The diagram below depicts an RC -circuit where C = 4.00 F, R1R1 = 13.5 , R2R2 =

Question

The diagram below depicts an RC-circuit where C = 4.00 F, R1R1 = 13.5 , R2R2 = 26.5 , and V0V0 = 8.50 Volts.

What is the current through R1R1 immediately after the switch S is closed?

What is the current through R2R2 immediately after the switch S is closed?

What is the current through the capacitor immediately after the switch S is closed?

What is the current through R1R1 after the switch S has been closed for a very long time? Assume that the battery does not go dead.

Explanation / Answer

given

C = 4 micro F

R1 = 13.5 ohm

R2 = 26.5 ohm

Vo = 8.5 V

a. immidiately after the switch S1 is closed

capacitor acts as shorted

hence

current through R1 = i

Vo = iR1

i = Vo/R1 = 8.5/13.5 = 0.672 A

b. current through R2 immidiately after the switch is closed

I = Vo/R2 = 0.3207 A

c. curent through capacitor = I 0.3207 A

d. after a very long time the capacito becomes an open circuit

current through R1 = V/R1 = 0.672 A

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