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+clc;
+p=200; // rated KVA of transformer
+n=0.98; // efficiency
+t1=20; // temperature after one hour of operation
+t2=34; // temperature after two hour of operation
+r=1/3; // ratio of full load core losses to ohmic loss
+disp('case a');
+t=[(t2/t1)-1];
+th=-1/log(t); // heating time constant in hours
+theta=t1/(1-exp(-1/th));
+printf('Final steady temperature rise of the transformer on rated load is %f degree celsius\n',theta);
+disp('case b');
+f=1.2; //with increased heat dissipation ,ratio of new loss to old loss
+Pn=sqrt((f*(1+r))-r)*p;
+printf('New KVA rating of transformer is %f KVA\n',Pn);
+// for a temperature rise of 78 degree
+t3=78;
+f=(t3/theta)*f; // ratio of new loss to old loss
+Pn=sqrt((f*(1+r))-r)*p;
+printf('New KVA rating of transformer is %f KVA\n',Pn);
+