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+clc;

+v=230; // rated voltage of motor 

+p=6; // number of poles 

+f=4*10^-3; // flux per pole in Wb/A

+T=20; // load torque

+n=800; // speed at T=20 N-m

+a=2; // for wave connected conductors number of parallel path 

+z=432; // number of conductors

+r=1; // total resistance of motor

+// it is given that T=kn^2, therefore 

+k=T/n^2; // proportionality of constant

+r1=(f*z*p)/(60*a); // ratio of back EMF to product of speed and armature current

+t=(r1*60)/(2*%pi); // ratio of full load torque to square of armature current

+// also Ea(back EMf)=v-ia*ra and r1=Ea/(n*ia) compairing both we get ia=v/(1+r1*n);

+// Also k*n2^2=t*ia^2 , in this expression putting value of ia and solving quadratic equation in n2

+t1=sqrt(k)*r1;

+t2=sqrt(k);

+t3=-sqrt(t)*v;

+p=[ t1 t2 t3 ];

+n2=roots(p);

+printf('Speed of motor is %f rpm\n',n2(2));

+ia=v/(1+r1*n2(2));

+printf('Armature current when motor is connected to rated supply is %f A',ia);