The RMS value of emf given by E = ( 8 sin ω t + 6 cos ω t ) volt is

Question

The RMS value of emf given by E = ( 8 sin ω t + 6 cos ω t ) volt is, 5 2 V, 7 2 V, 10 V, 10 2 V

MARKS App · Accepted Answer

The given function is, E = 2 4 sin ω t + 3 cos ω t = 2 × 5 1 4 5 sin ω t + 3 5 cos ω t = 10 cos θ sin ω t + sin θ cos ω t = 10 sin ω t + θ E = 10 sin ω t + θ compare it with, E = E 0 sin ω t + θ so E 0 = 10 V & E RMS = E 0 2 = 10 V 2 = 5 2 V

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