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Six charges +q,-q,+q,-q,+q and -q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge q₀ to the centre of the hexagon from infinity is ( ₀- . permittivity of free space):

Options

  1. AZero
  2. B-q^2 4 ₀ d
  3. C-q^2 4 ₀ d (3- 1 2 )
  4. D-q^2 4 ₀ d (6- 1 2 )

Correct answer

A. Zero

Step-by-step solution

Work done = Change in potential energy aligned & W = U _f- U _i & ~W =0 aligned Hence, W=0

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