
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question
To calculate a particular solution, initial conditions need to be used. initial condition v_C'(t=0) will have to be obtained from the initial condition i_L(t=0).

Transcribed Image Text:Given the following circuit,
+
iR
ic
+
+
VC
L
R
VR
ט
C
-
Figure 1: RLC Natural Response Circuit
Where C = 0.125µF, L = 8H, and R = 20k2, and the initial conditions are v₁(0+) = 0V and
i₂(0*) = −12.25mA, complete the following:
![dvc(0+)
[Hint: use the
dt
Use the i̟ (0*) initial condition to calculate an initial condition for
resistor's i-v relationship, the KCL formula, and the capacitor's iv-relationship.]](https://content.bartleby.com/qna-images/question/d49a5070-9d99-4a2f-a144-be47e7ddead5/b2138634-d34f-4ad8-b547-a03354dccad5/45cgy7q_thumbnail.png)
Transcribed Image Text:dvc(0+)
[Hint: use the
dt
Use the i̟ (0*) initial condition to calculate an initial condition for
resistor's i-v relationship, the KCL formula, and the capacitor's iv-relationship.]
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- Please help with this problem clear and neat step by step solutionarrow_forwardCan you help give a detailed step by step explanation of the math in this solution:arrow_forwardI am very lost on the steps it takes to complete these problems from start to finish, If at all possible can you please give a fairly detailed explanation of the steps you took to solve the problem. KCL, and KVL still confuse me and I'm unsure of how to get the equations on my own. I'm attempting to gain some helpful practice but find it hard when I don't understand how the equations were acquired.arrow_forward
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