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For a sinusoidal voltage v(t) = V_m sin(ωt), the RMS value is:
AV_m
BV_m / √2 ≈ 0.707 V_m
CV_m × √2
DV_m / 2
Answer & Solution
Correct answer: B. V_m / √2 ≈ 0.707 V_m
RMS (root mean square) of sin: V_rms = V_m/√2. Equivalent DC voltage that delivers same power. Indian mains: V_rms = 230 V → V_peak = 230√2 ≈ 325 V. Average over full cycle of pure sin is zero; RMS is the meaningful 'effective' value.
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