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NEET · Physics · STD 12 - 2. Electric potential and capacitance

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 \(q _0\) to the centre of the hexagon from infinity is :\(\left(\varepsilon_0-\right.\) permittivity of free space)

  1. A \(0\)
  2. B \(\frac{- q ^2}{4 \pi \varepsilon_0 d }\)
  3. C \(\frac{- q ^2}{4 \pi \varepsilon_0 d }\left(3-\frac{1}{\sqrt{2}}\right)\)
  4. D \(\frac{-q^2}{4 \pi \varepsilon_0 d }\left(6-\frac{1}{\sqrt{2}}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(0\)

Step-by-step Solution

Detailed explanation

Work\(=U_{ f }-U_{ i }\) \(\qquad=0-0\)