Question

6.2 Capacitors Do it yourself! The voltage waveform in Fig. is applied across a 30-uF capacitor. Draw the current waveform through it. 2 468 10/12 t(ms) 10

Answer 1

Given voltage wave form as c = 30 mu F = 30 times 10^-6 F from 0 sec to 2 sec i(t) = c dv/dt = c v_2 - v_1/t_2 - t_1 = 30 times 10^-6 times 10 - 0/(2 - 0) times 10^-3 = 30 times 10^-3 times 10/2 = 150 times 10^-3 = 150 mv for 2 m sec < t = 4 m sec i(t) = c dv/dt = c v_2 - v_1/t_2 - t_1 = 30 times 10^-6 times 10 - 10/(4 - 1) times 10^3 for 4 m sec < t < 8 m sec i(t) = c dv/dt = c v_2 - v_1/t_2 - t_1 = 30 times 10^-6 - 10 - (-10)/(8 - 4) times 10^-3 = 30 times 10^-3 times -20/4 = -150 mv for 8 m sec < t < 10 m sec i(t) = c dv/dt = c v_2 - v_1/t_2 - t_1 = 30 times 10^-6 - 10 - (-10)/(10 - 8) times 10^-3 = 0 v for 10 m sec < t < 12 m sec i(t)