2. Electric Potential and Capacitance
medium

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)

A

$0$

B

$\frac{- q ^2}{4 \pi \varepsilon_0 d }$

C

$\frac{- q ^2}{4 \pi \varepsilon_0 d }\left(3-\frac{1}{\sqrt{2}}\right)$

D

$\frac{-q^2}{4 \pi \varepsilon_0 d }\left(6-\frac{1}{\sqrt{2}}\right)$

(NEET-2022)

Solution

Work$=U_{ f }-U_{ i }$

$\qquad=0-0$

Work$=0$

Standard 12
Physics

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