Let φ =flux/pole in weber.

Z=total number of armature conductors = No. of slots * No.of conductors/slot.

P = No. of poles.

A = No. of parallel paths in armature.

N = armature rotation in rpm.

E = EMF induced in any parallel path in armature.

Generated EMF = e.m.f. generated in one of the parallel paths.

Average EMF generated/conductor = (dφ/dt) volt.

Now, flux cut/conductor in one revolution, dφ = (φ*P) web.

Number of revolution per second = N/60;

Then, time for one revolution, dt = 60/N second.

Hence according to Faraday's laws of electromagnetic induction,

EMF generated/conductor= (dφ/dt) = (φZPN/120) Volt.

#### For a wave-wound generator

No. of parallel paths is 2

#### For a lap-wound generator

No. of parallel paths = P

No. of conductors (in series) in one path = Z/P

Then, EMF generated/path = [(φPN/60)*(Z/P)] = (φZN/60) Volt.

In general, generated EMF = [(φPN/60)*(Z/A)]= (φZPN/60A) Volt

Where A=2 for wave-winding.

A= P for lap-winding.

very well written information on E.M.F. Equation of D.C. Generator thank you sir

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