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An over-current relay, having a current setting of 12.5% is connected to a supply circuit through a current transformer with a ratio of 400/5. The pick-up value of the current in Amperes is:
  • a)
    0.625
  • b)
    10
  • c)
    12.5
  • d)
    15
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An over-current relay, having a current setting of 12.5% is connected ...
Concept:
The pick-up current of a relay is given by:
Pick-up current = Rated secondary current of CT × Current setting
Calculation:
Given, the CT ratio = 400/5
Secondary current = 5 A
Relay setting = 12.5%
Pick-up current = 5 × 0.125
Pick-up current = 0.625 A
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Most Upvoted Answer
An over-current relay, having a current setting of 12.5% is connected ...

Calculation of Pick-Up Value:

Current Transformer Ratio:
- The current transformer has a ratio of 400/5, which means that for every 400A in the primary circuit, there will be 5A in the secondary circuit.

Current Setting of Over-Current Relay:
- The current setting of the over-current relay is 12.5%, which means that the relay will pick up when the current exceeds 12.5% of its setting.

Calculating Pick-Up Value:
- The pick-up value of the current can be calculated by multiplying the current setting of the relay by the current transformer ratio.
- Pick-Up Value = (Current Setting / 100) * CT Ratio
- Pick-Up Value = (12.5 / 100) * 400/5
- Pick-Up Value = 0.125 * 80
- Pick-Up Value = 10A

Therefore, the pick-up value of the current in Amperes is 10A. Hence, option 'b) 10' is the correct answer.
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