15" align-x="32.25" align-y="966" 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"> 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