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Oles Savluk · Answer 1 · 2023-09-13T09:19:42+0000

The RMS voltage (V-RMS) of a sinusoidal waveform is determined by multiplying the peak voltage value by 0.7071, which is the same as one divided by the square root of two ( 1/√2 ).

$V_(RMS)=V_(PK)*\frac{1}{\sqrt[]{2}}=V_(PK)*0.7071$

The question provides that:

$V=60\sin \theta$

The peak voltage is at

$\theta=90\degree$

Therefore, the peak voltage is given to be:

$V_(PK)=60\sin (90)=60$

Hence, the RMS voltage is gotten to be:

$V_{\text{RMS}}=60*0.7071=42.42$

The correct option is OPTION D.

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