Correct Answer - Option 1 : 154 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.
\({E_g} = \frac{{ϕ ZNP}}{{60A}}\)
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 (rpm)
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
Calculation:
Given that,
Number poles P = 4
Conductors Z = 462
Speed N = 1000 rpm
The flux per pole (ϕ) = 0.02 Wb
As winding is wave type
Number of parallel paths A = 4
\(E_g = {(0.02)(462)(1000)(4) \over 60(4)}\) = 154 V