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+
+
+clc;
+n=1200; // number of turns in exciting coil
+a=6*5*10^-4; // area of cross section of core
+disp('case a');
+x=0.01; // displacement of coil
+i=2; // exciting current
+uo=4*%pi*10^-7; // free space permeability
+Wf=(n^2*uo*a*i^2)/(4*x);
+printf('Field energy stored is %f J\n',Wf);
+F=(-n^2*uo*a*i^2)/(4*x^2);
+printf('Force on armature is %f N\n',F);
+disp('case b');
+x1=0.005; // further displacement of coil
+v1=(n^2*uo*a*i)/(2*x); // flux linkage corresponding to displacement 1 cm
+v2=(n^2*uo*a*i)/(2*x1); // flux linkage corresponding to displacement 0.5 cm
+M=((v2-v1)*i)/2;
+printf('Mechanical energy output is %f J\n',M);
+disp('case c');
+// after deriving expression
+Wm=integrate('(-n^2*uo*a)/x^2','x',x,x1);
+printf('Mechanical work done is %f J\n',Wm);
+disp('case d');
+// for x=0.005 flux linkage is constant than current will change
+i2=v1/((2*n^2*uo*a)/(2*x));
+Wm=((i-i2)*v1)/2;
+printf('Mechanical work done if flux linkage are maintained constant is %f J\n',Wm);
+disp('case e');
+// after the expression is derived
+Wm=integrate('(-v1^2)/(n^2*uo*a)','x',x,x1);
+printf('Mechanical work done if flux linkage are maintained constant is %f J\n',Wm);