Question

A 16.0 μF capacitor and a 5.30 mH inductor are connected in series with an open...

A 16.0 μF capacitor and a 5.30 mH inductor are connected in series with an open switch. The capacitor is initially charged to 6.30 μC.

What is the angular frequency of the charge oscillations in the capacitor after the switch is closed?

ω = ________ rad/s

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Answer #1

The resonance frequency of the circuit is

           f = 1 / 2pi sqrt ( LC )

angular frequency = 2 pi f

                             = 1/ sqrt ( LC )

                              = 1/ sqrt ( (5.30x10-3 H ) (16.0x10-6 F )

                               = 3434.014 rad/s

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