If identical charges (−q) are placed at each corner of a cube of side b, then electric potential energy of charge (+q) which is placed at centre of the cube will be
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a
82q24πε0b
b
−82q2πε0b
c
−42q2πε0b
d
−4q23πε0b
answer is D.
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Detailed Solution
Length of the diagonal of a cube having each side b is 3 b.So distance of centre of cube from each vertex is 3 b2.Hence potential energy of the given system of charge is U=8×14πε0.(−q) (q)3 b/2=−4q23πε0b