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A 2 pole, 50 Hz single phase induction motor running at 2600 rpm has an effective rotor resistance and reactance each of 0.5 Ω. The stator impedance and magnetizing current are to be neglected. The frequencies of rotor current in forward branch and in backward branch are to be respectively
  • a)
    16.67 Hz, 103.33 Hz
  • b)
    6.67 Hz, 93.33 Hz
  • c)
    93.33 Hz, 6.67 Hz
  • d)
    103.33 Hz, 16.67 Hz
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A 2 pole, 50 Hz single phase induction motor running at 2600 rpm has a...
Synchronous speed, 

Frequency of forward component 
Frequency of backward component 
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A 2 pole, 50 Hz single phase induction motor running at 2600 rpm has a...
To calculate the rotor resistance and reactance, we need to use the following formulas:

Rotor resistance (Rr) = (Stator resistance / Stator impedance) * Rotor impedance
Rotor reactance (Xr) = (Stator reactance / Stator impedance) * Rotor impedance

Given:
Number of poles (P) = 2
Frequency (f) = 50 Hz
Rotor speed (N) = 2600 rpm
Rotor resistance (Rr) = 0.5 Ω
Rotor reactance (Xr) = 0.5 Ω

We can calculate the stator impedance (Zs) using the formula:
Zs = V / I
where V is the stator voltage and I is the stator current.

Since the stator voltage and current are not given in the problem, we cannot calculate the exact values of Rr and Xr. However, we can provide the general approach to calculate them.

1. Find the synchronous speed (Ns) of the motor using the formula:
Ns = (120 * f) / P
where f is the frequency and P is the number of poles.

2. Find the slip (S) of the motor using the formula:
S = (Ns - N) / Ns
where N is the rotor speed.

3. Calculate the stator impedance (Zs) using the formula:
Zs = V / I

4. Calculate the rotor impedance (Zr) using the formula:
Zr = Zs / (1 - S)

5. Calculate the rotor resistance (Rr) using the formula:
Rr = (Stator resistance / Stator impedance) * Rotor impedance

6. Calculate the rotor reactance (Xr) using the formula:
Xr = (Stator reactance / Stator impedance) * Rotor impedance

Please provide the stator voltage and current values to get the exact values of Rr and Xr.
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A 2 pole, 50 Hz single phase induction motor running at 2600 rpm has an effective rotor resistance and reactance each of 0.5 Ω. The stator impedance and magnetizing current are to be neglected. The frequencies of rotor current in forward branch and in backward branch are to be respectivelya)16.67 Hz, 103.33 Hzb)6.67 Hz, 93.33 Hzc)93.33 Hz, 6.67 Hzd)103.33 Hz, 16.67 HzCorrect answer is option 'B'. Can you explain this answer?
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A 2 pole, 50 Hz single phase induction motor running at 2600 rpm has an effective rotor resistance and reactance each of 0.5 Ω. The stator impedance and magnetizing current are to be neglected. The frequencies of rotor current in forward branch and in backward branch are to be respectivelya)16.67 Hz, 103.33 Hzb)6.67 Hz, 93.33 Hzc)93.33 Hz, 6.67 Hzd)103.33 Hz, 16.67 HzCorrect answer is option 'B'. 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 A 2 pole, 50 Hz single phase induction motor running at 2600 rpm has an effective rotor resistance and reactance each of 0.5 Ω. The stator impedance and magnetizing current are to be neglected. The frequencies of rotor current in forward branch and in backward branch are to be respectivelya)16.67 Hz, 103.33 Hzb)6.67 Hz, 93.33 Hzc)93.33 Hz, 6.67 Hzd)103.33 Hz, 16.67 HzCorrect answer is option 'B'. 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 A 2 pole, 50 Hz single phase induction motor running at 2600 rpm has an effective rotor resistance and reactance each of 0.5 Ω. The stator impedance and magnetizing current are to be neglected. The frequencies of rotor current in forward branch and in backward branch are to be respectivelya)16.67 Hz, 103.33 Hzb)6.67 Hz, 93.33 Hzc)93.33 Hz, 6.67 Hzd)103.33 Hz, 16.67 HzCorrect answer is option 'B'. Can you explain this answer?.
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