Question

Attime t" ?, an AC ereut consists of . Iso-vent devce, a 70 resistor, and a l400wtapactor that is fuly charged. The S-teh g thoen so that the capacitor beprstodirharpe (a) What is the time constant r of this clircu? 0 5098 (b) How much charge is stored by the capacitor at .Sr, 2, and 41 5 944 espone difers signficantly trom t he correct answer Rework your solution from the beginning ahd check each step cavefully te-t)- HC

Answer 1

Given that at time t = 0 an R c circuit consists of a 16.0 -ve inf device a 70.0 ohm resistors and a 140.0 Ref capacitor that is fully charged the time constant of this circuit time constant = R C = 70 times 140 times 10^- 6 = 0.0098 when capacity is fully charged charge on capacitors Q_0 = cv = 140 times 16 = 2240 mu c then capacitor will discharge follows Q = Q_0 [e^(- t/R e)] t = 0.5 R c Q = 440 [e^(- 0.5)] - 1358.63 t = 2 R c Q = 2240 [e^(- 2)] - 303 .15 mu t = 4 R c Q = 2240 [e^(- 4)] = 41.03 mu c