Question

Eight point charges , each q , are placed on the vertices of a cube of side a. Find the potential energy of the system of charges.

Answer 1

Explanation:

total unique pair of charge = 28

pair of charges separated on body diagonal- √3q = 4

pair of charges separated on face diagonal - √2q = 12

pair of charges separated by side length (a) - q = 12

total potential energy of the system ,

U = kq²/q×12 + kq²/√2q×12 + kq²/√3q×4

U = kq²/q ( 12 + 6√2 + 4/√3 )

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