# Circuit with two switches

**1. The problem statement, all variables and given/known data**

Consider the circuit shown below. Use this circuit for both parts of this question. Be sure to answer both parts!

Both capacitors are originally uncharged and both switches are open. S1 is now closed; S2 remains open. A long time passes. Switch S1 is now opened. A very short time later switch S2 is closed, and remains closed for a long time.

G. What is the potential difference across C1?

H. What is the potential difference across C2?

I. What is the charge on capacitor C1?

J. What is the charge on capacitor C2?

K. What is the electrical potential energy stored in capacitor C1?

L. What is the electrical potential energy stored in capacitor C2?

**2. Relevant equations**

C=C1+C2

Q=CV

U=1/2CV^2

V=IR

Q=CV(1-e^(-t/RC))

**3. The attempt at a solution**

I was stuck immediately because once S1 is opened, there is no more potential in the system which makes everything else impossible. I thought that maybe the capacitor C1 might discharge but the equation for discharge also contains a V.

Thank you ahead of time

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