//CHAPTER 2- STEADY-STATE ANALYSIS OF SINGLE-PHASE A.C. CIRCUIT //Example 20 // read it as example 19 in the book on page 2.72 disp("CHAPTER 2"); disp("EXAMPLE 20"); //VARIABLE INITIALIZATION L=0.5 //in Henry C=5 //in mf, multiply by 10^-6 to convert to f R=25 //in ohms //SOLUTION //solution (i) //Resonance frequency f = (1/2π)sqrt((1/LC)-R^2/L^2) fr=(1/(2*%pi))*sqrt((1/(L*C*10^-6))-(R^2)/(L^2)); disp("SOLUTION (i)"); disp(sprintf("For parallel circuit,Resonant frquency is %3.2f Hz", fr)); disp(" "); //solution (ii) //Total circuit impedance at resonance is Z=L/RC z=L/(R*C*10^-6); disp("SOLUTION (ii)"); disp(sprintf("Total impedence at resonance is %3.0f kΩ", z/1000)); // //solution (iii) //Bandwidth (f2-f1)=R/(2.π.L) bw=R/(2*%pi*L); disp("SOLUTION (iii)"); disp(sprintf("Bandwidth is %3.2f Hz", bw)); // //solution (iv) //Quality factor Q=1/R.sqrt(L/C) Q=(1/R)*sqrt(L/(C*10^-6)); disp("SOLUTION (iv)"); disp(sprintf("Quality Factor is %3.2f", Q)); //solution in the book is wrong as there is a total mistake in imaginery part 7.2+0.798=11.598 // //END