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The rotor winding of a 6 pole, 3 phase, slip-ring induction motor receive a 3-phase, 50 Hz supply produced an air gap mmf rotating in the clock wise direction with respect to the rotor the rotor itself is being rotated in the anticlockwise direction at 400 rpm. Frequency of the voltages induced in the stator phases is _______ Hz
Correct answer is '30'. Can you explain this answer?
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Verified Answer
The rotor winding of a 6 pole, 3 phase, slip-ring induction motor rece...
Relating speed with respect to rotor = 1000
Speed with respect to stator = Nactual
Speed of rotor = Nr
1000 = Nactual – (-400)
Nactual = 600 R.P.M
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The rotor winding of a 6 pole, 3 phase, slip-ring induction motor rece...
Frequency of Induced Voltages in Stator Phases
To find the frequency of the voltages induced in the stator phases, we need to consider the relative speed between the rotor and the stator magnetic field. This can be done using the following formula:
f = (Ns - Nr) * p / 120
Where,
f = frequency of the induced voltages in stator phases (in Hz)
Ns = synchronous speed of the motor (in rpm)
Nr = rotor speed (in rpm)
p = number of poles
Synchronous Speed and Slip
Before we use the above formula, let's first find the synchronous speed of the motor. The synchronous speed (Ns) is given by the following formula:
Ns = 120 * f / p
Where,
f = supply frequency (in Hz)
p = number of poles
Substituting the given values, we get:
Ns = 120 * 50 / 6 = 1000 rpm
The rotor speed is given as 400 rpm. The slip (S) is defined as the difference between the synchronous speed and the rotor speed, divided by the synchronous speed. Mathematically,
S = (Ns - Nr) / Ns
Substituting the given values, we get:
S = (1000 - 400) / 1000 = 0.6
Calculating Frequency of Induced Voltages in Stator Phases
Now, we can use the formula for frequency of induced voltages in stator phases:
f = (Ns - Nr) * p / 120
Substituting the values for Ns, Nr, and p, we get:
f = (1000 - 400) * 6 / 120 = 30 Hz
Therefore, the frequency of the induced voltages in stator phases is 30 Hz.
To find the frequency of the voltages induced in the stator phases, we need to consider the relative speed between the rotor and the stator magnetic field. This can be done using the following formula:
f = (Ns - Nr) * p / 120
Where,
f = frequency of the induced voltages in stator phases (in Hz)
Ns = synchronous speed of the motor (in rpm)
Nr = rotor speed (in rpm)
p = number of poles
Synchronous Speed and Slip
Before we use the above formula, let's first find the synchronous speed of the motor. The synchronous speed (Ns) is given by the following formula:
Ns = 120 * f / p
Where,
f = supply frequency (in Hz)
p = number of poles
Substituting the given values, we get:
Ns = 120 * 50 / 6 = 1000 rpm
The rotor speed is given as 400 rpm. The slip (S) is defined as the difference between the synchronous speed and the rotor speed, divided by the synchronous speed. Mathematically,
S = (Ns - Nr) / Ns
Substituting the given values, we get:
S = (1000 - 400) / 1000 = 0.6
Calculating Frequency of Induced Voltages in Stator Phases
Now, we can use the formula for frequency of induced voltages in stator phases:
f = (Ns - Nr) * p / 120
Substituting the values for Ns, Nr, and p, we get:
f = (1000 - 400) * 6 / 120 = 30 Hz
Therefore, the frequency of the induced voltages in stator phases is 30 Hz.
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Community Answer
The rotor winding of a 6 pole, 3 phase, slip-ring induction motor rece...
Synchronous speed is 120 ×50/ 6 = 1000rpm
speed of rotor is in opposite direction so relative speed is 1000-(-400) = 1400
slip = 1000-(-400) / 1000 = 1.4
slip at reverse direction 2-S = 0.6
fs = slip freequency = freequency of rotor = 0.6× 50 = 30hz
speed of rotor is in opposite direction so relative speed is 1000-(-400) = 1400
slip = 1000-(-400) / 1000 = 1.4
slip at reverse direction 2-S = 0.6
fs = slip freequency = freequency of rotor = 0.6× 50 = 30hz
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The rotor winding of a 6 pole, 3 phase, slip-ring induction motor receive a 3-phase, 50 Hz supply produced an air gap mmf rotating in the clock wise direction with respect to the rotor the rotor itself is being rotated in the anticlockwise direction at 400 rpm. Frequency of the voltages induced in the stator phases is _______ HzCorrect answer is '30'. Can you explain this answer?
Question Description
The rotor winding of a 6 pole, 3 phase, slip-ring induction motor receive a 3-phase, 50 Hz supply produced an air gap mmf rotating in the clock wise direction with respect to the rotor the rotor itself is being rotated in the anticlockwise direction at 400 rpm. Frequency of the voltages induced in the stator phases is _______ HzCorrect answer is '30'. Can you explain this answer? 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 The rotor winding of a 6 pole, 3 phase, slip-ring induction motor receive a 3-phase, 50 Hz supply produced an air gap mmf rotating in the clock wise direction with respect to the rotor the rotor itself is being rotated in the anticlockwise direction at 400 rpm. Frequency of the voltages induced in the stator phases is _______ HzCorrect answer is '30'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The rotor winding of a 6 pole, 3 phase, slip-ring induction motor receive a 3-phase, 50 Hz supply produced an air gap mmf rotating in the clock wise direction with respect to the rotor the rotor itself is being rotated in the anticlockwise direction at 400 rpm. Frequency of the voltages induced in the stator phases is _______ HzCorrect answer is '30'. Can you explain this answer?.
The rotor winding of a 6 pole, 3 phase, slip-ring induction motor receive a 3-phase, 50 Hz supply produced an air gap mmf rotating in the clock wise direction with respect to the rotor the rotor itself is being rotated in the anticlockwise direction at 400 rpm. Frequency of the voltages induced in the stator phases is _______ HzCorrect answer is '30'. Can you explain this answer? 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 The rotor winding of a 6 pole, 3 phase, slip-ring induction motor receive a 3-phase, 50 Hz supply produced an air gap mmf rotating in the clock wise direction with respect to the rotor the rotor itself is being rotated in the anticlockwise direction at 400 rpm. Frequency of the voltages induced in the stator phases is _______ HzCorrect answer is '30'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The rotor winding of a 6 pole, 3 phase, slip-ring induction motor receive a 3-phase, 50 Hz supply produced an air gap mmf rotating in the clock wise direction with respect to the rotor the rotor itself is being rotated in the anticlockwise direction at 400 rpm. Frequency of the voltages induced in the stator phases is _______ HzCorrect answer is '30'. Can you explain this answer?.
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