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Question 31452
JEE Physics · Hard

Electrostatics: Potential Energy MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Potential EnergyHardQuestion 31452

Question

Work done to assemble 4 charges +q each at corners of square (side L) is:
  1. A
    4kq²/L
  2. B
    (4+√2)kq²/L
    Correct
  3. C
    (4+2√2)kq²/L
  4. D
    6kq²/L

Correct answer

(4+√2)kq²/L

Explanation

6 pairs: 4 pairs at distance L (sides), 2 pairs at distance L√2 (diagonals). U = 4kq²/L + 2kq²/(L√2) = kq²(4 + √2)/L.

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