An alternating voltage is given by v = 282.8 sin 314t volts. Find (a) the rms voltage

The root mean square (rms) voltage of an alternating current (AC) circuit, also known as the effective voltage, is determined by the peak voltage (maximum voltage) of the circuit. The rms voltage is approximately 0.707 times the peak voltage in a sinusoidal function.

Given the equation v = 282.8 sin 314t, the peak voltage is 282.8 volts.

To find the rms voltage, we multiply the peak voltage by 0.707:

rms voltage = 0.707 * peak voltage rms voltage = 0.707 * 282.8 rms voltage = 200 volts

So, the rms voltage of the given alternating voltage is approximately 200 volts.