In a series LCR circuit, an alternating emf ( V ) and current ( I ) are given by the equation V = V 0 sin ⁡ ω t , I = I 0 sin ⁡ ω t + π 3 . The average power dissipated in the circuit over a cycle of A C is

Question

In a series LCR circuit, an alternating emf ( V ) and current ( I ) are given by the equation V = V 0 sin ⁡ ω t , I = I 0 sin ⁡ ω t + π 3 . The average power dissipated in the circuit over a cycle of A C is, V 0 I 0 2, V 0 I 0 4, 3 2 V 0 I 0, Zero

MARKS App · Accepted Answer

V = V 0 sin ⁡ ω t I = I 0 sin ⁡ ω t + π 3 The average dissipated power to AC circuit. P = V r m s I r m s cos ⁡ ϕ Here, V r m s = V 0 2 I r m s = I 0 2 ; ϕ = π 3 P = V 0 2 × I 0 2 × cos ⁡ π 3 = V 0 I 0 2 × cos ⁡ 60 o = V 0 I 0 2 × 1 2 = V 0 I 0 4

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