ASSESSMENT PROBLEM
Objective 1 - Be able to determine the natural response and the step response of parallel RLC circuits
8.6 In the circuit shown, R = 500Ω, L = 0.64H, C = 1μF, and I = -1A. The initial voltage drop across the capacitor is 40V and the initial inductor current is 0.5A. Find (a) i_R(0^+); (b) i_C(0^+); (c) di_L(0^+)/dt; (d) s_1, s_2; (e) i_L(t) for t >= 0; and (f) v(t) for t >= 0^+.
Answer:
(a) 80mA;
(b) -1.58A;
(c) 62.5A/s;
(d) (-1000+j750)rad/s, (-1000-j750)rad/s;
(e) 2.0833sin(750t) A, for t >= 0;
(f) e^(-1000t)(40cos(750t)-2053.33sin(750t))V, for t >= 0^+.
NOTE: Also try Chapter Problems 8.27-8.29.
ASSESSMENT PROBLEM
Objective 1 - Be able to determine the natural response and the step response of parallel RLC circuits
8.6
In the circuit shown, R = 500, L = 0.64H, C = 1F, and I = 1A. The initial voltage drop across the capacitor is 40V and the initial inductor current is 0.5A. Find (a) i_R(0); (b) i_C(0+); (c) di_L(0+)/dt; (d) s_1, s_2; (e) i for t >= 0; and v for 0
Answer:
(a) 80mA;
(b) -1.58A;
(c) 62.5A/s;
(d) -1000+j750rad/s, -1000-j750rad/s;
(e) 1+e^(-1000t)1.5cos(750t) 2.0833sin(750t) A for t >= 0;
(f) e^10040cos(750t)-2053.33sin(750t)V +0110
NOTE: Also try Chapter Problems 8.27-8.29.
