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If the maximum value of a sine wave AC voltage is 10 V, then its RMS value is-
Question

If the maximum value of a sine wave AC voltage is 10 V, then its RMS value is-

A.

3.142V

B.

1.732V

C.

1.414 V

D.

7.070 V

Correct option is D

The RMS (Root Mean Square) value of a sinusoidal AC voltage is given by the formula:VRMS=Vmax2Where Vmax is the maximum value (peak value) of the voltage. Given Vmax=10V,VRMS=10V2=10V1.4147.070VThus, the RMS value of the given AC voltage is approximately 7.070V.\text{The RMS (Root Mean Square) value of a sinusoidal AC voltage is given by the formula:} \\V_{RMS} = \frac{V_{max}}{\sqrt{2}} \\\text{Where } V_{max} \text{ is the maximum value (peak value) of the voltage. Given } V_{max} = 10 V, \\V_{RMS} = \frac{10 V}{\sqrt{2}} = \frac{10 V}{1.414} \approx 7.070 V \\\text{Thus, the RMS value of the given AC voltage is approximately } 7.070 V.​​

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