- #1

Rick001

- 1

- 0

## Homework Statement

## Homework Equations

## The Attempt at a Solution

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I got the first 2 parts, but I'm having trouble with the last one. For the time the switch S

_{1}is closed, I derived ##q(t) = CE(1 - \cos(\frac{t}{\sqrt{LC}}))##, by writing the loop equation ##\frac{E}{L} - \frac{1}{LC}q = \frac{d^2 q}{dt^2}##, from that we get charge on the capacitor after t

_{0}to be CE and differentiating my expression, we get current at t=t

_{0}to be ##\frac{CE}{\sqrt{LC}}##, after closing S

_{2}and opening S

_{1}, we have a loop where the inductor has a current ##\frac{CE}{\sqrt{LC}}## flowing through it and one capacitor has a charge CE, the other is uncharged. Now for the third part of the question, I tried finding the total energy of the components currently connected, we get a total of CE², I thought equating this to ½L(I

_{max})² would give me the answer, but none of them match. Why does this not work? Where is my working wrong? The answer for the last part is given as (c)