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A Transformer is rated at 100 KVA. At full load its copper loss is 1200 W and its iron loss is 850 W. Calculate the load (in KVA) at which maximum efficiency will occur.
Correct answer is between '84,85'. Can you explain this answer?
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A Transformer is rated at 100 KVA. At full load its copper loss is 120...
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A Transformer is rated at 100 KVA. At full load its copper loss is 120...
Given data:
Transformer rating = 100 KVA
Copper loss at full load = 1200 W
Iron loss at full load = 850 W
Efficiency of transformer:
Efficiency = Output power / Input power
Output power = Input power - losses
Input power = Output power + losses
Input power = Output power + copper loss + iron loss
Output power = Input power - copper loss - iron loss
Efficiency = (Input power - copper loss - iron loss) / Input power
Efficiency = 1 - (copper loss + iron loss) / Input power
At maximum efficiency, copper loss = iron loss
Let the load at which maximum efficiency occurs be x KVA
At x KVA, copper loss = iron loss
0.02x^2 = 850
x^2 = 42500
x = 206.2 KVA
But, transformer rating is 100 KVA, hence maximum efficiency will occur at full load.
Therefore, load at which maximum efficiency will occur = 100 KVA
Efficiency at full load:
Efficiency = (Input power - copper loss - iron loss) / Input power
Efficiency = (100000 - 1200 - 850) / 100000
Efficiency = 0.9875
Efficiency in percentage = 98.75%
Therefore, maximum efficiency of the transformer will occur at full load (100 KVA) and it will be 98.75%.
Transformer rating = 100 KVA
Copper loss at full load = 1200 W
Iron loss at full load = 850 W
Efficiency of transformer:
Efficiency = Output power / Input power
Output power = Input power - losses
Input power = Output power + losses
Input power = Output power + copper loss + iron loss
Output power = Input power - copper loss - iron loss
Efficiency = (Input power - copper loss - iron loss) / Input power
Efficiency = 1 - (copper loss + iron loss) / Input power
At maximum efficiency, copper loss = iron loss
Let the load at which maximum efficiency occurs be x KVA
At x KVA, copper loss = iron loss
0.02x^2 = 850
x^2 = 42500
x = 206.2 KVA
But, transformer rating is 100 KVA, hence maximum efficiency will occur at full load.
Therefore, load at which maximum efficiency will occur = 100 KVA
Efficiency at full load:
Efficiency = (Input power - copper loss - iron loss) / Input power
Efficiency = (100000 - 1200 - 850) / 100000
Efficiency = 0.9875
Efficiency in percentage = 98.75%
Therefore, maximum efficiency of the transformer will occur at full load (100 KVA) and it will be 98.75%.
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A Transformer is rated at 100 KVA. At full load its copper loss is 120...
A single phase transformer is rated at
100kVA at full load its copper losses are
1200 watt and iron losses are 960 watt.
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A Transformer is rated at 100 KVA. At full load its copper loss is 1200 W and its iron loss is 850 W. Calculate the load (in KVA) at which maximum efficiency will occur.Correct answer is between '84,85'. Can you explain this answer?
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A Transformer is rated at 100 KVA. At full load its copper loss is 1200 W and its iron loss is 850 W. Calculate the load (in KVA) at which maximum efficiency will occur.Correct answer is between '84,85'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A Transformer is rated at 100 KVA. At full load its copper loss is 1200 W and its iron loss is 850 W. Calculate the load (in KVA) at which maximum efficiency will occur.Correct answer is between '84,85'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Transformer is rated at 100 KVA. At full load its copper loss is 1200 W and its iron loss is 850 W. Calculate the load (in KVA) at which maximum efficiency will occur.Correct answer is between '84,85'. Can you explain this answer?.
A Transformer is rated at 100 KVA. At full load its copper loss is 1200 W and its iron loss is 850 W. Calculate the load (in KVA) at which maximum efficiency will occur.Correct answer is between '84,85'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A Transformer is rated at 100 KVA. At full load its copper loss is 1200 W and its iron loss is 850 W. Calculate the load (in KVA) at which maximum efficiency will occur.Correct answer is between '84,85'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Transformer is rated at 100 KVA. At full load its copper loss is 1200 W and its iron loss is 850 W. Calculate the load (in KVA) at which maximum efficiency will occur.Correct answer is between '84,85'. Can you explain this answer?.
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