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 400/8. Find the pickup value of the current.
DSSSB AE - 2023,
Answer: C
The plug setting of an over current relay is a percentage of the rated secondary current of the current transformer. A CT with a ratio of 400/8 has a rated secondary current of 8 A.
\[ \begin{aligned} \text{Pick up current} \\ &= 12.5\% \times 8\ \text{A} = 0.125 \times 8 \\ &= 1\ \text{A} \end{aligned} \]
This is the current in the relay coil at which it picks up; the primary current that causes it is \(1 \times 50 = 50\) A, because the CT ratio is 50. The values 5 A, 2.5 A and 0.5 A do not match 12.5% of 8 A. The answer is 1 A, option C.
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