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# 13.5: Resistance and Capacitance in Series

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

$\dfrac{\hat{V}}{\hat{I}}=\sqrt{R^2+1/(C\omega)^2}.$