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: Solve for the coefficients within the general solution using the initial conditions (i.e., A₁ and A2). [Hint: use a calculator to solve as a system of equations via the inverse matrix.]

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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:
Solve for the coefficients within the general solution using the initial conditions (i.e., A₁
and A2). [Hint: use a calculator to solve as a system of equations via the inverse matrix.]
Transcribed Image Text:Solve for the coefficients within the general solution using the initial conditions (i.e., A₁ and A2). [Hint: use a calculator to solve as a system of equations via the inverse matrix.]
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