1 Lq" + Rq + ¿9 = 0 where q(t) is the charge across the capacitor. (a) By introducing a new variable I = q'(t), rewrite this equation as a system of two first order equations. (b) Suppose L = 1, R = 0 and C = 1/4. If q(0) = 8 and q'(0) = 0, guess a solution q(1). (c) For the solution you found in part (b), show a time series plot (q vs t) as well as a graph of q vs I in the phase plane.
1 Lq" + Rq + ¿9 = 0 where q(t) is the charge across the capacitor. (a) By introducing a new variable I = q'(t), rewrite this equation as a system of two first order equations. (b) Suppose L = 1, R = 0 and C = 1/4. If q(0) = 8 and q'(0) = 0, guess a solution q(1). (c) For the solution you found in part (b), show a time series plot (q vs t) as well as a graph of q vs I in the phase plane.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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answer all parts please
![1
Lq" + Rd +
where q(t) is the charge across the capacitor.
(a) By introducing a new variable I = q'(1), rewrite this equation as a system of two first order
equations.
(b) Suppose L = 1, R = 0 and C = 1/4. If q(0) = 8 and q'(0) = 0, guess a solution q(1).
(c) For the solution you found in part (b), show a time series plot (q vs t) as well as a graph of q vs
I in the phase plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc645f157-de33-48bb-a5af-be69e0c10ea4%2F58da978d-dc9a-45a5-9550-b51ccc22733b%2Fhnomht_processed.png&w=3840&q=75)
Transcribed Image Text:1
Lq" + Rd +
where q(t) is the charge across the capacitor.
(a) By introducing a new variable I = q'(1), rewrite this equation as a system of two first order
equations.
(b) Suppose L = 1, R = 0 and C = 1/4. If q(0) = 8 and q'(0) = 0, guess a solution q(1).
(c) For the solution you found in part (b), show a time series plot (q vs t) as well as a graph of q vs
I in the phase plane.
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