A sinusoidal current is given by i = I cos wt. The full-wave rectified current is shown in Fig. 31.3b.
(a) Let t1 and t2 be the two smallest positive times at which the rectified current is zero. Express 11 and 12 in terms of Cd.
(b) Find the area under the rectified i versus t curve between t1 and t2 by computing the integral f i dt. Since dq = i dt this area equals the charge that flows during the t1 to t2 time interval.
(c) Set the result in part (b) equal to Irav (t2 – t1) and calculate Irav terms of the current amplitude I, compare your answer to Eq. (31.3).