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//===========================================================================
//chapter 9 example 4
clc;
clear all;
//variable declaration
f1 = 60; //frequency in Hz
f2 = 50; //frequency in Hz
C1 = 10^-6; //inductance of circuit
R1 = 100; //resistance in Ω
C2 = 1.5*10^-6; //capacitance
//calculations
L1 = 1/(4*((%pi)^2)*((f1)^2)*C1); //inductance of circuit in H
w = 2*%pi*f2;
Z1 = R1+(%i)*((w*L1)-(1/(w*C1))); //impedance of circuit at 50 Hz Ω
//Z2 = R1+(%i)*((w*L2)-(1/(w*C2))); //impedance of circuit at 50 Hz Ω
//real(Z2) = real(Z1)
//((w*L2)-(1/(w*C2))) = real(Z1)=963
x =abs((w*L1)-(1/(w*C1)))
y = 1/(w*C2);
L2 =(x+y)/w;
z = sqrt(1/(L2*C2));
f2 = (1/(2*%pi))*(z);
//result
mprintf("resonant frequency of circuit = %3.1f Hz",f2);
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