Electro Magnetic Induction And Alternating Currents Question 237

Question: An electric motor operating on a 60 V dc supply draws a current of 10 A. If the efficiency of the motor is 50%, the resistance of its winding is [AMU (Engg.) 2001]

Options:

A) $ 3\Omega $

B) $ 6\Omega $

C) $ 15\Omega $

D) $ 30\Omega $

Show Answer

Answer:

Correct Answer: A

Solution:

Efficiency $ \eta =50%\ $ So $ e=E/2 $

and $ i=\frac{E-e}{R}\Rightarrow i=\frac{E-E/2}{R}=\frac{E}{2R} $

$ \Rightarrow R=\frac{E}{2i}=\frac{60}{2\times 10}=3\Omega $



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