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+clc;

+// subscripts 1 and 2 are used to refer 50 hz and 60 hz quantity respectively

+// voltage and current is same for both the cases

+s=1.6; // Steinmetz's coefficient

+poh1=1.6; // percentage ohmic losses

+ph1=0.9; // percentage hysteresis losses

+pe1=0.6; // percentage eddy current losses

+f1=50; // frequency in hertz

+f2=60; // frequency in hertz

+B=f1/f2 // since voltage level are same for both cases ratio of flux densities i.e Bm2/Bm1=f1/f2

+ph2=ph1*(f2/f1)*B^s; // percentage hysteresis losses

+pe2=pe1*(f2/f1)^2*B^2; // percentage eddy current losses

+poh2=poh1; // since the voltage and current levels are same therefore ohmic losses are same

+// for the total losses to be remain same at both the frequencies only ohmic losses can be  varied

+p=poh1+ph1+pe1; // total losses at 50 hz

+pc=ph2+pe2; // total core losses at 60 hz

+pnoh=p-pc; // permissible value for new ohmic losses 

+x=sqrt(pnoh/poh1); // factor by which output at 50 hz should be multiplied to get the same output at 60 hz

+printf('ohmic losses at 60 hz is %f percent\n',poh2);

+printf('hysteresis losses at 60 hz is %f percent\n',ph2);

+printf('eddy current losses at 60 hz is %f percent\n',pe2);

+printf('factor by which output at 50 hz should be multiplied to get the same output at 60 hz is %f ',x);