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Point charges +q and -q are kept alterna...

Point charges `+q and -q` are kept alternately at the corners of a cube of side 'a' as shown in the figure. Write an expression for the work done in removing all the charges far away from each other.

Text Solution

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Required work done = - (Initial potential energy of the system)
`-[12((q)(-q))/(4piepsilon_(0)(a))+6((q)(q))/(4piepsilon_(0)(sqrt(2)a))+6((-q)(-q))/(4piepsilon_(0)(sqrt(2)a))+4((q)(-q))/(4piepsilon_(0)(sqrt(3)a))]`
`=(q^(2))/(4piepsilon_(0)a)(12-6sqrt(2)+(4)/(sqrt(3)))`
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