Average power in AC circuit – Rankers Physics
Topic: Alternating Current
Subtopic: Power in AC Circuits

Average power in AC circuit

Assertion (A): Average power consumed in an AC circuit is equal to average power consumed by resistors in the circuit.
Reason (R): Average power consumed by capacitor and inductor is zero.
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Both Assertion and Reason are true but Reason is not correct explanation of Assertion.
Assertion is true but Reason is false.
Assertion and Reason are false.

Solution:

Average power dissipated in an AC circuit is given by \(P_{avg} = V_{rms} I_{rms} \cos \phi = I_{rms}^2 R\). Perfect inductor and capacitor have phase angle \(90^\circ\), resulting in zero power consumption.

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