Q.

Identical charges – q each are placed at 8 corners of a cube of each side b. Electrostatic potential energy of a charge + q which is placed at the centre of cub will be

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a

−42q2πε0b

b

−82q2π ε0b

c

−4q23πε0b

d

−82q23πε0b

answer is C.

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Detailed Solution

Length of body diagnonal =3b. ∴ Distance of centre of cube from each corner, r=32bTotal P.E. of charge + q at the centre=8q(−q)4πε0r=−8q24πε0(3b/2)=−4q2πε03b
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