PHY2061 R. D. Field Department of Physics chp36_8.doc University of Florida An LC Circuit At t = 0the switch is closed and a capacitor with initial charge Q0is connected in series across an inductor (assume there is no resistance). The initial conditions are Q(0) = Q0and I(0) = 0. Moving around the circuit in the direction of the current flow yields QCLdIdt−=0. Since I is flowing out of the capacitor, IdQdt=−/, so that dQLCQ2210+=. This differential equation for Q(t)is the SHM differential equationwe studied earlier with ω=1/and solution QtAt Bt()cossin=+ωω.
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