Question

Given v = 60sinθ, what is the rms voltage?Question 19 options:6084.8412042.42

Answer 1

The given equation is,

`V=60\sin \theta`

Where,

`\begin{gathered} V_0=Voltage=60 \\ \theta=angle \\ V_{\text{rms}}=\text{?} \end{gathered}`

The formula for V(rms) is

`V_{\text{rms}}=\frac{V}{\sqrt[]{2}}`

Evaluate V(rms)

`V_{\text{rms}}=\frac{60}{\sqrt[]{2}}=42.4264\approx42.42`

Hence, the answer is 42.42 (Option D).