For a sinusoidal voltage v(t) = V_m sin(ωt), the RMS value is:

Question

Accepted 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.

Answer

V_m

Answer

V_m × √2

Answer

V_m / 2

For a sinusoidal voltage v(t) = V_m sin(ωt), the RMS value is:

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