chp36_8 - PHY2061 R. D. Field An LC Circuit Switch Q + + L...

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PHY2061 R. D. Field Department of Physics chp36_8.doc University of Florida An LC Circuit At t = 0 the switch is closed and a capacitor with initial charge Q 0 is connected in series across an inductor (assume there is no resistance). The initial conditions are Q(0) = Q 0 and I(0) = 0 . Moving around the circuit in the direction of the current flow yields Q C L dI dt −= 0 . Since I is flowing out of the capacitor, Id Q d t =− / , so that dQ LC Q 2 2 1 0 += . This differential equation for Q(t) is the SHM differential equation we studied earlier with ω = 1/ and solution Qt A t B t () co s s in =+ ωω .
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