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+clc;
+v=250; // supply voltage
+i=50; // current drawn from supply
+ic=0.4; // percentage increase in speed
+T=1.2; // ratio of final and initial torque
+n=1.4;// ratio of final and initial speed
+ra=0.5; // armature resistance
+Ea1=v-i*ra; // counter EMF at initial speed
+// ia2=(T2/T1)*ia1*k where k=f1/f2 and T1 is initial torque and T2 is final torque now writing Ea2(counter EMF at 1000rpm) in terms of k and finding value of k by solving quadratic equation in k whose terms are
+t1=T*ra*i;
+t2=-v;
+t3=n*Ea1;
+p=[ t1 t2 t3 ];
+k=roots(p);
+fr=(1-(1/k(2)))*100;
+printf('Percentage reduction in field flux is %f percent',fr);