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13.5: Resistance and Capacitance in Series

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    5498

    • 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

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

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