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A 1 kVA, 400 Hz transformer is desired to be used at a frequency of 60 Hz. The kVA rating of the transformer at this reduced frequency is
- a)82.5 VA
- b)550 VA
- c)150 VA
- d)500 VA
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A 1 kVA, 400 Hz transformer is desired to be used at a frequency of 60...
kVA rating of transformer,
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Since V ∝ f, therefore, S ∝ f
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Since V ∝ f, therefore, S ∝ f
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Most Upvoted Answer
A 1 kVA, 400 Hz transformer is desired to be used at a frequency of 60...
Solution:
Step 1: Finding the turns ratio of the transformer
As we know that the voltage per turn is directly proportional to the frequency. So, we can write:
V/f = constant
where V is the voltage and f is the frequency.
Now, let's consider the voltage rating of the transformer for 400 Hz operation.
V1/f1 = V2/f2
where V1 is the voltage rating at 400 Hz, f1 is the frequency of operation at 400 Hz, V2 is the voltage rating at 60 Hz, and f2 is the frequency of operation at 60 Hz.
Putting the values, we get:
V1/400 = V2/60
V1/V2 = 6.67
So, the turns ratio of the transformer is 6.67:1.
Step 2: Finding the kVA rating of the transformer at 60 Hz
We know that the kVA rating of a transformer is given by:
kVA = (V x I)/1000
where V is the voltage rating and I is the current rating.
Since the turns ratio of the transformer is 6.67:1, the voltage rating at 60 Hz will be:
V2 = V1/6.67
Substituting this value in the above equation, we get:
kVA = [(V1/6.67) x I]/1000
Since the transformer is rated for 1 kVA at 400 Hz, we can write:
1 = (V1 x I)/1000
Solving for I, we get:
I = 1000/V1
Substituting this value in the equation for kVA, we get:
kVA = [(V1/6.67) x (1000/V1)]/1000
kVA = 150 VA
Step 3: Conclusion
Hence, the kVA rating of the transformer at 60 Hz is 150 VA. Therefore, option C is the correct answer.
Step 1: Finding the turns ratio of the transformer
As we know that the voltage per turn is directly proportional to the frequency. So, we can write:
V/f = constant
where V is the voltage and f is the frequency.
Now, let's consider the voltage rating of the transformer for 400 Hz operation.
V1/f1 = V2/f2
where V1 is the voltage rating at 400 Hz, f1 is the frequency of operation at 400 Hz, V2 is the voltage rating at 60 Hz, and f2 is the frequency of operation at 60 Hz.
Putting the values, we get:
V1/400 = V2/60
V1/V2 = 6.67
So, the turns ratio of the transformer is 6.67:1.
Step 2: Finding the kVA rating of the transformer at 60 Hz
We know that the kVA rating of a transformer is given by:
kVA = (V x I)/1000
where V is the voltage rating and I is the current rating.
Since the turns ratio of the transformer is 6.67:1, the voltage rating at 60 Hz will be:
V2 = V1/6.67
Substituting this value in the above equation, we get:
kVA = [(V1/6.67) x I]/1000
Since the transformer is rated for 1 kVA at 400 Hz, we can write:
1 = (V1 x I)/1000
Solving for I, we get:
I = 1000/V1
Substituting this value in the equation for kVA, we get:
kVA = [(V1/6.67) x (1000/V1)]/1000
kVA = 150 VA
Step 3: Conclusion
Hence, the kVA rating of the transformer at 60 Hz is 150 VA. Therefore, option C is the correct answer.
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A 1 kVA, 400 Hz transformer is desired to be used at a frequency of 60 Hz. The kVA rating of the transformer at this reduced frequency isa)82.5 VA b)550 VAc)150 VA d)500 VACorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 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 1 kVA, 400 Hz transformer is desired to be used at a frequency of 60 Hz. The kVA rating of the transformer at this reduced frequency isa)82.5 VA b)550 VAc)150 VA d)500 VACorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1 kVA, 400 Hz transformer is desired to be used at a frequency of 60 Hz. The kVA rating of the transformer at this reduced frequency isa)82.5 VA b)550 VAc)150 VA d)500 VACorrect answer is option 'C'. Can you explain this answer?.
A 1 kVA, 400 Hz transformer is desired to be used at a frequency of 60 Hz. The kVA rating of the transformer at this reduced frequency isa)82.5 VA b)550 VAc)150 VA d)500 VACorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 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 1 kVA, 400 Hz transformer is desired to be used at a frequency of 60 Hz. The kVA rating of the transformer at this reduced frequency isa)82.5 VA b)550 VAc)150 VA d)500 VACorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1 kVA, 400 Hz transformer is desired to be used at a frequency of 60 Hz. The kVA rating of the transformer at this reduced frequency isa)82.5 VA b)550 VAc)150 VA d)500 VACorrect answer is option 'C'. Can you explain this answer?.
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