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Electrical Engineering · Q76

Polyphase Induction Motors

Engineering and GATE · Electrical Engineering · question 76

Q76

A 3-phase 440 V, 50 Hz induction motor has 4% slip. The frequency of rotor e.m.f. will be

A.
200 Hz
B.
50 Hz
C.
2 Hz
Answer
D.
0.2 Hz

Answer: Option C

Solution

Answer: Option C
Solution:
The slip in an induction motor is the difference between the synchronous speed and the actual rotor speed, expressed as a percentage of the synchronous speed. The frequency of the rotor emf is related to the slip and the supply frequency. For a 3-phase induction motor:

Supply Frequency (fs): 50 Hz
Slip (s): 4% or 0.04
The frequency of the rotor emf (fr) can be calculated using the formula:

fr = s × fs

Substituting the values:

fr = 0.04 × 50 Hz = 2 Hz

Therefore, the frequency of the rotor emf is 2 Hz.