Given the following differential equation d²q + Rdq dt² (a) Define the type of series circuit. L dq 1 + q=E(t) dt C (b) With L=1 h, R= 20 , C = 0.005 f, E(t)=150 V, t>0, q(0) = 0 dan i(0) = 0, use Laplace transform to find q(t). (c) Using the result in part (b), find the current i(t)?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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Given the following differential equation
+R. + ;q=E(t)
dq 1
C
(a) Define the type of series circuit.
Ld²q
dt² dt
(b) With L=1 h, R=202, C = 0.005 f, E(t)=150 V, t>0, q(0) = 0 dan i(0) = 0,
use Laplace transform to find q(t).
(c) Using the result in part (b), find the current i(t)?
Transcribed Image Text:Given the following differential equation +R. + ;q=E(t) dq 1 C (a) Define the type of series circuit. Ld²q dt² dt (b) With L=1 h, R=202, C = 0.005 f, E(t)=150 V, t>0, q(0) = 0 dan i(0) = 0, use Laplace transform to find q(t). (c) Using the result in part (b), find the current i(t)?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,