Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is d²q + Rdq + 1 =9=E(t). dt² dt C See this excerpt about LRC-series circuits. Use the Laplace transform to find g(t) when L = 1 h, R = 20 , C = 0.005 f, E(t) = 130 V, t > 0, q(0) = 0, and i(0) = 0. q(t) = X What is the current i(t)? i(t) = X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is
d²q
1
+ Rdq
+ -9 = E(t).
dt² dt
See this excerpt about LRC-series circuits. Use the Laplace transform to find a(t) when L = 1 h, R = 20 , C = 0.005 f, E(t) = 130 V, t > 0, q(0) = 0, and i(0) = 0.
q(t) =
X
What is the current i(t)?
i(t) =
X
Transcribed Image Text:Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is d²q 1 + Rdq + -9 = E(t). dt² dt See this excerpt about LRC-series circuits. Use the Laplace transform to find a(t) when L = 1 h, R = 20 , C = 0.005 f, E(t) = 130 V, t > 0, q(0) = 0, and i(0) = 0. q(t) = X What is the current i(t)? i(t) = X
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