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+clc
+//variable initialization
+Vm= 220 //armature voltage in volts
+N= 1000 //speed in rpm
+N1= 900 // speed in rpm
+Ia= 60 //armature current in ampere
+Ra= 0.6 //armature resistance in ohm
+a= 0
+V= 165 //line voltage in volts
+
+//solution
+Eb1= Vm-Ia*Ra //back emf in volts
+Eb2= (N1/N)*Eb1 //back emf in volts
+Ea=Eb2+(Ia*Ra) //armature voltage in volts
+Em= V*sqrt(2)
+A=(((Ea*%pi)/(3*Em)))
+a1=acosd(A)
+a2=180-a1
+Ea1=V-(Ia*Ra) //armature voltage in volts
+cosa1=((Ea/Em)*(%pi/3))
+a11=acosd((Ea1*%pi)/(3*Em))
+a22=180-a1
+printf('\n\n Firing Angle for motoring operations at rated motor torqu and 900 or -900 rpm=%0.1f \n\n',a1)
+printf('\n\n Firing Angle for motoring operations at rated motor torqu and 900 or -900 rpm=%0.1f \n\n',a2)
+printf('\n\n Firing Angle for braking operations at rated motor torqu and 900 or -900 rpm=%0.1f \n\n',a11)
+printf('\n\n Firing Angle for braking operations at rated motor torqu and 900 or -900 rpm=%0.1f \n\n',a22)
+//The answers vary due to round off error