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LC Circuit With A Battery

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There is a LC circuit with a battery with emf (E). The battery is connected in series with the inductor and the capacitor. At t=0 the charge of the capacitor is Q and the current in the circuit is 0.

a) Draw the circuit and put the battery wherever you want.
b) Write the 2nd law of Kirchhoff for the circuit.
c) Find the charge q(t) and the current i(t) for the circuit.

Thank you

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The expert examines LC circuit with a battery.

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The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

Note that I used V0 for the battery EMF and Q0 for the charge on the capacitor at t=0

The circuit is:

The ...

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