d. i₁ (t).

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ISBN:9780133923605
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Publisher:Robert L. Boylestad
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Still need help with Part d. 

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CVo
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Transcribed Image Text:ic + CVo - il Io iR R + v
A 10 mH inductor, a 1 uF capacitor, and a variable resistor are connected in parallel
in the circuit shown. The resistor is adjusted so that the roots of the characteristic
equation are -8000 j6000 rad/s. The initial voltage on the capacitor is 10 V, and
the initial current in the inductor is 80 mA. Find
a. R;
b. dv (0¹) /dt;
c. B₁ and B₂ in the solution for v; and
d. it (t).
Transcribed Image Text:A 10 mH inductor, a 1 uF capacitor, and a variable resistor are connected in parallel in the circuit shown. The resistor is adjusted so that the roots of the characteristic equation are -8000 j6000 rad/s. The initial voltage on the capacitor is 10 V, and the initial current in the inductor is 80 mA. Find a. R; b. dv (0¹) /dt; c. B₁ and B₂ in the solution for v; and d. it (t).
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I dont understand what is written for this answer. It is all jumbled together and hard to follow. Can somebody write it out so I can follow the steps better. 

Given values for part C are: B1 = 10 V, B2 = -80/30V

The answer for part d is: 

10e^8000t[8 cos 6000t + (82/3) sin 6000t] mA

But I dont understand the steps to arrive at this solution. Please help. 

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