13.5: Resistance and Capacitance in Series
- Page ID
- 5498
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Likewise the impedance of a resistance and a capacitance in series is
\[\label{13.5.1}Z=R-j/(C\omega).\]
The voltage and current are related, as usual, by
\[V = IZ.\]
Equation \ref{13.5.1} shows that the voltage lags behind the current by
\[\tan^{-1} \dfrac{1}{RC\omega}.\]
and that
\[\dfrac{\hat{V}}{\hat{I}}=\sqrt{R^2+1/(C\omega)^2}.\]