If the effective value of current on 50 Hz a.c. circuit is 5.0 A. What is (i) peak value of current, (ii) the mean value of current over a half a cycle and (iii) the value of current `1/300 `s after it was zero?

Explanation

Data supplied , `I_m = 5A , v = 50 Hz`
i. `i_m = sqrt(2) I_(rms) = sqrt(2) xx 5 = 7.07A`
ii. `i_m = 2/pi i_m = 0.636 xx 7.07 = 4.5 A`
iii. `I = i_m sin 2pi v t = 7.07 xx sin (2pi xx 50 xx 1/300) = 7.07 sin pi/3 = 7.07 x (sqrt3)/(2) = 6.12A`