An AC current is given by I = I 0 + I 1 sin ωt, its rms value will be

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Kapil Khare · Answer

Current = I = I 0 + I 1 sin( t) Let the time period be T then T = 2 RMS value = [(∫ I 2 dt)/T] 1/2 0 ∫ T I 2 dt = 0 ∫ T I 0 2 + I 1 2 sin 2 t + 2 I 0 I 1 sin( t) = I 0 2 T + 2 I 0 I 1 [-cos( t)] + 0 ∫ T I 1 2 [1 – cos( t)]/2 = I 0 2 T + [(I 1 2 T)/2] I rms = {{I 0 2 T + [(I 1 2 T)/2]}/T} 1/2 I rms = {I 0 2 + [(I 1 2 )/2]} 1/2

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An AC current is given by I = I 0 + I 1 sin ωt, its rms value will be

An AC current is given by I = I₀ + I₁ sin ωt, its rms value will be

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An AC current is given by I = I 0 + I 1 sin ωt, its rms value will be

An AC current is given by I = I0 + I1 sin ωt, its rms value will be

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An AC current is given by I = I₀ + I₁ sin ωt, its rms value will be