Question

1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10 Henries, R 20 ohms, C = 0.02 Farads, the initial charge is Q(0) = 0, the initial current is I(0) = 0, there is an electromotive force forcing the RLC circuit via the voltage function E(t) letting the current alternate naturally through the circuit. Use the fact the differential 10 sin (t), nd then, at t = 2T seconds, the battery is turned off dQ equation L dt2 1 + dt (1 ())0sint 2n) to find the solution for Q(t) and +R Q. C then take its derivative to find I(t). Be careful of discontinuities when taking the derivative Graph both Q and I using your favorite software and attach them

Answer 1

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