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//=============================================================
//Chapter 5 example 28
clc;
clear all;
//variable declaration
V = 230; //RMS value of voltage applied in volts
r1 = 115; //resistance in Ω
r2 = 115; //resistance in Ω
r3 = 575; //resistance in Ω
//calculations
Vmax =230*sqrt(2);
R1 =r1+r2; //resiatance in one directions in Ω
R2 =r2+r3; //resiatance in other directions in Ω
Imax1 = Vmax/R1; //current(maximum value) in one direction in A
Imax2 = Vmax/R2; //current(maximum value) in other direction in A
//Iav = Iav1-Iav2
//x = (Imax1*sin(theta))
//Iav = ((1/2*%pi)*{(integral(x*dtheta))}(0-%pi)))
//y = (Imax2*sin(theta))
//Iav = ((1/2*%pi)*{(integral(y*dtheta))}(0-%pi)))
z1 =-((cos(180*%pi/180))-cos(0))
z2 = -((cos(180*%pi/180))-cos(0))
A = ((Imax1*z1)-(Imax2*z2));
Iav = A/(2*%pi);
//x1 = (Imax1*sin(theta))^2
//I1 = ((1/2*%pi)*{(integral(x1*dtheta))}(0-%pi)))
//y1 = (Imax2*sin(theta))^2
//I2 = ((1/2*%pi)*({(integral((1-cos(2*theta))/2*dtheta))}(0-%pi)))-{(integral((1-cos(2*theta))/2*dtheta))}(0-%pi)))
//Irms= I1+I2
//Irms = ((1/2*%pi)*{(integral(y1*dtheta))}(0-%pi)))
Z1 =-((cos(2*180*%pi/180))-cos(180*%pi/180));
Z2 = -((cos(2*180*%pi/180))-cos(180*%pi/180));
Irms1 = (((Imax1^2)/(2*2*%pi))*(%pi-0))+(((Imax2^2)/(2*2*%pi))*(%pi-0))-Z1+Z2
Irms =sqrt(Irms1);
P = (1/2)*(((V^2)/R1)+((V^2)/R2));
Irms11 = 1;
Irms22 = 1/3;
Pd = (((Irms11^2)*r2)+((Irms22^2)*r3))/2;
//result
mprintf("Iav = %3.2f A",Irms1);
mprintf("\npower taken from the mains = %3.2f",P);
mprintf("\npower dissipated in rectifying device =%3.2f W",Pd);
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