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<pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="842.25"> <margins left="28.34646" right="28.34646" top="28.34646" bottom="28.34646"/> <header use-full-page-width="true"/> <footer use-full-page-width="true"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="en" UI="en"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" 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text-align="center" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <b> <inlineAttr line-through="false"> <c val="#000080">Plot the Vbe temperature profile of a CMOS process diode</c> </inlineAttr> </b> </f> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="14"> <b> <inlineAttr line-through="false"> <c val="#000080">followed by</c> </inlineAttr> </b> </f> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <f size="14"> <b> <c val="#000080">De</c> </b> </f> <b> <inlineAttr line-through="false"> <c val="#000080"> <f family="Arial" charset="0" size="14">sign a B</f> </c> </inlineAttr> </b> <b> <inlineAttr line-through="false"> <c val="#000080"> <f family="Arial" charset="0" size="14">andgap Voltage Generator</f> </c> </inlineAttr> </b> </p> </text> </region> <region region-id="3506" left="336" top="62.25" width="194.25" height="24" align-x="336" 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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="10"> <b> <inlineAttr line-through="false"> <c val="#000080">Chris Haji-Michael</c> </inlineAttr> </b> </f> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="10"> <b> <inlineAttr line-through="false"> <c val="#000080">www.sunshadow.co.uk/chris.htm</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="3307" left="6" top="104.25" width="525.75" height="144" align-x="24" align-y="114" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">This sheet starts by calculating from the SPICE values how the VBE voltage for a lateral PNP-transistor diode</c> <c val="#000080"> (TLEV=2) varies with temperature.<sp count="2"/>The results are then compared to SPICE simulation results and can be seen to be within 4mV under a variety of conditions. </c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">The equations were found in the </c> <b> <c val="#000080">ADS</c> </b> <c val="#000080"> manual for non linear devices. </c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <f size="11"> <b> <c val="#000080">AgilentHBT_NPN (Agilent Heterojunction Bipolar Transistor, NPN)</c> </b> </f> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">http://cp.literature.agilent.com/litweb/pdf/ads2003c/pdf/ccnld.pdf</c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">Then the VBE rersults are used directly in the design of a Bandgap Voltage generator.<sp count="2"/>The Bandgap is based on a paper by </c> <c val="#000080"> <b>Maloberti</b> </c> <c val="#000080">, July 2001.</c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">The aim of this sheet is to design a bandgap generator directly from the diode spice model. 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</math> <rendering item-idref="22"/> </region> <region region-id="3526" left="390" top="465" width="50.25" height="12.75" align-x="423" align-y="474" show-border="false" show-highlight="true" 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">AREA</ml:id> <ml:real>20</ml:real> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="2704" left="6" top="518.25" width="144.75" height="12" align-x="6" align-y="528" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> <c val="#000080">Plot Vt & Eg over Temperature</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="3547" left="6" top="542.25" width="237" height="36" align-x="11.25" align-y="552" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">Eg is the energy bandgap page 2-51</c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">refer page 2-39 for GAP1 and GAP2 which are called EgAlpha and EgBeta in the equations.</c> </p> </text> </region> <region region-id="3543" left="258" top="534" width="90" height="30" align-x="303" align-y="552" 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="t">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve">Temp</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="b">k</ml:id> <ml:id xml:space="preserve">Temp</ml:id> </ml:apply> <ml:id xml:space="preserve">q</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="3544" left="378" top="530.25" width="141" height="33.75" align-x="426" align-y="552" 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">Eg</ml:id> <ml:boundVars> <ml:id xml:space="preserve">Temp</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">EG</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">GAP1</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Temp</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">GAP2</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="3545" left="258" top="573" width="87.75" height="15" align-x="300" align-y="582" 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:id xml:space="preserve" subscript="t">V</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>300</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">V</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.025852157076770028</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="26"/> </region> <region region-id="3546" left="378" top="573" width="89.25" height="12.75" align-x="430.5" align-y="582" 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:id xml:space="preserve">Eg</ml:id> <ml:id xml:space="preserve">TNOM</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">V</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.1151278409090908</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="3531" left="36" top="606" width="225.75" height="147.75" align-x="36" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="28"/> <rendering item-idref="29"/> </region> <region region-id="3535" left="276" top="606" width="235.5" height="153.75" align-x="276" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="30"/> <rendering item-idref="31"/> </region> <region region-id="2782" left="6" top="800.25" width="123.75" height="12" align-x="6" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> <c val="#000080">Plot Ise over Temperature</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="3536" left="42" top="818.25" width="433.5" height="36" align-x="118.5" align-y="840" 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="se">I</ml:id> <ml:boundVars> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">AREA</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">AREA</ml:id> <ml:id xml:space="preserve">ISE</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">TNOM</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">XTB</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">exp</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">Eg</ml:id> <ml:id xml:space="preserve">TNOM</ml:id> </ml:apply> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">NE</ml:id> <ml:id xml:space="preserve" subscript="b">k</ml:id> </ml:apply> <ml:id xml:space="preserve">TNOM</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">Eg</ml:id> <ml:id xml:space="preserve">Temp</ml:id> </ml:apply> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">NE</ml:id> <ml:id xml:space="preserve" subscript="b">k</ml:id> </ml:apply> <ml:id xml:space="preserve">Temp</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">XTI</ml:id> <ml:id xml:space="preserve">NE</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ln</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">TNOM</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="3537" left="186" top="866.25" width="238.5" height="24" align-x="191.25" align-y="876" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">Ise is the emitter saturation current, refer page 2-51 which varies with temperature</c> </p> </text> </region> <region region-id="2363" left="6" top="902.25" width="117.75" height="12" align-x="6" align-y="912" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> <c val="#000080">Plot Is over Temperature</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="3538" left="108" top="920.25" width="351" height="30" align-x="181.5" align-y="936" 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="s">I</ml:id> <ml:boundVars> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">AREA</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">AREA</ml:id> <ml:id xml:space="preserve">IS</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">exp</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">Eg</ml:id> <ml:id xml:space="preserve">TNOM</ml:id> </ml:apply> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="b">k</ml:id> <ml:id xml:space="preserve">TNOM</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">Eg</ml:id> <ml:id xml:space="preserve">Temp</ml:id> </ml:apply> <ml:id xml:space="preserve">q</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="b">k</ml:id> <ml:id xml:space="preserve">Temp</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">XTI</ml:id> <ml:apply> <ml:id xml:space="preserve">ln</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">TNOM</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="3539" left="198" top="956.25" width="238.5" height="24" align-x="198" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">Is the source sauruation current, refer page 2-51 which varies with temperature</c> </p> </text> </region> <region region-id="3540" left="90" top="996" width="360.75" height="156.75" align-x="90" align-y="996" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="34"/> <rendering item-idref="35"/> </region> <region region-id="3487" left="6" top="1172.25" width="151.5" height="12" align-x="6" align-y="1182" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> <c val="#000080">Plot Bf and Q over Temperature</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="3489" left="6" top="1190.25" width="129" height="33.75" align-x="51.75" align-y="1212" 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="f">B</ml:id> <ml:boundVars> <ml:id xml:space="preserve">Temp</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">BF</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">TNOM</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">XTB</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="3541" left="264" top="1218" width="263.25" height="135.75" align-x="264" align-y="1218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="37"/> <rendering item-idref="38"/> </region> <region region-id="3548" left="6" top="1238.25" width="243" height="84" align-x="14.25" align-y="1248" 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="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">Bf is the transitor beta or current gain and is usually around 100.<sp count="2"/>In this design the Bf is very low because of the type of transistor </c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">This section looks as though there is an approximation to the equations.<sp count="2"/>These are made because the Bf is low as this is a lateral PNP<sp count="3"/> </c> </p> </text> </region> <region region-id="2787" left="6" top="1363.5" width="261.75" height="40.5" align-x="102.75" align-y="1398" 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="bei">I</ml:id> <ml:boundVars> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:id xml:space="preserve">AREA</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="s">I</ml:id> <ml:sequence> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">AREA</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">NF</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="t">V</ml:id> <ml:id xml:space="preserve">Temp</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="2788" left="6" top="1417.5" width="266.25" height="40.5" align-x="104.25" align-y="1452" 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="ben">I</ml:id> <ml:boundVars> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:id xml:space="preserve">AREA</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="se">I</ml:id> <ml:sequence> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">AREA</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">NE</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="t">V</ml:id> <ml:id xml:space="preserve">Temp</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="2821" left="6" top="1484.25" width="89.25" height="45" align-x="44.25" 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:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">Q1</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="be">V</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:id xml:space="preserve">VAR</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="2792" left="126" top="1476" width="315" height="36" align-x="222.75" 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:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="B">Q</ml:id> <ml:boundVars> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:id xml:space="preserve">AREA</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">Q1</ml:id> <ml:id xml:space="preserve" subscript="be">V</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="bei">I</ml:id> <ml:sequence> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:id xml:space="preserve">AREA</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">IKF</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">NK</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="3503" left="102" top="1584" width="297" height="147.75" align-x="102" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="43"/> <rendering item-idref="44"/> </region> <region region-id="2649" left="6" top="1748.25" width="156" height="12" align-x="6" align-y="1758" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> <c val="#000080">Find Ib for Vbe and Temperature</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="2921" left="6" top="1779" width="45" height="15" align-x="25.5" align-y="1788" 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="be">V</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.8</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="45"/> </region> <region region-id="2922" left="72" top="1779" width="24" height="12.75" align-x="83.25" align-y="1788" 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="46"/> </region> <region region-id="3502" left="144" top="1770" width="302.25" height="32.25" align-x="155.25" align-y="1788" 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="e">I</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="bei">I</ml:id> <ml:sequence> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:id xml:space="preserve">Area</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="f">B</ml:id> <ml:id xml:space="preserve">Temp</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="ben">I</ml:id> <ml:sequence> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:id xml:space="preserve">Area</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="bei">I</ml:id> <ml:sequence> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:id xml:space="preserve">Area</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="B">Q</ml:id> <ml:sequence> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve" subscript="be">V</ml:id> <ml:id xml:space="preserve">Area</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="47"/> </region> <region region-id="2913" left="6" top="1809" width="153.75" height="15" align-x="112.5" align-y="1818" 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">VbeFind</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="e">I</ml:id> <ml:id xml:space="preserve">Temp</ml:id> <ml:id xml:space="preserve">Area</ml:id> </ml:boundVars> </ml:function> <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="be">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="3505" left="66" top="1830" width="341.25" height="159.75" align-x="66" align-y="1830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="49"/> <rendering item-idref="50"/> </region> <region region-id="3500" left="6" top="2019" width="186" height="12.75" align-x="146.25" align-y="2028" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">VbeFind</ml:id> <ml:sequence> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">μA</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>270</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>40</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> <ml:real>20</ml:real> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">V</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.89072511864260018</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="51"/> </region> <region region-id="3499" left="6" top="2037" width="157.5" height="12.75" align-x="117.75" align-y="2046" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">VbeFind</ml:id> <ml:sequence> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">μA</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>300</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:real>20</ml:real> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">V</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.77812722312221072</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="52"/> </region> <region region-id="3501" left="6" top="2055" width="190.5" height="12.75" align-x="150.75" align-y="2064" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">VbeFind</ml:id> <ml:sequence> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">μA</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>270</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>140</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> <ml:real>20</ml:real> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">V</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.58521709694912949</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="53"/> </region> <region region-id="3471" left="204" top="2090.25" width="270.75" height="12" align-x="204" align-y="2100" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> <c val="#000080">Test the Vbe response the diode using a Spice simulator </c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="3469" left="186" top="2112" width="290.25" height="217.5" align-x="186" align-y="2112" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{11943940-36DE-11CF-953E-00C0A84029E9}" type="static" item-idref="54"/> <rendering item-idref="55"/> </region> <region region-id="2963" left="6" top="2156.25" width="153" height="96" align-x="6" align-y="2166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">The plot shown here on the right is from ADS for the diode circuit shown at the top of the sheet.<br/> <sp count="2"/> <br/>Ibias is 50uA.<sp count="2"/> </c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080"> <br/>This graph should be compared to the graph above.</c> </p> </text> </region> <region region-id="3241" left="6" top="2372.25" width="309" height="12" align-x="6" align-y="2382" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> <c val="#000080">Calculate slope for Vbe against Temperature at different currents</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="3114" left="72" top="2396.25" width="317.25" height="27.75" align-x="138" 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 warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">slope</ml:id> <ml:boundVars> <ml:id xml:space="preserve">Current</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">VbeFind</ml:id> <ml:sequence> <ml:id xml:space="preserve">Current</ml:id> <ml:apply> <ml:mult/> <ml:real>410</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:real>20</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">VbeFind</ml:id> <ml:sequence> <ml:id xml:space="preserve">Current</ml:id> <ml:apply> <ml:mult/> <ml:real>230</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:real>20</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>410</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>230</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="56"/> </region> <region region-id="3174" left="60" top="2430" width="275.25" height="120.75" align-x="60" align-y="2430" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="57"/> <rendering item-idref="58"/> </region> <region region-id="3008" left="348" top="2444.25" width="112.5" height="27.75" align-x="408.75" align-y="2460" 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:id xml:space="preserve">slope</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>50</ml:real> <ml:id xml:space="preserve">μ</ml:id> </ml:apply> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mV</ml:id> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-1.6972667871859481</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin" power-numerator="-1"/> <unitReference unit="millivolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="59"/> </region> <region region-id="3404" left="12" top="2556.75" width="213.75" height="14.25" align-x="12" align-y="2568" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="12"> <b> <inlineAttr line-through="false"> <c val="#000080">Design a Bandgap Voltage Reference</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="3220" left="252" top="2558.25" width="215.25" height="120" align-x="252" align-y="2568" 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="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">The diode response can now be used to design a bandgap voltage reference.<sp count="2"/>The circuit used here is from Maloberti, Curvature Compensated BiCMOS bandgap with 1V supply voltage.<sp count="2"/>IEEE solid state July 2001.</c> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"/> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">Vbe has a negative temperature coefficient.</c> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">Vt has a positive temperature coefficient.</c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">Start by calculating the Vbe to Vt ratio = </c> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> <c val="#000080">G</c> </inlineAttr> </b> </f> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false"> <c val="#000080">Set</c> </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false"> <c val="#000080"> I1 = 2*Iq1</c> </inlineAttr> </f> </p> </text> </region> <region region-id="3222" left="6" top="2586" width="177" height="163.5" align-x="6" align-y="2586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="60" display-width="175.5" display-height="162"/> </picture> <rendering item-idref="61"/> </region> <region region-id="3381" left="240" top="2697" width="54.75" height="15" align-x="257.25" align-y="2706" show-border="false" show-highlight="true" 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="q1">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">μ</ml:id> </ml:apply> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="62"/> </region> <region region-id="3382" left="312" top="2697" width="31.5" height="12.75" align-x="326.25" align-y="2706" show-border="false" show-highlight="true" 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">N</ml:id> <ml:real>16</ml:real> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="3383" left="360" top="2697" width="85.5" height="12.75" align-x="420" align-y="2706" show-border="false" show-highlight="true" 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">VrefRequired</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.5</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="64"/> </region> <region region-id="3375" left="180" top="2722.5" width="288.75" height="43.5" align-x="210.75" align-y="2754" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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top="3021" width="79.5" height="18.75" align-x="375.75" align-y="3036" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">R0</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">ohm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2194.5981980410079</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" 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imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="78"/> </region> <region region-id="3549" left="6" top="3158.25" width="520.5" height="84" align-x="6" align-y="3168" 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="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">The bandgap reference is simulated using ADS with the circuit shown below.<sp count="2"/>Apologies for not getting the component numbering to be the same.<sp count="2"/> </c> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"/> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">R0 which is shown as R1 below is adjusted to get an optimised response.<sp count="2"/>It is theoretically 2.2k and simulates to be 2.33k.<sp count="2"/> </c> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"/> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">This is close enough for me, enjoy.</c> </p> </text> </region> <region region-id="3550" left="48" top="3258" width="469.5" height="330" align-x="48" align-y="3258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{11943940-36DE-11CF-953E-00C0A84029E9}" type="static" item-idref="79"/> <rendering item-idref="80"/> </region> <region region-id="3551" left="150" top="3624" width="270.75" 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