Five point charges, +q each are placed at the five vertices of a regular hexagon. The distance of the center of the hexagon from any fo the vertices is a. the electric field at the center of the hexagon is

Options

A. `(q)/(4 pi epsilon_(0)a^(2))`
B. `(q)/(8 pi epsilon_(0)a^(2))`
C. `(q)/(16 pi epsilon_(0)a^(2))`
D. zero

Answer

A

Explanation

`E=(1)/(4 pi epsilon_(0)) (q)/(a^2)`
Suppose the charge is present at the sixth vertex also, then electric field at center would be zero. Now, if charge is not present at this vertex. The electric field at center would be because of other five charges, which should be equal and opposite to the fiedl produced due to single charge at the sixth vertex.