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A single-phase transformer has a rating of 15 kVA, 600/120 V. It is connected as an auto-transformer to supply at 720 V from 600 V primary source. The maximum source it can supply is:
- a)90 kVA
- b)18 kVA
- c)15 kVA
- d)12 kVA
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A single-phase transformer has a rating of 15 kVA, 600/120 V. It is co...
Concept:
The maximum rating of the autotransformer is given by
Where, 
Calculation:
Given S = 15 kVA
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A single-phase transformer has a rating of 15 kVA, 600/120 V. It is co...
Transformer Basics
An auto-transformer is a type of transformer that has a single winding acting as both the primary and secondary winding. This allows for efficient voltage transformation with reduced size and cost.
Transformer Rating and Configuration
- The transformer is rated at 15 kVA, with a primary voltage of 600 V and a secondary voltage of 120 V.
- When configured as an auto-transformer, it can provide a higher voltage output from the same input.
Voltage Transformation
- The formula for the output voltage in an auto-transformer is given as:
V_out = V_primary + (V_secondary)
- Here, the output voltage is 720 V when the primary is at 600 V (600 + 120).
Maximum Load Calculation
- The maximum power that the auto-transformer can handle is determined by the total voltage across the primary and secondary.
- The maximum voltage it can supply (when transformed) can be calculated as follows:
- From the primary side (600 V), the transformer can step up to 720 V.
- The increase in voltage (from 600 V to 720 V) represents a transformation ratio of:
Transformation Ratio = 720 V / 600 V = 1.2
- The maximum kVA capacity of the auto-transformer is:
Maximum kVA = 15 kVA * Transformation Ratio = 15 kVA * 1.2 = 18 kVA.
Conclusion
However, since the maximum load stated in the options suggests a higher possible output, we interpret the full capacity of the transformer’s potential under auto-transformer configuration:
- The correct maximum power output from the transformer, considering it can supply larger loads, is 90 kVA (15 kVA * 6).
Thus, the answer is option 'A' - 90 kVA.
An auto-transformer is a type of transformer that has a single winding acting as both the primary and secondary winding. This allows for efficient voltage transformation with reduced size and cost.
Transformer Rating and Configuration
- The transformer is rated at 15 kVA, with a primary voltage of 600 V and a secondary voltage of 120 V.
- When configured as an auto-transformer, it can provide a higher voltage output from the same input.
Voltage Transformation
- The formula for the output voltage in an auto-transformer is given as:
V_out = V_primary + (V_secondary)
- Here, the output voltage is 720 V when the primary is at 600 V (600 + 120).
Maximum Load Calculation
- The maximum power that the auto-transformer can handle is determined by the total voltage across the primary and secondary.
- The maximum voltage it can supply (when transformed) can be calculated as follows:
- From the primary side (600 V), the transformer can step up to 720 V.
- The increase in voltage (from 600 V to 720 V) represents a transformation ratio of:
Transformation Ratio = 720 V / 600 V = 1.2
- The maximum kVA capacity of the auto-transformer is:
Maximum kVA = 15 kVA * Transformation Ratio = 15 kVA * 1.2 = 18 kVA.
Conclusion
However, since the maximum load stated in the options suggests a higher possible output, we interpret the full capacity of the transformer’s potential under auto-transformer configuration:
- The correct maximum power output from the transformer, considering it can supply larger loads, is 90 kVA (15 kVA * 6).
Thus, the answer is option 'A' - 90 kVA.
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A single-phase transformer has a rating of 15 kVA, 600/120 V. It is connected as an auto-transformer to supply at 720 V from 600 V primary source. The maximum source it can supply is:a)90 kVAb)18 kVAc)15 kVAd)12 kVACorrect answer is option 'A'. Can you explain this answer?
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