A sinusoidal voltage V(t)has an rms value of 100 V.Its maximum value is:
A)70.7 V
B)100 V
C)141 V
D)200 V
E)707 V

Question

Quizplus · Accepted Answer

The RMS (root mean square) value of a sinusoidal voltage is given by $V_{rms} = \frac{V_{max}}{\sqrt{2}}$. Therefore, to find the maximum value ($V_{max}$) from the RMS value, you rearrange the formula to $V_{max} = V_{rms} \times \sqrt{2}$. Given $V_{rms} = 100V$, $V_{max} = 100V \times \sqrt{2} \approx 141V$.

A Sinusoidal Voltage V(t)has an Rms Value of 100 V