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The stator of a 415V, 50 Hz, 4-pole slip ring Induction Motor is excited by rated frequency with slip rings open circuited. The rotor is made to rotate at a speed of 600 rpm in the opposite direction to the normal direction, The frequency of induced voltage across slip ring is


1. 30 Hz
2. 70 Hz
3. 20 Hz
4. 35 Hz

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Correct Answer - Option 2 : 70 Hz

Concept:

Synchronous speed:

\({N_s} = \frac{{120f}}{P} \)

Where

f = frequency

P = Number of poles

Relating speed with respect to rotor  = Nactual - Nr

The speed with respect to stator = Nactual

Speed of rotor = Nr

Calculation:

Given

f = 50 Hz

P = 4

Nr = 600 rpm (in opposite direction)

\({N_s} = \frac{{120f}}{P} \)

\({N_s} = \frac{{120f}}{P} = \frac{{120 \times 50}}{4} = 1500\;rpm\)

Relating speed with respect to rotor = 1500

1500 = Nactual - (-600)

Nactual = 2100 rpm

\({f_s} = 2100 \times \frac{4}{{120}} = 70Hz\)

fs = 70 Hz

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