Question

A capacitor having an initial charge Q is connected in series with an inductor and a resistor. As...

A capacitor having an initial charge Q is connected in series with an inductor and a resistor. As a function of time, the charge on the capacitor

a) oscillates sinusoidally.

b) oscillates sinusoidally with decreasing amplitude.

c) does not change in time as there is no driving emf.

d) Not enough information to say.

please explain why

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Answer #1

If we connect the capacitor to resistor only the charge on cpapcitor decays with time.

While if we connect capacotor with inductor only, we know that LC oscillations takes place sinusoidally.

So if connect the cpapcitor with both resistor and inductor in series the charge will oscillateas well as decay.

So correct option is

b) oscillates sinusoidally with decreasing amplitude.

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