Question

Circuit Analysis in the s-Domain 15.3. The initial voltage across the capacitor in the circuit shown in Figure P15.3 is v(0) 1 V, and the initial current through the inductor is i(0)0 mA Find the voltage vo (t) across the capacitor for t 2 0 Figure P15.3 50 mH 1 kS2 V. Volt) T 0.1 μF The circuit in the s-domain is shown below. R2 Va 1k 0.05s 1/(sC)-1e7/s Vo R1 2k V (0-ys 5/s 1/s 1 format long; 2 R1-2000;R2-1000;L-50e-3;C-0.1e-6;10-0;v0-1; 3 syns s Va Vo % symbolic variables 5 % write the node equation for the currents leaving node a 6 EqA 8 % Write the node equation for the currents leaving node b 10 11 v#50 lve (EqA,EqB, Va , Vo) % This command solves the two equations to find the node 12 Va-V. Va 3 Vo V.Vo 14 Va subs (Va) 15 Vo subs (Vo) 16 Vo simplify (Vo) 17 [Num, Den]-numden (Vo) 18 N1#5ym2poly(Num) 19 D1#5ym2poly(Den) 20 N-N1/D1 (1) 21 D D1/D1(1) 22 Z-roots(N) 23 P roots (D) bode (H):grid; 27% Find vo(t) by taking the inverse laplace of Vo. Use matlab command for inverse 9 vovpa(vo, 8) Run Script

Answer 1

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