First slide

Magnetic flux and induced emf

Question

An electric motor operates on a 50 volt supply and a current of 12A. If the efficiency of the motor is 30%, what is the resistance of the winding of the motor?

Moderate

A

$6 Ω$
B

$4 Ω$
C

$2.9 Ω$
D

$3.1 Ω$

Solution

$η = \frac{e}{E} \times 100 \Rightarrow e = 0 .3 E$
$Now, i = \frac{E - e}{R} \Rightarrow 12 = \frac{50 - (0 .3 \times 50)}{R} \Rightarrow R = 2 .9 Ω$

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