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## 14/09/2017

### EMF Equation of the DC Generator

Let P = Numbers of poles
Ф = Flux / pole in weber
Z = Total numbers of armature conductors
= Numbers of slots × Numbers of Conductors / Slot
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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