Question

Please provide detailed steps on how to do the following problem

Problemm At time t0 the switch is close. (a) Calculate the charge across the capacitor after a long time. (b) Calculate the voltage across the capacitor 2 ms after the switch is close (c) calculate the current in the circuit 1 ms after the switch is close (d) calculate the current in the circuit after a long time tClose 0 2 100Ω 20uF

Please provide detailed steps for the problem above.

Answer 1

a Q = CV Q = 5 times 10^- 6 times 20 = 100 times 10^- 6 C Q = 100 mu C b V(t) = -V_0.e^- t/RC + V_0 = V_0 (1 - e^- t/RC) = -5.e^- (2 times 10^- 3/(100 times 10^- 6 times 20)) + 1 times 5 V(2ms) = 5 - 5 times 0.367879 V(2ms) = 3.161 volt c I = I_max e^- t/RC = 5/100.e^- 1 times 10^- 3/(100 times 20 times 10^- 6) I = 30.326mA d I = 5/100 = 50mA I = 50mA.