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 -8000j6000 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 (0*)/dt; c. B₁ and B₂ in the solution for v; and

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Chapter33: Single-phase Motors
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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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