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A transformer designed for operation of 60 Hz supply is working on 50 Hz supply system without changing its voltage and current ratings. When compared with full-load efficiency at 60 Hz, the transformer efficiency on full load at 50 Hz will

  • a)
    increase by a factor of 1.2

  • b)
    decrease marginally

  • c)
    remain unaltered

  • d)
    increase marginally

Correct answer is option 'D'. Can you explain this answer?
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Effect of Frequency on Transformer Efficiency

When a transformer designed for operation on a 60 Hz supply is operated on a 50 Hz supply system without changing its voltage and current ratings, the following effects can be observed:

1. Flux density:

- As the frequency decreases, the magnetic flux density in the core increases because the magnetic flux is directly proportional to the frequency.
- This increased flux density can cause increased core losses in the transformer, which can reduce its efficiency.

2. Eddy current losses:

- Eddy currents are induced in the core due to the changing magnetic field.
- At a lower frequency, these eddy currents are larger because the magnetic field is changing more slowly.
- This can cause increased eddy current losses in the transformer, which can reduce its efficiency.

3. Copper losses:

- The resistance of the transformer windings remains the same regardless of the frequency.
- However, the current flowing through the windings changes with the frequency.
- At a lower frequency, the current is higher for the same power transfer, which can cause increased copper losses in the transformer, which can reduce its efficiency.

Effect on Transformer Efficiency

The efficiency of a transformer is given by the ratio of output power to input power. Therefore, any changes in the losses will affect the efficiency of the transformer.

When a transformer designed for operation on a 60 Hz supply is operated on a 50 Hz supply system without changing its voltage and current ratings, the efficiency of the transformer will decrease marginally.

This is because:

- The increased flux density can cause increased core losses in the transformer, which can reduce its efficiency.
- The increased eddy current losses can also reduce the efficiency of the transformer.
- The increased copper losses can further reduce the efficiency of the transformer.

Therefore, the transformer efficiency on full load at 50 Hz will be lower than its efficiency at 60 Hz.
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Community Answer
A transformer designed for operation of 60 Hz supply is working on 50 ...
As designed for 60hz
operating at 50hz only (v/f) increases flux increases
so iron losses increases(prop to B) and even (decreases some what die to f decreases )

so finally losses at 50hz more than 60hz
so efficiency decrease in marginal amount
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A transformer designed for operation of 60 Hz supply is working on 50 Hz supply system without changing its voltage and current ratings. When compared with full-load efficiency at 60 Hz, the transformer efficiency on full load at 50 Hz willa)increase by a factor of 1.2b)decrease marginallyc)remain unalteredd)increase marginallyCorrect answer is option 'D'. Can you explain this answer?
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