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.]

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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). 

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:
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.]
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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