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``Voltage Divider'' Relations

\epsfig{file=eps/lseriesid.eps}

$\displaystyle F_k(s)
\;=\;F_{\mbox{\normalsize ext}}(s) \frac{R_k(s)}{R_m(s)+R_k(s)}
\;=\;F_{\mbox{\normalsize ext}}(s) \frac{\frac{k}{s}}{ms+\frac{k}{s}}
$

$\displaystyle F_m(s)
\;=\;F_{\mbox{\normalsize ext}}(s) \frac{R_m(s)}{R_m(s)+R_k(s)}
\;=\;F_{\mbox{\normalsize ext}}(s) \frac{ms}{ms+\frac{k}{s}}
$


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``Lumped Elements, One-Ports, and Passive Impedances'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2020-06-27 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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