Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is given by

See Section 5.1. Use the Laplace transform to find q(t) when L = 1 h, R = 20 Ω, C = 0.005 f, E(t) = 150 V, t > 0, q(0) = 0, and i(0) = 0. What is the current i(t)?

Transcribed Image Text:

d'q 1 = E(t). C dq L + R dr? dt