Correct Answer - Option 4 :

\( \frac{{\phi ZNP}}{{120}} V\)
__Concept:__

EMF equation of a DC Generator:

As the armature rotates, a voltage is generated in its coils, which is called Generated EMF or Armature EMF, and is denoted by Eg.

\({E_g} = \frac{{\phi ZNP}}{{60A}}\)

Where,

Eg = Generated EMF

P = Number of poles of the machine

ϕ = flux per pole in weber

Z = total number of armature conductors

N = speed of armature in revolution per minute (r.p.m)

A = number of parallel paths in the armature winding

Also,

A = P ⋅ m

Where,

m = multiplexity (simplex/duplex)

In wave winding, multiplexity is always 2 (two)

Therefore, A = 2

While in lap winding, there are two types:

- Simplex Lap winding: m = 1

∴ A = P

- Duplex Lap winding: m = 2

∴ A = 2P

NOTE:

If multiplexity is not mentioned, then always take simplex lap winding i.e. m = 1

__Application:__

EMF generated per path in a simplex wave-wound DC generator

∴ A = 2, m = 1

∴ \(E_g = \frac{{\phi ZNP}}{{120}} V\)