An alternating voltage is given by v = 282.8 sin 314t volts. Find (a) the rms voltage, (b) thefrequency and (c) the instantaneous value of voltage when t = 4 ms.

(a) The RMS (Root Mean Square) voltage is given by the peak voltage divided by the square root of 2. In this case, the peak voltage is 282.8 volts. So, the RMS voltage is 282.8/sqrt(2) = 200 volts.

(b) The frequency is given by the coefficient of t in the sine function, divided by 2π. In this case, the coefficient of t is 314. So, the frequency is 314/(2π) = 50 Hz.

(c) The instantaneous value of voltage at any time t can be found by substitifying the value of t into the voltage equation. In this case, when t = 4 ms = 0.004 s, the instantaneous voltage is v = 282.8 sin(314*0.004) = 282.8 sin(1.256) = 225.4 volts.