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//CHAPTER 3- THREE-PHASE A.C. CIRCUITS
//Example 12
clc;
disp("CHAPTER 3");
disp("EXAMPLE 12");
//VARIABLE INITIALIZATION
v_l=400; //in Volts
f=50; //in Hertz
w1=2000; //in Watts
w2=800; //in Watts
//SOLUTION
//solution (a)
p1=w1+w2;
p2=w1-w2;
phi=atan((sqrt(3)*p2)/p1); //this equation comes from two-wattmeter method
pow_fact=cos(phi);
disp(sprintf("(a) The power factor of the circuit is %f (leading)",pow_fact));
//solution (b)
I_l=p1/(sqrt(3)*v_l*pow_fact);
disp(sprintf("(b) The line current is %f A",I_l));
//solution (c)
v_ph=v_l/sqrt(3);
z_ph=v_ph/I_l; //phase current = line current for delta connection
r_ph=z_ph*pow_fact;
disp(sprintf("(c) The resistance of each phase is %f Ω",r_ph));
xc=sqrt((z_ph^2)-(r_ph^2));
c=1/(2*%pi*f*xc);
disp(sprintf("The capacitance of each phase is %E F",c));
//END
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