close(); clear; clc; //resistance 'R', inductance 'L', angular frequency 'w', phase difference 'theta' R = 20; //ohm L = 15*10^(-3); //mH w = 1000; //rad/s theta = 45; //degree //net reactance of parallel LC combination = 20 ohm or -20 ohm C1 = poly(0,'C1'); pc1 = 1/(%i*w*L) - 1/(R*%i) + %i*w*C1; C1 = roots(pc1); C2 = poly(0,'C2'); pc2 = 1/(%i*w*L) + 1/(R*%i) + %i*w*C2; C2 = roots(pc2); mprintf("C1 = %0.2f uF\nC2 = %0.1f uF\n\n",C1*10^6, C2*10^6); mprintf("For smaller (larger) capacitance, I lags (leads) V by 45 degree");