We shall now derive an expression for the e.m.f. generated in a d.c. generator.
Let Ø= flux/pole in Wb
Z = total number of armature conductors
P = number of poles
A = number of parallel paths = 2 ... for wave winding
= P ... for lap winding
N = speed of armature in r.p.m.
Eg = e.m.f. of the generator = e.m.f./parallel path
Flux cut by one conductor in one revolution of the armature,
dØ = PØ webers
Time taken to complete one revolution,
dt = 60/N second
e.m.f generated/conductor = dØ/dt=PØ/{60/N}=PØN/60
e.m.f. equation of generator
Eg = e.m.f. per parallel path= (e.m.f/conductor) ´ No. of conductors in series per parallel path.
Eg=PØN/60*(Z/A)
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