The amound of work done in assembling a system of maximum number of charges each of magnitude `q` so that each charge is equidistant from the other is equal to

Options

A. `(q^(2))/(2piepsilon_(0)r)`
B. `(3q^(2))/(4piepsilon_(0)r)`
C. `(3q^(2))/(2piepsilon_(0)r)`
D. none of these

Explanation

The arrangement possible is that of a pyramid
`E=6xx(1)/(4piepsilon_(0))xx(q^(2))/(r )=(3q^(2))/(2piepsilon_(0)r)`