ch17.1.htm

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<SPAN CLASS="EquationVariables">

R</SPAN>

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4</SUB>

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=</P>

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&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;&#8211;</P>

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=</P>

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<TD ROWSPAN="1" COLSPAN="1">

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112 <SPAN CLASS="Symbol">

W</SPAN>

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&nbsp;</P>

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<TD ROWSPAN="1" COLSPAN="1">

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<TD ROWSPAN="1" COLSPAN="1">

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0.9 <SPAN CLASS="Symbol">

m</SPAN>

m</P>

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<TD ROWSPAN="1" COLSPAN="1">

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<A NAME="pgfId=86676">

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&nbsp;</P>

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<TD ROWSPAN="1" COLSPAN="1">

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<A NAME="pgfId=86678">

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&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqn">

<A NAME="pgfId=86680">

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&nbsp;</P>

</TD>

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<TR>

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<P CLASS="TableEqnRight">

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&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86684">

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&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86686">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86688">

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&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

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<A NAME="pgfId=86690">

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&nbsp;</P>

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<TD ROWSPAN="1" COLSPAN="1">

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(17.3)</P>

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</TABLE>

<TABLE>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnRight">

<A NAME="pgfId=86695">

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<SPAN CLASS="EquationVariables">

C</SPAN>

<SUB CLASS="Subscript">

1</SUB>

 <SUB CLASS="Subscript">

</SUB>

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</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86697">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86699">

 </A>

(0.1 mm) (0.2 <SPAN CLASS="Symbol">

&#165;</SPAN>

 pFmm<SUP CLASS="Superscript">

&#8211;1</SUP>

)</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86701">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86703">

 </A>

0.02 pF<SPAN CLASS="Symbol">

</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqn">

<A NAME="pgfId=86705">

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&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnRight">

<A NAME="pgfId=86707">

 </A>

<SPAN CLASS="EquationVariables">

C</SPAN>

<SUB CLASS="Subscript">

2</SUB>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86709">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86711">

 </A>

(0.1 mm) (0.2 <SPAN CLASS="Symbol">

&#165;</SPAN>

 pFmm<SUP CLASS="Superscript">

&#8211;1</SUP>

) + 0.02 pF</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86713">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86715">

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0.04 pF<SPAN CLASS="Symbol">

</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqn">

<A NAME="pgfId=86717">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnRight">

<A NAME="pgfId=86719">

 </A>

<SPAN CLASS="EquationVariables">

C</SPAN>

<SUB CLASS="Subscript">

3</SUB>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86721">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86723">

 </A>

(1 mm) (0.2 <SPAN CLASS="Symbol">

&#165;</SPAN>

 pFmm<SUP CLASS="Superscript">

&#8211;1</SUP>

)</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86725">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86727">

 </A>

0.2 pF<SPAN CLASS="Symbol">

</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqn">

<A NAME="pgfId=86729">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnRight">

<A NAME="pgfId=86731">

 </A>

<SPAN CLASS="EquationVariables">

C</SPAN>

<SUB CLASS="Subscript">

4</SUB>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86733">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86735">

 </A>

(2 mm) (0.2 <SPAN CLASS="Symbol">

&#165;</SPAN>

 pFmm<SUP CLASS="Superscript">

&#8211;1</SUP>

) + 0.02 pF</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86737">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86739">

 </A>

0.42 pF</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqn">

<A NAME="pgfId=86741">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnRight">

<A NAME="pgfId=86743">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86745">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86747">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=86749">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=86751">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnNumber">

<A NAME="pgfId=86753">

 </A>

(17.4)</P>

</TD>

</TR>

</TABLE>

<P CLASS="Body">

<A NAME="pgfId=49623">

 </A>

Now we can calculate the path resistance, <SPAN CLASS="EquationVariables">

R</SPAN>

<SUB CLASS="SubscriptVariable">

ki</SUB>

, values (notice that <SPAN CLASS="EquationVariables">

R</SPAN>

<SUB CLASS="SubscriptVariable">

ki</SUB>

 = <SPAN CLASS="EquationVariables">

R</SPAN>

<SUB CLASS="SubscriptVariable">

ik</SUB>

):  </P>

<TABLE>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnRight">

<A NAME="pgfId=83496">

 </A>

<SPAN CLASS="EquationVariables">

R</SPAN>

<SUB CLASS="Subscript">

14</SUB>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=83498">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=83500">

 </A>

500 <SPAN CLASS="Symbol">

W</SPAN>

 + 6 <SPAN CLASS="Symbol">

W</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=83502">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=83504">

 </A>

506 <SPAN CLASS="Symbol">

W</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqn">

<A NAME="pgfId=83506">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnRight">

<A NAME="pgfId=83508">

 </A>

<SPAN CLASS="EquationVariables">

R</SPAN>

<SUB CLASS="Subscript">

24</SUB>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=83510">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=83728">

 </A>

500 <SPAN CLASS="Symbol">

W</SPAN>

 + 6 <SPAN CLASS="Symbol">

W</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=83730">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=83732">

 </A>

506 <SPAN CLASS="Symbol">

W</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqn">

<A NAME="pgfId=83518">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnRight">

<A NAME="pgfId=83520">

 </A>

<SPAN CLASS="EquationVariables">

R</SPAN>

<SUB CLASS="Subscript">

34</SUB>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=83522">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=83734">

 </A>

500 <SPAN CLASS="Symbol">

W</SPAN>

 + 6 <SPAN CLASS="Symbol">

W</SPAN>

 + 56 <SPAN CLASS="Symbol">

W</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnCenter">

<A NAME="pgfId=83736">

 </A>

=</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnLeft">

<A NAME="pgfId=83738">

 </A>

562 <SPAN CLASS="Symbol">

W</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqn">

<A NAME="pgfId=83530">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableEqnRight">

<A NAME="pgfId=83532">

 </A>

<SPAN CLASS="EquationVariables">

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