a ring shaped conductor with radius a cames charge q uniformly distributed on it as shown in point P is situated at a distance x from its center the following graph shows the correct field (E ) with distance (x) ?

Options

A.
B.
C.
D. None of these

Answer

C

Explanation

The net electric field at point P is given by
`Eprop(qx)/(4piepsilon_(0)(x^(2)+a^(2))^(3//2))hati`
`therefore` At centre of ring , `x=0rArrE=E_(0)`
If `xgtgta,E=(1)/(4piepsilon_(0)),(q)/(x^(2))`
and E will be maximum ,
Where ,

`(dE)/(dt)=0rArrx=+-(a)/(sqrt(2))`
and`E_(max)=(1)/(4piepsilon_(0))(2q)/(3sqrt(3)a^(2))`