Recall from Section 5.1 that the differential equation for the instantaneous charge q(t) on the capacitor in an RC-series circuit is dq R +g = E(t). Use the Laplace transform to find the charge q(t) on the capacitor in an RC-series circuit subject to the given conditions. q(0) = 0, R = 0.4 N, C = 0.5 f, E(t) given in the figure below ( 2.5(u(1 – 3) – e-5(1-5)u(1 – 3)) ) (: - [3 q(t) =| 0 + E(t) 4 5 - 3

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Recall from Section 5.1 that the differential equation for the instantaneous charge q(t) on the capacitor in an RC-series circuit is
dq
1
R
E(t).
dt
Use the Laplace transform to find the charge q(t) on the capacitor in an RC-series circuit subject to the given conditions.
q(0) = 0, R = 0.4 N, C = 0.5 f, E(t) given in the figure below
2.5(u(t –3) – e-5(-5)
– 3)
) 2(: - |3
q(t)
+
-e
E(t) +
3
Transcribed Image Text:Recall from Section 5.1 that the differential equation for the instantaneous charge q(t) on the capacitor in an RC-series circuit is dq 1 R E(t). dt Use the Laplace transform to find the charge q(t) on the capacitor in an RC-series circuit subject to the given conditions. q(0) = 0, R = 0.4 N, C = 0.5 f, E(t) given in the figure below 2.5(u(t –3) – e-5(-5) – 3) ) 2(: - |3 q(t) + -e E(t) + 3
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