Let P = Numbers
of poles

Ф = Flux / pole in weber

Z = Total numbers of armature conductors

A = Number of armature parallel path

N = Armature Speed in RPM

When a
conductor rotates one revolution, it cuts flux of PФ webers.

Time required
for one revolution = 60 / N second

Hence according
to Faraday's law of electromagnetic induction.

Induced emf / conductor
= Flux cuts by a conductor / Time for one revolution

= PF
/ 60N

= PFN
/ 60

Numbers of
series conductor in one path = Z / A

Induced emf ( E
) = PFN
/ 60 ( Z / A )

Where A = 2 Wave Winding

A = P Lap Winding

If angular velocity
ω in radian / second, the induced emf is

E = 1 / 2π (
2πN / 60 ) PF
( Z / A )

=
ωPF
/ 2π ( Z / A ) ( where ω = 2πN / 60 )

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