In the circuit shown at right, C1 is initially charged to voltage Vo and C2 (= C

Question

In the circuit shown at right, C1 is initially charged to voltage Vo and C2 (= C1) is initially uncharged. The switch, S, is initially open. a. How much energy is initially stored in the circuit, before S closes? Evaluate the voltages on C1, C2 and R just after S closes. How much energy is stored in C1 and C2 a long time after S has closed? How much energy has been dissipated in R a long time after S has closed? Assume R=0, and calculate the energy stored in C1 and C2 after S has closed. What does this mean for the principle of conserving energy?

Explanation / Answer

a)E=.5cVo^2 b) VR=Vo VC2=0V c)C1Vo=(c1+c2)V =>V= VoC1/(c1+c2)=Vo/2 d)E=.5cVo^2-.5*2*C*Vo^2/4=.25cvo^2 e)E=.5*2c/4Vo^2=.25cVo^2 some energy is released in charging the capacitor

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