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A 440 V 50 Hz 6 pole induction motor has speed of 950 rpm then slip of motor is
A) 1%
B) 5%
C) 3%
D) 10%
5%
The correct answer is Option B (5%). The synchronous speed NsтАЛ for a 6-pole, 50 Hz induction motor is calculated as 1000 rpm. The fractional slip s is the ratio of the difference between synchronous speed and rotor speed to the synchronous speed, which equals 0.05 or 5%.
The correct answer is Option B (5%). The synchronous speed NsтАЛ for a 6-pole, 50 Hz induction motor is calculated as 1000 rpm. The fractional slip s is the ratio of the difference between synchronous speed and rotor speed to the synchronous speed, which equals 0.05 or 5%.
NsтАЛ=P120fтАЛ тАФ Synchronous speed in rpm
s=NsтАЛNsтАЛтИТNтАЛ тАФ Fractional slip of induction motor
%s=(NsтАЛNsтАЛтИТNтАЛ)├Ч100% тАФ Percentage slip
N=NsтАЛ(1тИТs) тАФ Rotor mechanical speed
In a polyphase induction motor, the stator winding produces a rotating magnetic field that turns at synchronous speed NsтАЛ. The rotor rotates at a slightly lower speed N to continuously cut the stator magnetic lines of force, inducing electromotive force and current in the rotor conductors. The relative speed difference between NsтАЛ and N normalized by NsтАЛ is called the slip.
Synchronous speed (NsтАЛ) depends directly on supply frequency (f) and inversely on the number of stator poles (P).
Slip at full load for standard industrial induction motors typically ranges from 2% to 5%.
At standstill condition (N=0), the slip value s=1 or 100%.
Frequency of rotor currents is given by frтАЛ=sтЛЕf, which equals 2.5┬аHz in this case.
Simple calculation method based directly on motor shaft speed and supply parameters.
Slip value directly indicates rotor electrical frequency and rotor copper losses.
Higher slip values lead to lower efficiency due to higher rotor I2R losses.
Calculations assume ideal line frequency without supply harmonic deviations.
Determining motor load condition and torque production in industrial drives.
Calculating rotor parameters such as rotor frequency (frтАЛ), rotor induced EMF (E2rтАЛ), and rotor reactance (X2rтАЛ).
Option A (1%) is incorrect because it would correspond to a rotor speed of 990┬аrpm.
Option C (3%) is incorrect because it corresponds to a rotor speed of 970┬аrpm.
Option D (10%) is incorrect as it corresponds to a rotor speed of 900┬аrpm.
B is correct тАФ Synchronous speed NsтАЛ=6120├Ч50тАЛ=1000┬аrpm, giving a percentage slip s=10001000тИТ950тАЛ├Ч100%=5%.
Remember that slip s connects mechanical speed to rotor electrical quantities: rotor frequency frтАЛ=sf, induced EMF ErтАЛ=sE2тАЛ, and rotor copper loss PcuтАЛ=sPgтАЛ.