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Two single phase transformers A and B are operating in parallel having different impedance and identical x/r ratio. Also impedance of A is more than that of B,then A
- a)shares lesser kVA
- b)share more kVA
- c)equal kVA as of B
- d)total kVA
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two single phase transformers A and B are operating in parallel having...
When two single-phase transformers operate in parallel with different impedances and identical x/r ratios, the transformer with the higher impedance will share less of the total load compared to the transformer with the lower impedance. This is because the current (and hence power) shared by each transformer is inversely proportional to its impedance.
Given that transformer A has more impedance than transformer B, transformer A will share less kVA of the load.
Therefore, the correct option is: shares lesser kVA
This question is part of UPSC exam. View all Electrical Engineering (EE) courses
Most Upvoted Answer
Two single phase transformers A and B are operating in parallel having...
Explanation:
**Parallel Operation of Transformers:**
When two or more transformers are connected in parallel, they share the load in proportion to their respective ratings. The total kVA of the parallel transformers is the sum of their individual kVA ratings.
**Impedance and x/r Ratio:**
The impedance of a transformer is a measure of its opposition to the flow of current. It consists of two components - resistance (R) and reactance (X). The x/r ratio is the ratio of reactance to resistance.
**Given Information:**
In this question, we are given that transformers A and B are operating in parallel. They have different impedances, and their x/r ratios are identical. Additionally, the impedance of A is greater than that of B.
**Analysis:**
When transformers are operating in parallel, they share the load in proportion to their ratings. The transformer with the lower impedance will have a higher current flow, resulting in a larger share of the load.
Since the x/r ratios of transformers A and B are identical, their reactance-to-resistance ratios are the same. This means that the current flowing through the transformers will be in the same proportion. However, the impedance of transformer A is greater than that of B.
**Explanation of the Correct Answer:**
Since transformer A has a higher impedance, it will have a higher voltage drop and a lower share of the load compared to transformer B. This means that transformer A will share lesser kVA compared to transformer B.
Hence, the correct answer is option 'A' - transformer A shares lesser kVA.
**Summary:**
In parallel operation, transformers share the load in proportion to their ratings. The transformer with the lower impedance will have a higher current flow and a larger share of the load. In this question, transformer A has a higher impedance than transformer B, resulting in a lower share of the load and lesser kVA.
**Parallel Operation of Transformers:**
When two or more transformers are connected in parallel, they share the load in proportion to their respective ratings. The total kVA of the parallel transformers is the sum of their individual kVA ratings.
**Impedance and x/r Ratio:**
The impedance of a transformer is a measure of its opposition to the flow of current. It consists of two components - resistance (R) and reactance (X). The x/r ratio is the ratio of reactance to resistance.
**Given Information:**
In this question, we are given that transformers A and B are operating in parallel. They have different impedances, and their x/r ratios are identical. Additionally, the impedance of A is greater than that of B.
**Analysis:**
When transformers are operating in parallel, they share the load in proportion to their ratings. The transformer with the lower impedance will have a higher current flow, resulting in a larger share of the load.
Since the x/r ratios of transformers A and B are identical, their reactance-to-resistance ratios are the same. This means that the current flowing through the transformers will be in the same proportion. However, the impedance of transformer A is greater than that of B.
**Explanation of the Correct Answer:**
Since transformer A has a higher impedance, it will have a higher voltage drop and a lower share of the load compared to transformer B. This means that transformer A will share lesser kVA compared to transformer B.
Hence, the correct answer is option 'A' - transformer A shares lesser kVA.
**Summary:**
In parallel operation, transformers share the load in proportion to their ratings. The transformer with the lower impedance will have a higher current flow and a larger share of the load. In this question, transformer A has a higher impedance than transformer B, resulting in a lower share of the load and lesser kVA.
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