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A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) the speed of the motors ( b ) frequency of the roter emf of the rolar has a resistance of 1ohm & stand still reactance of 4ohm. Calculate the P.F (i) at stand still (ii) at speed of 1400 RMP?
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A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) t...
(a) The synchronous speed of a 4 pole motor with 50Hz supply is given by:
Ns = 120f/P
where Ns is the synchronous speed in RPM, f is the frequency in Hz and P is the number of poles.
Substituting the given values, we get:
Ns = 120 x 50/4 = 1500 RPM
The actual speed of the motor is given by:
N = (1 - s)Ns
where N is the actual speed in RPM and s is the slip as a fraction.
Substituting the given values, we get:
N = (1 - 0.04) x 1500 = 1440 RPM
Therefore, the speed of the motor is 1440 RPM.
(b) The frequency of the rotor emf is given by:
fr = (s/1 - s) x f
where fr is the rotor frequency in Hz, s is the slip as a fraction and f is the supply frequency in Hz.
Substituting the given values, we get:
fr = (0.04/1 - 0.04) x 50 = 2.08 Hz
The rotor has a resistance of 1 ohm, so the magnitude of the rotor current is given by:
I2 = Er/R2
where Er is the magnitude of the rotor emf and R2 is the rotor resistance.
Substituting the given values, we get:
I2 = 2.08/1 = 2.08 A
Therefore, the frequency of the rotor emf is 2.08 Hz and the magnitude of the rotor current is 2.08 A.
Ns = 120f/P
where Ns is the synchronous speed in RPM, f is the frequency in Hz and P is the number of poles.
Substituting the given values, we get:
Ns = 120 x 50/4 = 1500 RPM
The actual speed of the motor is given by:
N = (1 - s)Ns
where N is the actual speed in RPM and s is the slip as a fraction.
Substituting the given values, we get:
N = (1 - 0.04) x 1500 = 1440 RPM
Therefore, the speed of the motor is 1440 RPM.
(b) The frequency of the rotor emf is given by:
fr = (s/1 - s) x f
where fr is the rotor frequency in Hz, s is the slip as a fraction and f is the supply frequency in Hz.
Substituting the given values, we get:
fr = (0.04/1 - 0.04) x 50 = 2.08 Hz
The rotor has a resistance of 1 ohm, so the magnitude of the rotor current is given by:
I2 = Er/R2
where Er is the magnitude of the rotor emf and R2 is the rotor resistance.
Substituting the given values, we get:
I2 = 2.08/1 = 2.08 A
Therefore, the frequency of the rotor emf is 2.08 Hz and the magnitude of the rotor current is 2.08 A.
Community Answer
A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) t...
A 3- ph, 50 Hz, 4 pole, induction motor operated at a slip of 4%, calculate:
(i) Speed of motor (ii) Frequency of rotor emf.
If the rotor has resistance of 1 ohm and standstill reactance of 4 ohms per phase,
calculate rotor power factor at: (i) Stand still (ii) At a speed of 1440 r.p.m.
(i) Speed of motor (ii) Frequency of rotor emf.
If the rotor has resistance of 1 ohm and standstill reactance of 4 ohms per phase,
calculate rotor power factor at: (i) Stand still (ii) At a speed of 1440 r.p.m.
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A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) the speed of the motors ( b ) frequency of the roter emf of the rolar has a resistance of 1ohm & stand still reactance of 4ohm. Calculate the P.F (i) at stand still (ii) at speed of 1400 RMP?
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A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) the speed of the motors ( b ) frequency of the roter emf of the rolar has a resistance of 1ohm & stand still reactance of 4ohm. Calculate the P.F (i) at stand still (ii) at speed of 1400 RMP? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) the speed of the motors ( b ) frequency of the roter emf of the rolar has a resistance of 1ohm & stand still reactance of 4ohm. Calculate the P.F (i) at stand still (ii) at speed of 1400 RMP? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) the speed of the motors ( b ) frequency of the roter emf of the rolar has a resistance of 1ohm & stand still reactance of 4ohm. Calculate the P.F (i) at stand still (ii) at speed of 1400 RMP?.
A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) the speed of the motors ( b ) frequency of the roter emf of the rolar has a resistance of 1ohm & stand still reactance of 4ohm. Calculate the P.F (i) at stand still (ii) at speed of 1400 RMP? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) the speed of the motors ( b ) frequency of the roter emf of the rolar has a resistance of 1ohm & stand still reactance of 4ohm. Calculate the P.F (i) at stand still (ii) at speed of 1400 RMP? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3 phase 50Hz 4 pole induction motor has a slip of 4% calculate (a) the speed of the motors ( b ) frequency of the roter emf of the rolar has a resistance of 1ohm & stand still reactance of 4ohm. Calculate the P.F (i) at stand still (ii) at speed of 1400 RMP?.
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