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A 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7and 0.4% of the output. the percentage losses if the transformer be used on a 20000v, 50hz system, assuming the full load current to be same?
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A 10000v, 25hz transformer has copper, hysteresis and eddy current los...
Losses in a Transformer with Change in Voltage and Frequency
Losses in a transformer are dependent on the voltage and frequency of the input power. In this scenario, a 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7 and 0.4% of the output. We need to determine the percentage losses if the transformer is used on a 20000v, 50hz system, assuming the full load current to be the same.
Calculating the New Losses
To calculate the new losses, we need to understand the relationship between voltage, frequency, and losses. The hysteresis and eddy current losses are proportional to the square of the voltage and frequency, while the copper losses are proportional to the square of the current.
Therefore, the new losses can be calculated as follows:
Hysteresis and eddy current losses = (20000/10000)^2 x (50/25)^2 x 0.7 + 0.4 = 2.8%
Copper losses = (10000/20000)^2 x 1.5 = 0.375%
Total losses = 2.8% + 0.375% = 3.175%
Conclusion
In conclusion, the percentage losses of the transformer on a 20000v, 50hz system, assuming the full load current to be the same, are 3.175%. This is because the hysteresis and eddy current losses increase with the square of the voltage and frequency, while the copper losses decrease with the square of the voltage. It is important to consider these losses when designing and operating transformers to ensure efficient and reliable performance.
Losses in a transformer are dependent on the voltage and frequency of the input power. In this scenario, a 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7 and 0.4% of the output. We need to determine the percentage losses if the transformer is used on a 20000v, 50hz system, assuming the full load current to be the same.
Calculating the New Losses
To calculate the new losses, we need to understand the relationship between voltage, frequency, and losses. The hysteresis and eddy current losses are proportional to the square of the voltage and frequency, while the copper losses are proportional to the square of the current.
Therefore, the new losses can be calculated as follows:
Hysteresis and eddy current losses = (20000/10000)^2 x (50/25)^2 x 0.7 + 0.4 = 2.8%
Copper losses = (10000/20000)^2 x 1.5 = 0.375%
Total losses = 2.8% + 0.375% = 3.175%
Conclusion
In conclusion, the percentage losses of the transformer on a 20000v, 50hz system, assuming the full load current to be the same, are 3.175%. This is because the hysteresis and eddy current losses increase with the square of the voltage and frequency, while the copper losses decrease with the square of the voltage. It is important to consider these losses when designing and operating transformers to ensure efficient and reliable performance.
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A 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7and 0.4% of the output. the percentage losses if the transformer be used on a 20000v, 50hz system, assuming the full load current to be same?
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A 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7and 0.4% of the output. the percentage losses if the transformer be used on a 20000v, 50hz system, assuming the full load current to be same? 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 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7and 0.4% of the output. the percentage losses if the transformer be used on a 20000v, 50hz system, assuming the full load current to be same? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7and 0.4% of the output. the percentage losses if the transformer be used on a 20000v, 50hz system, assuming the full load current to be same?.
A 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7and 0.4% of the output. the percentage losses if the transformer be used on a 20000v, 50hz system, assuming the full load current to be same? 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 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7and 0.4% of the output. the percentage losses if the transformer be used on a 20000v, 50hz system, assuming the full load current to be same? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10000v, 25hz transformer has copper, hysteresis and eddy current losses of 1.5, 0.7and 0.4% of the output. the percentage losses if the transformer be used on a 20000v, 50hz system, assuming the full load current to be same?.
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