In an A.C. circuit containing L, C and R in s | vedclass

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(D) The apparent power in an $A.C.$ circuit is given by $P_{app} = V_{rms} 	imes I_{rms} = I_{rms}^2 	imes Z$.The true power (or average power) in a

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$\frac{Z}{R}$

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(D) The apparent power in an $A.C.$ circuit is given by $P_{app} = V_{rms} 	imes I_{rms} = I_{rms}^2 	imes Z$.The true power (or average power) in an $A.C.$ circuit is given by $P_{true} = V_{rms} 	imes I_{rms} 	imes \cos \phi = I_{rms}^2 	imes R$.The ratio of apparent power to true power is $\frac{P_{app}}{P_{true}} = \frac{I_{rms}^2 	imes Z}{I_{rms}^2 	imes R} = \frac{Z}{R}$.Since $\cos \phi = \frac{R}{Z}$, the ratio $\frac{Z}{R}$ is equal to $\frac{1}{\cos \phi}$ or $\sec \phi$.

In an $A.C.$ circuit containing $L$, $C$ and $R$ in series, the ratio of apparent power to the true power is ($Z=$ impedance of the circuit and $R=$ resistance).

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