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in Physics by (64.1k points)

A charged capacitor is connected across an inductor to form an LC circuit. When the charge on the capacitor is 0.1 C the current is 0.5 Amps. If it the period of the LC oscillations is 2 seconds what is the maximum charge on the capacitor (in C)?

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We know that at some time (say t = 0) that Q0 = 0.1 C and I0 = 0.5 A. Energy is consrved in an LC circuit which implies that at any other time t,

The maximum charge occurs when I = 0 and hence,

Solving for Qmax gives

where T is the period of the oscillations. 

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