Recall that the differential equation for the instantaneous charge g(t) on the capacitor in an LRC-series circuit is * Rdg dt R9 +9 = E(t). dt2 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. q(t) = What is the current i(t)? i(t) =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Recall that the differential equation for the instantaneous charge g(t) on the capacitor in an LRC-series circuit is
* Rdg
dt
R9 +9 = E(t).
dt2
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.
q(t) =
What is the current i(t)?
i(t) =
Transcribed Image Text:Recall that the differential equation for the instantaneous charge g(t) on the capacitor in an LRC-series circuit is * Rdg dt R9 +9 = E(t). dt2 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. q(t) = What is the current i(t)? i(t) =
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