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			<revisedBy>Patrice</revisedBy>
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				<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"/>
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			<colorModel background-color="#fff" default-highlight-color="#ffff80"/>
			<language math="en" UI="en"/>
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		<calculation>
			<builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/>
			<calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0">
				<compatibility multiple-assignment="MC12" local-assignment="MC12"/>
			</calculationBehavior>
			<units>
				<currentUnitSystem name="mks" customized="false"/>
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		<editor view-annotations="false" view-regions="false">
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			<grid granularity-x="6" granularity-y="6"/>
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		<miscellaneous>
			<handbook handbook-region-tag-ub="533" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/>
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		<region region-id="85" left="156" top="8.25" width="118.5" height="41.25" align-x="156" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">
					<f size="36">EE 456</f>
				</p>
			</text>
		</region>
		<region region-id="86" left="108" top="65.25" width="258.75" height="46.5" align-x="108" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">
					<f size="20">Buck-</f>
					<f size="20">Boost</f>
					<f size="20"> Regulator Design </f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">
					<f size="20">Continuous Mode Operation</f>
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			</text>
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		<region region-id="482" left="42" top="129.75" width="101.25" height="25.5" align-x="69.75" align-y="150" 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">μs</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:pow/>
							<ml:real>10</ml:real>
							<ml:real>-6</ml:real>
						</ml:apply>
						<ml:id xml:space="preserve">sec</ml:id>
					</ml:apply>
				</ml:define>
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			<rendering item-idref="2"/>
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		<region region-id="481" left="186" top="126" width="87.75" height="40.5" align-x="222" align-y="150" 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">mΩ</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">Ω</ml:id>
						<ml:real>1000</ml:real>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="3"/>
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		<region region-id="389" left="24" top="177.75" width="147" height="18" align-x="24" align-y="192" 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="16">
						<inlineAttr line-through="false">Specify Input Voltage</inlineAttr>
					</f>
				</p>
			</text>
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		<region region-id="388" left="270" top="177.75" width="159" height="18" align-x="270" align-y="192" 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="16">
						<inlineAttr line-through="false">Specify Output Voltage</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="391" left="42" top="220.5" width="84.75" height="21.75" align-x="73.5" 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" subscript="D">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>5</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="4"/>
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			<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>-5</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="5"/>
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		<region region-id="395" left="24" top="297.75" width="202.5" height="18" align-x="24" align-y="312" 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="16">
						<inlineAttr line-through="false">Specify Switching Frequency</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="394" left="264" top="298.5" width="89.25" height="21.75" align-x="291.75" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="S">F</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>10</ml:real>
						<ml:id xml:space="preserve">kHz</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="6"/>
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		<region region-id="399" left="120" top="348" width="62.25" height="43.5" align-x="147.75" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="S">T</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:real>1</ml:real>
						<ml:id xml:space="preserve" subscript="S">F</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="7"/>
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		<region region-id="398" left="240" top="358.5" width="81" height="21.75" align-x="266.25" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="S">T</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μs</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>100.00000000000001</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microsecond"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="8"/>
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		<region region-id="403" left="30" top="411.75" width="219.75" height="18" align-x="30" align-y="426" 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="16">
						<inlineAttr line-through="false">Specify the Assumed Efficiency</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="402" left="300" top="412.5" width="78.75" height="18.75" align-x="334.5" align-y="426" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Eff</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>50</ml:real>
						<ml:id xml:space="preserve">%</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="9"/>
		</region>
		<region region-id="404" left="36" top="477.75" width="216" height="18" align-x="36" align-y="492" 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="16">
						<inlineAttr line-through="false">
							<c val="#800000">Specify the Max output Current</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="416" left="42" top="543.75" width="139.5" height="18" align-x="42" align-y="558" 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="16">
						<inlineAttr line-through="false">
							<c val="#800000">The output Power is</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="417" left="204" top="534" width="103.5" height="40.5" align-x="240" align-y="558" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="out">P</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>10</ml:real>
							<ml:id xml:space="preserve">watt</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">Eff</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="10"/>
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		<region region-id="413" left="36" top="633.75" width="143.25" height="18" align-x="36" align-y="648" 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="16">
						<inlineAttr line-through="false">
							<c val="#800000">The output current is</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="414" left="204" top="621" width="80.25" height="46.5" align-x="226.5" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="o">I</ml:id>
					<ml:apply>
						<ml:absval/>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve" subscript="out">P</ml:id>
							<ml:id xml:space="preserve" subscript="o">V</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="11"/>
		</region>
		<region region-id="415" left="366" top="634.5" width="69.75" height="21.75" align-x="387" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="o">I</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="12"/>
		</region>
		<region region-id="418" left="30" top="795.75" width="59.25" height="18" align-x="30" align-y="810" 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="16">
						<inlineAttr line-through="false">Find Ton</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="431" left="36" top="844.5" width="72" height="21.75" align-x="64.5" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="on">t</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1</ml:real>
						<ml:id xml:space="preserve">μs</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="13"/>
		</region>
		<region region-id="196" left="30" top="892.5" width="39" height="18.75" align-x="48.75" align-y="906" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id>
			</math>
			<rendering item-idref="14"/>
		</region>
		<region region-id="342" left="48" top="933" width="145.5" height="46.5" align-x="84.75" 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:apply xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:equal/>
					<ml:apply>
						<ml:neg/>
						<ml:id xml:space="preserve" subscript="o">V</ml:id>
					</ml:apply>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve" subscript="D">V</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve" subscript="on">t</ml:id>
								<ml:apply>
									<ml:minus/>
									<ml:id xml:space="preserve" subscript="S">T</ml:id>
									<ml:id xml:space="preserve" subscript="on">t</ml:id>
								</ml:apply>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:apply>
			</math>
			<rendering item-idref="15"/>
		</region>
		<region region-id="424" left="36" top="1006.5" width="101.25" height="21.75" align-x="64.5" align-y="1020" 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="on">t</ml:id>
					<ml:apply>
						<ml:Find auto-method="true" method="levenberg" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/>
						<ml:id xml:space="preserve" subscript="on">t</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="16"/>
		</region>
		<region region-id="437" left="36" top="1066.5" width="73.5" height="21.75" align-x="63" align-y="1080" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="on">t</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μs</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>50.000000000000007</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microsecond"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="17"/>
		</region>
		<region region-id="436" left="192" top="1066.5" width="95.25" height="21.75" align-x="222" align-y="1080" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="off">t</ml:id>
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve" subscript="S">T</ml:id>
						<ml:id xml:space="preserve" subscript="on">t</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="18"/>
		</region>
		<region region-id="435" left="354" top="1066.5" width="75" height="21.75" align-x="382.5" align-y="1080" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="off">t</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μs</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>50.000000000000007</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microsecond"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="19"/>
		</region>
		<region region-id="438" left="36" top="1113" width="58.5" height="46.5" align-x="59.25" align-y="1140" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">D</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="on">t</ml:id>
						<ml:id xml:space="preserve" subscript="S">T</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="20"/>
		</region>
		<region region-id="439" left="180" top="1126.5" width="66" height="18.75" align-x="201.75" align-y="1140" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">D</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">%</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>50</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="21"/>
		</region>
		<region region-id="440" left="30" top="1215.75" width="441.75" height="18" align-x="30" align-y="1230" 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="16">
						<inlineAttr line-through="false">Find the range of Inductors that will operate in continuous mode</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="283" left="30" top="1257.75" width="453" height="36" align-x="30" align-y="1272" 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="16">
						<inlineAttr line-through="false">
							<c val="#800000">Specify the minimum current we want the supply to operate in the continuous mode</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="284" left="30" top="1317" width="68.25" height="43.5" align-x="63" align-y="1344" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="min">I</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="o">I</ml:id>
						<ml:real>10</ml:real>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="22"/>
		</region>
		<region region-id="441" left="36" top="1395" width="136.5" height="46.5" align-x="57" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">L</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve" subscript="D">V</ml:id>
								<ml:id xml:space="preserve" subscript="on">t</ml:id>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:real>2</ml:real>
								<ml:id xml:space="preserve" subscript="min">I</ml:id>
							</ml:apply>
						</ml:apply>
						<ml: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:define>
			</math>
			<rendering item-idref="23"/>
		</region>
		<region region-id="448" left="30" top="1485.75" width="330" height="18" align-x="30" align-y="1500" 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="16">
						<inlineAttr line-through="false">For Continuous Mode, We need L greater than </inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="447" left="390" top="1486.5" width="99.75" height="18.75" align-x="409.5" align-y="1500" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">L</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μH</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>156.25</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microhenry"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="24"/>
		</region>
		<region region-id="454" left="324" top="1557.75" width="107.25" height="72" align-x="324" align-y="1572" 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="16">Specify the part number for the chosen inductor here.</f>
				</p>
			</text>
		</region>
		<region region-id="449" left="36" top="1575.75" width="141.75" height="18" align-x="36" align-y="1590" 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="16">
						<inlineAttr line-through="false">
							<c val="#800000">Choose the Inductor</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="452" left="204" top="1576.5" width="78" height="18.75" align-x="225" align-y="1590" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">L</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>90</ml:real>
						<ml:id xml:space="preserve">μH</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="25"/>
		</region>
		<region region-id="455" left="48" top="1647.75" width="270" height="18" align-x="48" align-y="1662" 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="16">
						<inlineAttr line-through="false">
							<c val="#800000">Find the Min and max inductor currents</c>
						</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="467" left="78" top="1696.5" width="76.5" height="21.75" align-x="100.5" align-y="1710" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="1">I</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1</ml:real>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="26"/>
		</region>
		<region region-id="466" left="192" top="1696.5" width="76.5" height="21.75" align-x="214.5" align-y="1710" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="2">I</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1</ml:real>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="27"/>
		</region>
		<region region-id="275" left="66" top="1750.5" width="39" height="18.75" align-x="84.75" align-y="1764" 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="28"/>
		</region>
		<region region-id="462" left="132" top="1779" width="109.5" height="43.5" align-x="186.75" align-y="1806" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:apply xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:equal/>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:plus/>
							<ml:id xml:space="preserve" subscript="1">I</ml:id>
							<ml:id xml:space="preserve" subscript="2">I</ml:id>
						</ml:apply>
						<ml:real>2</ml:real>
					</ml:apply>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="o">I</ml:id>
						<ml:apply>
							<ml:minus/>
							<ml:real>1</ml:real>
							<ml:id xml:space="preserve">D</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:apply>
			</math>
			<rendering item-idref="29"/>
		</region>
		<region region-id="461" left="120" top="1845" width="108" height="43.5" align-x="170.25" align-y="1872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:apply xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:equal/>
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve" subscript="2">I</ml:id>
						<ml:id xml:space="preserve" subscript="1">I</ml:id>
					</ml:apply>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve" subscript="D">V</ml:id>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve" subscript="on">t</ml:id>
							<ml:id xml:space="preserve">L</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:apply>
			</math>
			<rendering item-idref="30"/>
		</region>
		<region region-id="463" left="42" top="1932.75" width="129.75" height="50.25" align-x="86.25" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:matrix rows="2" cols="1">
						<ml:id xml:space="preserve" subscript="1">I</ml:id>
						<ml:id xml:space="preserve" subscript="2">I</ml:id>
					</ml:matrix>
					<ml:apply>
						<ml:Find auto-method="false" method="levenberg" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/>
						<ml:sequence>
							<ml:id xml:space="preserve" subscript="1">I</ml:id>
							<ml:id xml:space="preserve" subscript="2">I</ml:id>
						</ml:sequence>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="31"/>
		</region>
		<region region-id="464" left="216" top="1948.5" width="98.25" height="21.75" align-x="237" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="1">I</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>6.6111111111111107</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="32"/>
		</region>
		<region region-id="465" left="348" top="1948.5" width="98.25" height="21.75" align-x="369" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="2">I</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>9.38888888888889</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="33"/>
		</region>
		<region region-id="469" left="42" top="2025.75" width="195.75" height="18" align-x="67.5" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="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="16">
						<inlineAttr line-through="false">Inductor Average Current is </inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="471" left="270" top="2013" width="103.5" height="43.5" align-x="324.75" align-y="2040" 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:apply>
							<ml:plus/>
							<ml:id xml:space="preserve" subscript="1">I</ml:id>
							<ml:id xml:space="preserve" subscript="2">I</ml:id>
						</ml:apply>
						<ml:real>2</ml:real>
					</ml:apply>
					<ml:unitOverride>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>8</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="34"/>
		</region>
		<region region-id="472" left="42" top="2301.75" width="445.5" height="36" align-x="42" align-y="2316" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">
					<f size="14">Choose the filter capacitor using the capacitor ESR. </f>
					<f size="16">Assume that the major component of the ripple comes from the capacitor ESR.</f>
				</p>
			</text>
		</region>
		<region region-id="477" left="48" top="2397.75" width="231.75" height="18" align-x="48" align-y="2412" 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="16">
						<inlineAttr line-through="false">Specify the ripple due to the ESR</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="476" left="336" top="2398.5" width="107.25" height="21.75" align-x="375.75" align-y="2412" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="CR">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>100</ml:real>
						<ml:id xml:space="preserve">mV</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="35"/>
		</region>
		<region region-id="484" left="96" top="2463" width="87.75" height="46.5" align-x="137.25" align-y="2490" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ESR</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="CR">V</ml:id>
						<ml:id xml:space="preserve" subscript="2">I</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="36"/>
		</region>
		<region region-id="485" left="240" top="2476.5" width="123" height="18.75" align-x="279.75" align-y="2490" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ESR</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">mΩ</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>10.650887573964496</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="37"/>
		</region>
		<region region-id="524" left="36" top="2517.75" width="453" height="36" align-x="56.25" align-y="2532" 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 size="16">Obtain the datasheets for the capacitors used in the lab. Find the ESR and Capacitance of the parts you will be using.</f>
				</p>
			</text>
		</region>
		<region region-id="527" left="42" top="2572.5" width="81" height="18.75" align-x="83.25" align-y="2586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ESR</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1</ml:real>
						<ml:id xml:space="preserve">Ω</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="38"/>
		</region>
		<region region-id="528" left="258" top="2572.5" width="93.75" height="18.75" align-x="280.5" align-y="2586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">C</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1000</ml:real>
						<ml:id xml:space="preserve">μF</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="39"/>
		</region>
		<region region-id="529" left="36" top="2619.75" width="423" height="18" align-x="36" align-y="2634" 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 size="16">Calculate the ripple voltage using the ESR of your Capacitor.</f>
				</p>
			</text>
		</region>
		<region region-id="533" left="48" top="2650.5" width="99" height="21.75" align-x="87.75" align-y="2664" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="CR">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve" subscript="2">I</ml:id>
						<ml:id xml:space="preserve">ESR</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="40"/>
		</region>
		<region region-id="532" left="270" top="2643.75" width="153.75" height="28.5" align-x="308.25" align-y="2664" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="CR">V</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">mV</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>9388.8888888888887</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="millivolt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="41"/>
		</region>
		<region region-id="352" left="54" top="2703.75" width="307.5" height="18" align-x="54" align-y="2718" 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="16">
						<inlineAttr line-through="false">Calculate the Capacitor RMS Ripple Current</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="496" left="330" top="2769" width="138" height="46.5" align-x="370.5" align-y="2796" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="L">I</ml:id>
						<ml:boundVars>
							<ml:id xml:space="preserve">t</ml:id>
						</ml:boundVars>
					</ml:function>
					<ml:apply>
						<ml:plus/>
						<ml:id xml:space="preserve" subscript="2">I</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:minus/>
									<ml:id xml:space="preserve" subscript="1">I</ml:id>
									<ml:id xml:space="preserve" subscript="2">I</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="off">t</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">t</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="42"/>
		</region>
		<region region-id="495" left="24" top="2787.75" width="281.25" height="18" align-x="24" align-y="2802" 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="16">
						<inlineAttr line-through="false">Define a function for the inductor current</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="497" left="54" top="2879.25" width="347.25" height="60" align-x="87" 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:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="rms">I</ml:id>
					<ml:apply>
						<ml:sqrt/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:real>1</ml:real>
								<ml:id xml:space="preserve" subscript="S">T</ml:id>
							</ml:apply>
							<ml:parens>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:integral auto-algorithm="true" algorithm="adaptive"/>
										<ml:lambda>
											<ml:boundVars>
												<ml:id xml:space="preserve">t</ml:id>
											</ml:boundVars>
											<ml:apply>
												<ml:pow/>
												<ml:parens>
													<ml:apply>
														<ml:neg/>
														<ml:id xml:space="preserve" subscript="o">I</ml:id>
													</ml:apply>
												</ml:parens>
												<ml:real>2</ml:real>
											</ml:apply>
										</ml:lambda>
										<ml:bounds>
											<ml:apply>
												<ml:mult/>
												<ml:real>0</ml:real>
												<ml:id xml:space="preserve">sec</ml:id>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="on">t</ml:id>
										</ml:bounds>
									</ml:apply>
									<ml:apply>
										<ml:integral auto-algorithm="true" algorithm="adaptive"/>
										<ml:lambda>
											<ml:boundVars>
												<ml:id xml:space="preserve">t</ml:id>
											</ml:boundVars>
											<ml:apply>
												<ml:pow/>
												<ml:parens>
													<ml:apply>
														<ml:minus/>
														<ml:apply>
															<ml:id xml:space="preserve" subscript="L">I</ml:id>
															<ml:id xml:space="preserve">t</ml:id>
														</ml:apply>
														<ml:id xml:space="preserve" subscript="o">I</ml:id>
													</ml:apply>
												</ml:parens>
												<ml:real>2</ml:real>
											</ml:apply>
										</ml:lambda>
										<ml:bounds>
											<ml:apply>
												<ml:mult/>
												<ml:real>0</ml:real>
												<ml:id xml:space="preserve">sec</ml:id>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="off">t</ml:id>
										</ml:bounds>
									</ml:apply>
								</ml:apply>
							</ml:parens>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="43"/>
		</region>
		<region region-id="498" left="54" top="2986.5" width="100.5" height="21.75" align-x="85.5" align-y="3000" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="rms">I</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4.0399878783992866</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="44"/>
		</region>
		<region region-id="499" left="36" top="3075.75" width="65.25" height="18" align-x="36" align-y="3090" 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="16">
						<inlineAttr line-through="false">Summary</inlineAttr>
					</f>
				</p>
			</text>
		</region>
		<region region-id="508" left="72" top="3118.5" width="71.25" height="18.75" align-x="91.5" align-y="3132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">L</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μH</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>90</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microhenry"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="45"/>
		</region>
		<region region-id="507" left="192" top="3118.5" width="98.25" height="21.75" align-x="213" align-y="3132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="2">I</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>9.38888888888889</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="46"/>
		</region>
		<region region-id="506" left="354" top="3105" width="132" height="43.5" align-x="408.75" align-y="3132" 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:apply>
							<ml:plus/>
							<ml:id xml:space="preserve" subscript="2">I</ml:id>
							<ml:id xml:space="preserve" subscript="2">I</ml:id>
						</ml:apply>
						<ml:real>2</ml:real>
					</ml:apply>
					<ml:unitOverride>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>9.38888888888889</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="47"/>
		</region>
		<region region-id="509" left="78" top="3166.5" width="73.5" height="21.75" align-x="105" align-y="3180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="on">t</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μs</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>50.000000000000007</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microsecond"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="48"/>
		</region>
		<region region-id="510" left="192" top="3166.5" width="75" height="21.75" align-x="220.5" align-y="3180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="off">t</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μs</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>50.000000000000007</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microsecond"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="49"/>
		</region>
		<region region-id="511" left="72" top="3232.5" width="78" height="21.75" align-x="102" align-y="3246" 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="D">V</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>5</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="volt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="50"/>
		</region>
		<region region-id="512" left="186" top="3232.5" width="84.75" height="21.75" align-x="213.75" align-y="3246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="o">V</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>-5</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="volt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="51"/>
		</region>
		<region region-id="513" left="312" top="3232.5" width="69.75" height="21.75" align-x="333" align-y="3246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="o">I</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">amp</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="52"/>
		</region>
		<region region-id="520" left="72" top="3310.5" width="87" height="18.75" align-x="93" align-y="3324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">C</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">μF</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1000.0000000000001</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="microfarad"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<general precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="5"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="53"/>
		</region>
		<region region-id="519" left="216" top="3303.75" width="153.75" height="28.5" align-x="254.25" align-y="3324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="CR">V</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">mV</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>9388.8888888888887</ml:real>
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