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+// Example 1.9

+

+clear; clc; close;

+

+format('v',7);

+// Given data

+R2=0.04;//in ohm

+X2=0.2;//in ohm

+

+//Calculations

+R2dash=X2;//in ohm (for Tm=Tst)

+//formula : R2dash=R2+rex

+Rex=R2dash-R2;//in ohm/phase

+disp(Rex,"(i) External resistance required in ohm/phase : ");

+disp("For Tst=Tm/2, Tm=k*E2^2/2/X2 and Tst=k*E2^2*R2/(R2^2+X2^2)");

+disp("This gives a polynomial for value of R2dash.");

+P=[1 -4*X2 X2^2];//R2dash^2-4*X2*R2dash+X2^2=0

+R2dash=roots(P);//in ohm

+disp(R2dash,"Value of R2dash(ohm) are ")

+disp(R2dash(2),"But R2dash cant be greater than X2, R2dash(ohm) is : ");

+Rex=R2dash(2)-R2;//in ohm/phase

+disp(Rex,"(ii) External resistance required in ohm/phase : ");