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:
Step 2: Calculate initial reactive power ():
Step 3: Calculate target reactive power ():
Step 4: Calculate reactive power supplied by the capacitor bank ():
Step 5: Calculate line current of the capacitor bank ():
For a 3-phase capacitor bank, the total reactive power is given by:
Rounding off to one decimal place, the line current is .The official range for the answer is to .
- Line voltage (3-phase)
- Apparent power
- Initial power factor
- Target power factor
Step 2: Calculate initial reactive power ():
Step 3: Calculate target reactive power ():
Step 4: Calculate reactive power supplied by the capacitor bank ():
Step 5: Calculate line current of the capacitor bank ():
For a 3-phase capacitor bank, the total reactive power is given by:
Rounding off to one decimal place, the line current is .The official range for the answer is to .
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