Recall that the differential equation for the
Chapter 7, Problem 34E(choose chapter or problem)
Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is given by
\(L \frac{d^{2} q}{d t^{2}}+R \frac{d q}{d t}+\frac{1}{C} q=E(t)\). (20)
See Section 5.1. Use the Laplace transform to find q(t) when L = 1 h, \(R=20 \Omega\), C = 0.005 f, E(t) = 150 V, t 0, q(0) = 0, and i(0) = 0. What is the current i(t)?
Text Transcription:
L d^2q/dt^2 + R dq/dt + 1/C q = E(t)
R = 20 Omega
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