# What is the EMF generated per path in a simplex wave-wound DC generator?

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What is the EMF generated per path in a simplex wave-wound DC generator?
1. $\frac{{\phi ZN}}{{60P}} V$
2. $\frac{{\phi ZNP}}{{60}} V$
3. $\frac{{\phi ZN}}{{120P}} V$
4. $\frac{{\phi ZNP}}{{120}} V$

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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:

1. Simplex Lap winding: m = 1

∴ A = P

1. 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

∴ $E_g = \frac{{\phi ZNP}}{{120}} V$