Solved: A 10 mH inductor, a capacitor, and a variable resistor are connected in parallel

Chapter 8, Problem 8.4

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A 10 mH inductor, a 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 The initial voltage on the capacitor is 10 V, and the initial current in the inductor is 80 mA. Find a) R; b) c) and in the solution for ; and d) iL(t). B1 B2 v dv(0+)>dt; -8000 ; j6000 rad>s. 1 mF Answer: (a) (b) (c) (d) + (82>3)sin 6000t] mA when t 0. iL(t) = 10e-8000t [8 cos 6000t B B2 = -80>3 V; 1 = 10 V, -240,000 V>s; 62.5 ;