Question

A capacitor C = 6 μF is connected in series with an inductor L = 135...

A capacitor C = 6 μF is connected in series with an inductor L = 135 mH and a battery V = 12 volts at t < 0. At t = 0, the battery is disconnected.

a) What is the frequency of oscillations (ω& f) of this LC circuit?

b) How many seconds will it take for the energy of the capacitor to be 3 times larger than the energy of the inductor?

c) At 3 seconds, what is VL, VC, QC, and the current I in the circuit?

Answers Should Be:

a) ω = 1,111.11 rad/sec, f = 176.8 Hz

b) .47 msec

c) VL = VC = -11.94 volts, Qc = -71.6 μC, I = + 8 mA

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