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A two-winding transformer is used as an auto-transformer. The kVA rating of the auto-transformer compared to the twowinding transformer will be
- a)3 times
- b)2 times
- c)1.5 times
- d)same
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A two-winding transformer is used as an auto-transformer. The kVA rati...
Answer would depend upon the voltage ratio
and type of auto-transformeri.e.., set-up or step-down.
For step-up transformer
Where a < 1
Let, N1 = N2 (Ideal two winding transformer) For step-up transformer
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A two-winding transformer is used as an auto-transformer. The kVA rati...
Auto-Transformer
An auto-transformer is a type of transformer where a single winding is used as both the primary and secondary winding. It is used to step up or step down the voltage of an AC power supply. Auto-transformers are more efficient and cost-effective than two-winding transformers.
KVA rating of Auto-Transformer compared to Two-winding Transformer
The kVA rating of an auto-transformer compared to a two-winding transformer depends on the ratio of the number of turns in the primary winding to the number of turns in the secondary winding. The kVA rating of an auto-transformer is equal to the product of the current and the voltage in the winding.
In an auto-transformer, the voltage is stepped up or stepped down by a fraction of the total voltage across the winding. Therefore, the current in the winding is higher than in a two-winding transformer. As a result, the kVA rating of an auto-transformer is higher than that of a two-winding transformer.
The kVA rating of an auto-transformer compared to a two-winding transformer is given by the formula:
KVA rating of auto-transformer = (V1 x I1) / (V2 x I2)
KVA rating of two-winding transformer = V1 x I1 = V2 x I2
where V1 is the voltage on the primary winding, V2 is the voltage on the secondary winding, I1 is the current in the primary winding, and I2 is the current in the secondary winding.
Since the current in the winding of an auto-transformer is higher than in a two-winding transformer, the kVA rating of an auto-transformer is higher. The kVA rating of an auto-transformer is approximately two times the kVA rating of a two-winding transformer. Therefore, the correct answer is option B.
An auto-transformer is a type of transformer where a single winding is used as both the primary and secondary winding. It is used to step up or step down the voltage of an AC power supply. Auto-transformers are more efficient and cost-effective than two-winding transformers.
KVA rating of Auto-Transformer compared to Two-winding Transformer
The kVA rating of an auto-transformer compared to a two-winding transformer depends on the ratio of the number of turns in the primary winding to the number of turns in the secondary winding. The kVA rating of an auto-transformer is equal to the product of the current and the voltage in the winding.
In an auto-transformer, the voltage is stepped up or stepped down by a fraction of the total voltage across the winding. Therefore, the current in the winding is higher than in a two-winding transformer. As a result, the kVA rating of an auto-transformer is higher than that of a two-winding transformer.
The kVA rating of an auto-transformer compared to a two-winding transformer is given by the formula:
KVA rating of auto-transformer = (V1 x I1) / (V2 x I2)
KVA rating of two-winding transformer = V1 x I1 = V2 x I2
where V1 is the voltage on the primary winding, V2 is the voltage on the secondary winding, I1 is the current in the primary winding, and I2 is the current in the secondary winding.
Since the current in the winding of an auto-transformer is higher than in a two-winding transformer, the kVA rating of an auto-transformer is higher. The kVA rating of an auto-transformer is approximately two times the kVA rating of a two-winding transformer. Therefore, the correct answer is option B.
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