Correct Answer - Option 4 : 57.6 kW

Given that, the machine is lap wounded and has 4-poles

No. of conductors, Z = 720

Air gap flux = 32 × 10^{-3} wb/pole

Generator run from a prime mover

Speed N = 1500 rpm

Supplies a current (I) = 100 A

Now, generated emf at DC generator-

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

As the machine is lap wound, number of parallel paths, A = P = 4

\(\Rightarrow Eg = \frac{{32\; \times \;{{10}^{ - 3}}\; \times \;720\; \times \;1500\; \times \;4}}{{60\; \times\; 4}}\)

Eg = 576 V

Now, electromagnetic power developed-

P = E_{g}.I_{a}

= 576 × 100

⇒ P = 57.6 kW