Question

[Series circuit analogue: RLC circuit with nonzero resistance R and nonzero voltage E(t) as forcing function is analogous to a forced damped spring/mass system.] Consider the RLC circuit with inductance L = 8 henrys, resistance R = 16 ohms, capacitance C = 0.025 farads, and voltage E(t) = 17 cos 2t volts.

(a) Find the current in the circuit for t > 0, given that at time t = 0 the capacitor is uncharged and there is no current flowing. Hint: current i(t) is the rate of change of charge q(t). The initial conditions simply mean ?(0) = 0, ?′(0) = 0

(b) What are the transient and steady-state solutions?

Answer #1

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Q(t): Q’’ + Q’ + Q
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C = 0.0025 farads
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V
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