Electrostatics Question 497

Question: A square of side a has charge Q at its centre and charge -q at one of the corners. The work required to be done in moving the charge -q from the corner to the diagonally opposite corner is [UPSEAT 2004]

Options:

A) Zero

B) $ \frac{Qq}{4\pi {\in _{0}}a} $

C) $ \frac{Qq\sqrt{2}}{4\pi {\in _{0}}a} $

D) $ \frac{Qq}{2\pi {\in _{0}}a} $

Show Answer

Answer:

Correct Answer: A

Solution:

From symmetry the all corner have same electric potential. Therefore work done in moving the charge q from the corner to the diagonally opposite corner is zero.



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