The rms value of conduction current in a parallel plate capacitor is 6.9 μA. The capacitance of this capacitor, if it is connected to 230 V ac supply with an angular frequency of 600 rad/s, will be :

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The rms value of conduction current in a parallel plate capacitor is 6.9 $μ$ A. The capacitance of this capacitor, if it is connected to 230 V ac supply with an angular frequency of 600 rad/s, will be :

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5 pF

50 pF

100 pF

200 pF

answer is B.

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Detailed Solution

Current in capacitor $I = \frac{V}{X_{C}}$

$\begin{array}{l} I = (V) \times (ωC) \\ C = \frac{I}{Vω} = \frac{6 .9 \times 10^{- 6}}{230 \times 600} = 50 pF \end{array}$

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