GATE EE 2025 Set 1 — Question 63
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Electric Circuits → AC Power & Three-Phase → Power Factor & Correction
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Question
Using shunt capacitors, the power factor of a 3-phase, induction motor (drawing at ) is to be corrected to . The line current of the capacitor bank, in , is ____________ (round off to one decimal place).
Correct answer
8.5 to 10
Solution
Given: 3-phase, , motor load at lagging, corrected to lagging.Step 1 - active power (unchanged by the capacitors).Step 2 - reactive power before correction.Step 3 - reactive power after correction.Step 4 - capacitor rating.Step 5 - capacitor line current. For a 3-phase bank, , soAnswer: A (approximately)
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