The circuit shown in the figure(Figure 1) shows a resistor and two capacitors co

Question

The circuit shown in the figure(Figure 1) shows a resistor and two capacitors connected in series with a battery of voltage V . The circuit also has an ammeter and a switch. Initially, the switch is open and both capacitors are uncharged. The following questions refer to a time long after the switch is closed and current has ceased to flow.

Part A

In terms of V, what is the voltage across the capacitor C1?

Express your answer in terms of V.

Part B

In terms of CV, what is the charge on the right plate of C2?

Express your answer in terms of CV.

Part C

What is the net charge that flowed through the ammeter during charging? Give your answer in terms of CV.

Express your answer in terms of CV.

Explanation / Answer

A) voltage across C1, V1 = V*C2/(C1+C2)

= V*2*C/(C+2*C)

= (2/3)*V

B) V2 = V - V1

= V - (2/3)*V

(1/3)V

Q2 = C2*V2

= 2*C*(1/3)*V

= (2/3)*C*V

C)

the flowing through ammetere = Q2 = (2/3)*C*V

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