Mathcad Professional 14.1 <description/> <author>delete</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy>delete</revisedBy> </userData> <identityInfo> <revision>5</revision> <documentID>8767840A-5924-4F4C-A819-F6631C2CDE44</documentID> <versionID>D755810A-C0E2-4853-8350-0BF5A55F24FB</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" 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local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="82" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="46" left="18" top="23.25" width="409.5" height="47.25" align-x="24" align-y="36" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="14">Cl1 and Cl2 are the capacitors we hang on the Xtal. Here's the equation from ST App Note AN2867. Cl is the load capacitance and Cs is the shunt capacitance both from the manufacturer's data sheet</f> </p> </text> </region> <region region-id="25" left="54" top="80.25" width="119.25" height="36" align-x="75.75" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cl</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Cl1</ml:id> <ml:id xml:space="preserve">Cl2</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">Cl1</ml:id> <ml:id xml:space="preserve">Cl2</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">Cs</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="47" left="18" top="131.25" width="119.25" height="15.75" align-x="24" align-y="144" 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="14">Let Cl1 = Cl2 = C12</f> </p> </text> </region> <region region-id="48" left="54" top="154.5" width="97.5" height="39.75" align-x="75.75" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cl</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">C12</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">C12</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">Cs</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="60" left="48" top="208.5" width="93" height="39.75" align-x="99.75" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="A name is required here." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">Cl</ml:id> <ml:id xml:space="preserve">Cs</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">C12</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">C12</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="81" left="48" top="264" width="105" height="16.5" align-x="80.25" align-y="276" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C12</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">Cl</ml:id> <ml:id xml:space="preserve">Cs</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="82" left="18" top="293.25" width="215.25" height="15.75" align-x="29.25" align-y="306" 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="14">From the Epson TC-12M data sheet</f> </p> </text> </region> <region region-id="73" left="48" top="324" width="67.5" height="16.5" align-x="69.75" align-y="336" 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">Cl</ml:id> <ml:apply> <ml:mult/> <ml:real>12.5</ml:real> <ml:id xml:space="preserve">pF</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="74" left="126" top="324" width="60.75" height="16.5" align-x="150" align-y="336" 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">Cs</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1.3</ml:real> <ml:id xml:space="preserve">pF</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="75" left="42" top="354" width="156.75" height="16.5" align-x="74.25" align-y="366" 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">C12</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">Cl</ml:id> <ml:id xml:space="preserve">Cs</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">pF</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>22.400000000000002</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="picofarad"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="76" left="18" top="389.25" width="261.75" height="15.75" align-x="27.75" align-y="402" 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="14">From the NX3215SA 32.768 KHz data sheet</f> </p> </text> </region> <region region-id="77" left="48" top="420" width="56.25" height="16.5" align-x="69.75" align-y="432" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cl</ml:id> <ml:apply> <ml:mult/> <ml:real>9</ml:real> <ml:id xml:space="preserve">pF</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="78" left="126" top="420" width="58.5" height="16.5" align-x="150" align-y="432" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cs</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">pF</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="79" left="30" top="456" width="150" height="16.5" align-x="62.25" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" 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