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A 10 microF capacitor with an initial charge Q0 is connected across an 8 milliH inductor. If the circuit is completed at time t = 0, how soon (in millisec) afterward will the charge on the capacitor reverse sign and become equal to -Q0

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For this LC circuit Q = Q0cos(ωt) which is equal to –Q0 when ωt = π so that

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