A 400 V, 50 Hz, three-phase induction motor runs at a slip of 0.06 when it is driving a constant load torque. With what slip will it run driving the same load if the voltage applied is reduced to 200 V, neglecting stator resistance and the equivalent reactance of the motor?

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MPPGCL JE Electrical 28 April 2023 Shift 3 Official Paper
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  1. 0.18
  2. 0.12
  3. 0.03
  4. 0.24

Answer (Detailed Solution Below)

Option 4 : 0.24
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Detailed Solution

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Concept

For a constant load torque, the slip varies inversely with the square of the voltage.

s α V

\({s_2\over s_1}=({V_1\over V_2})^2\)

Calculation

Given, s1 = 0.06

V1 = 400 V

V2 = 200 V

\({s_2\over 0.06}=({400\over 200})^2\)

s2 = 0.06 × 4

s2 = 0.24

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