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This circuit containing a 80 mH inductor and a 60 μF capacitor in series is connected to a 230 V, 50 Hz supply. The resistance of the circuit is negligible.

Q7.18 (b) A circuit containing a 80mH inductor and a 60\mu F  capacitor in series is connected to a 230\: V50\: Hz  supply. The resistance of the circuit is negligible. Obtain the rms values of potential drops across each element.

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As we know,

RMS potential drop across an element with impedance Z:

V_{element}=I_{rms}Z_{element}

SO,

RMS potential difference across inductor:

V_{inductor}=I_{rms}*wL=8.22*2\pi *60*80*10^{-3}=206.61V

RMS potential drop across capacitor

V_{capacitor}=I_{rms}*\frac{1}{wC}=8.22*\frac{1}{2\pi*60*60*10^{-6}}=436.3V

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