Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is bp ° dt g = E(t). dt 2 See this excerpt about LRC-series circuits. Use the Laplace transform to find q(t) when L = 1 h, R = 20 N, C = 0.005 f, E(t) = 130 V, t > 0, q(0) = 0, and i(0) = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is
+R dq
dt 2
= E(t).
C
dt
See this excerpt about LRC-series circuits. Use the Laplace transform to find q(t) when L = 1 h, R = 20 N, C = 0.005 f, E(t) = 130 V, t > 0, q(0) = 0, and i(0) = 0.
Transcribed Image Text:Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is +R dq dt 2 = E(t). C dt See this excerpt about LRC-series circuits. Use the Laplace transform to find q(t) when L = 1 h, R = 20 N, C = 0.005 f, E(t) = 130 V, t > 0, q(0) = 0, and i(0) = 0.
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