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What is the RMS value of a sinusoidally alternating voltage if its maximum value is equal to 10 V?
Question

What is the RMS value of a sinusoidally alternating voltage if its maximum value is equal to 10 V?

A.

14.14 V

B.

1.414 V

C.

7.07 V

D.

0.707 V

Correct option is C

Vrms=Vm/√2
where
Vm is the maximum voltage
Calculation:

Vm=10 VVrms=Vm2Vrms=0.7071×10=7.07 VV_m = 10 \text{ V} \\V_{\text{rms}} = \frac{V_m}{\sqrt{2}} \\V_{\text{rms}} = 0.7071 \times 10 \\= 7.07 \text{ V}​​

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