Recall from Section 5.1 that the differential equation for the instantaneous charge q(t) on the capacitor in an RC-series circuit is 19 = E(t). dq R + 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 = 2.5, C = 0.2 f, E(t) given in the figure below ₂-5(1-3)) q(t) = 0 E(t) 5 3 (1- - e t )u(t - 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
1
-9 =
29
dt
dq
R +
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 = 2.5, C = 0.2 f, E(t) given in the figure below
)u(t - 3
q(t) = 0
-5 (1-3))
- e
E(t)
5+
L
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 1 -9 = 29 dt dq R + 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 = 2.5, C = 0.2 f, E(t) given in the figure below )u(t - 3 q(t) = 0 -5 (1-3)) - e E(t) 5+ L 3
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