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(C) $KEY$ $CONCEPT$: The average power consumed in an $a.c.$ circuit is given by the formula: $P = E_{rms} I_{rms} \cos \phi$.Given:Voltage $E = E_o \

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$P = 0$

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(C) $KEY$ $CONCEPT$: The average power consumed in an $a.c.$ circuit is given by the formula: $P = E_{rms} I_{rms} \cos \phi$.Given:Voltage $E = E_o \sin \omega t$Current $I = I_o \sin \left( \omega t - \frac{\pi}{2} ight)$Comparing these with the standard forms $E = E_o \sin \omega t$ and $I = I_o \sin (\omega t - \phi)$,we find the phase difference $\phi = \frac{\pi}{2}$.Substituting the value of $\phi$ into the power formula:$P = E_{rms} I_{rms} \cos \left( \frac{\pi}{2} ight)$Since $\cos \left( \frac{\pi}{2} ight) = 0$,the power consumption is:$P = E_{rms} I_{rms} 	imes 0 = 0$.

In an $a.c.$ circuit,the voltage applied is $E = E_o \sin \omega t$. The resulting current in the circuit is $I = I_o \sin \left( \omega t - \frac{\pi}{2} \right)$. The power consumption in the circuit is given by:

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