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diff --git a/1445/CH2/EX2.19/ch2_ex_19.sce b/1445/CH2/EX2.19/ch2_ex_19.sce new file mode 100644 index 000000000..dbac96db8 --- /dev/null +++ b/1445/CH2/EX2.19/ch2_ex_19.sce @@ -0,0 +1,50 @@ +//CHAPTER 2- STEADY-STATE ANALYSIS OF SINGLE-PHASE A.C. CIRCUIT +//Example 19 + +disp("CHAPTER 2"); +disp("EXAMPLE 19"); + +//VARIABLE INITIALIZATION +z1=4+(%i*3); //impedance in rectangular form in Ohms +z2=6-(%i*8); //impedance in rectangular form in Ohms +z3=1.6+(%i*7.2); //impedance in rectangular form in Ohms +v=100 //in volts +//SOLUTION + +//solution (i) +//Admittance of each parallel branch Y1 and Y2 +Y1=1/z1; +Y2=1/z2; +disp("SOLUTION (i)"); +disp(sprintf("Admittance parallel branch 1 is %3f %3fj S", real(Y1), imag(Y1))); +disp(sprintf("Admittance parallel branch 2 is %3f+%3fj S", real(Y2), imag(Y2))); +disp(" "); + +//solution (ii) +//Total circuit impedance Z=(Z1||Z2)+Z3 +z=z3+(z2*z1)/(z1+z2) +disp("SOLUTION (ii)"); +disp(sprintf("Total circuit impedance is %3f %3fj S", real(z), imag(z))); +//solution in the book is wrong as there is a total mistake in imaginery part 7.2+0.798=11.598 +// +//solution (iii) +//Supply current I=V/Z +i=v/z; +function [z,angle]=rect2pol(x,y); +z0=sqrt((x^2)+(y^2)); //z is impedance & the resultant of x and y +angle=atan(y/x)*(180/%pi); //to convert the angle from radians to degrees +endfunction; +[z, angle]=rect2pol(real(i), imag(i)); +//disp(sprintf("%f, %f",z,angle)); +//disp(sprintf("%f, %f",real(i), imag(i))); +pf=cos(angle*%pi/180); + +disp("SOLUTION (iii)"); +disp(sprintf("The power factor is %f",pf)); +//solution (iv) +//Power supplied by source = VI cosĪ¦ or I^2 . R +P=v*real(i)*pf; + +disp("SOLUTION (iv)"); +disp(sprintf("The power supplied by source is %f watt",P)); +//END |