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//Using thevenin theorem determine current through 2 ohm resistor
clc;
clear;
// Characteristic equation to find Vth
// 14i1+12i2 = 2
// 12i1+16i2 = 4
// Resistors in the circuit in order from the 2V side
R1=2;
R2=12;
R3=1;
R4=3;
// Voltage Sources
V1=2;
V2=4;
Z=[14 12; 12 16]; // Resistance Matrix
V=[V1; V2]; // Voltage Matrix
I=inv(Z)*V; // Current Matrix
i1=I(1);
i2=I(2);
Vth=V2-(i2*R4);
Reff= R3 +((R1*R2)/(R1+R2));
Zth= Reff*R4/(Reff+R4);
Zl=2; // Resistor Connected between AB
Current = Vth/(Zth+Zl); // Current Through 2 ohm resistor
printf('The Current through 2 ohm resistor connected across AB = %g A\n',Current)
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