Two charges each +q are at the vertices of the equilateral triangle of side a as shown. A is a vertex, B is midpoint of the side and C is a point at a distance as from the right vertex as shown in the figure. THE magnitudes of electric intensities at A, B and C are respectively. The correct ascending order of these intensities is

Options

A. `E_(B)ltE_(A)ltE_(C)`
B. `E_(C)ltE_(a)ltE_(B)`
C. `E_(A)ltE_(B)ltE_(C)`d
D. `E_(B)ltE_(C)ltE_(A)`

Answer

C

Explanation

The field at A is `sqrt(3)kq^(2)//a^(2)`, the field at B is zero and the field at C sum of `kq^(2)//a^(2)` and `kq^(2)//4a^(2)`.