Help physics problem!! Initially, for the circuit shown, the switch S is open an

Question

Help physics problem!!

Initially, for the circuit shown, the switch S is open and the capacitor voltage is 150 V. The resistance and capacitance are 3.1 M? and 10 F respectively. The switch S is closed at time t = 0. In Figure, the charge in C on the capacitor, when the current in the circuit is 17 A, is:

Help physics problem!! Initially, for the circuit shown, the switch S is open and the capacitor voltage is 150 V. The resistance and capacitance are 3.1 M? and 10 I 1/2 F respectively. The switch S is closed at time t = 0. In Figure, the charge in i 1/2 C on the capacitor, when the current in the circuit is 17 i 1/2 A, is:

Explanation / Answer

Maximum Current

Imax=V/R =150/3.1*106=48.4 uA

In a RC Circuit current as a funtion of time is given by

I=Imaxe-t/T

17=48.4e-t/T

e-t/T=0.3513

Maximum Charge

Qmax=CV=(10*10-6)*150=1.5*10-3 C

In RC Circuit Charge as a funtion of time is

Q=Qmaxe-t/T=(1.5*10-3)*0.3513

Q=5.27*10-4 C or 527 uC

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