Question

Given v = 60sinθ, what is the rms voltage?Question 19 options:A. 60B. 84.84C. 120D. 42.42

Answer 1

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.