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A properly shunted centre-zero galvanometer is connected in the rotor circuit of a 6-pole, 50 Hz would-rotor induction motor. If the galvanometer makes 90 complete oscillations in one minute, the speed of rotor would be
  • a)
    1000 rpm
  • b)
    740 rpm
  • c)
    880 rpm
  • d)
    970 rpm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A properly shunted centre-zero galvanometer is connected in the rotor ...
Rotor frequency,

∴ Slip, 
So, rotor speed,
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Most Upvoted Answer
A properly shunted centre-zero galvanometer is connected in the rotor ...
Given data:
Number of poles (P) = 6
Supply frequency (f) = 50 Hz
Number of oscillations per minute = 90

Calculations:
1. The synchronous speed of the motor is given by the formula:
Synchronous speed (Ns) = (120*f)/P

Substituting the given values, we get
Ns = (120*50)/6 = 1000 rpm

2. The number of oscillations made by the galvanometer in one revolution of the rotor is given by:
Number of oscillations per revolution = (2*number of poles)

Substituting the given values, we get
Number of oscillations per revolution = (2*6) = 12

3. The actual speed of the rotor can be calculated by multiplying the synchronous speed with the ratio of the number of oscillations made by the galvanometer to the number of oscillations per revolution.

Actual speed of rotor = (Number of oscillations per minute * synchronous speed)/(Number of oscillations per revolution * 60)

Substituting the given values, we get
Actual speed of rotor = (90 * 1000)/(12 * 60) = 970 rpm

Therefore, the speed of the rotor would be 970 rpm.
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A properly shunted centre-zero galvanometer is connected in the rotor circuit of a 6-pole, 50 Hz would-rotor induction motor. If the galvanometer makes 90 complete oscillations in one minute, the speed of rotor would bea)1000 rpmb)740 rpmc)880 rpmd)970 rpmCorrect answer is option 'D'. Can you explain this answer?
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