Use the Laplace transform to find the charge q(t) in a series RC circuit when q(0) = 0, E(t) = E0e^-kt, R = 405, C = 0.005 f, and k = 1/RC. The differential equation is the following: dq 1 dt q=E₂e-kt + C
Use the Laplace transform to find the charge q(t) in a series RC circuit when q(0) = 0, E(t) = E0e^-kt, R = 405, C = 0.005 f, and k = 1/RC. The differential equation is the following: dq 1 dt q=E₂e-kt + C
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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![Use the Laplace transform to find the charge q(t) in a series RC circuit
when
q(0) = 0, E(t) = E0e^-kt, R = 400, C = 0.005 f, and k = 1/RC.
The differential equation is the following:
dq 1
R += q =
q = E₂e-kt
dt C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cc1d089-e770-44a5-a2ff-6f51ccb67ccc%2F12be7328-8178-44b9-92a8-9ce32490fa35%2Filxejp4_processed.png&w=3840&q=75)
Transcribed Image Text:Use the Laplace transform to find the charge q(t) in a series RC circuit
when
q(0) = 0, E(t) = E0e^-kt, R = 400, C = 0.005 f, and k = 1/RC.
The differential equation is the following:
dq 1
R += q =
q = E₂e-kt
dt C
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