Five point charge (`+q` each) are placed at the five vertices of a regular hexagon of side `2a`.what is the magnitude of the net electric field at the centre of the hexazon?

Options

A. `1/(4piepsilon_0)q/a^2`
B. `q/(16 piepsilon_0a^2)`
C. `(sqrt2q)/(4piepsilon_0a^2)`
D. `(5q)/(16piepsilon_0a^2)`

Answer

B

Explanation

`E_1 and E_4` are cancelled.
`E_2 and E_5` are canceled
`:. E_(net)=E_3=1/(4piepsilon_0).q/((2a)^2)=q/(16piepsilon_0a^2)`