Six charges are placed at the vertices of a rectangular hexagon as shown in the figure. The electric field on the line passing through point O and perpendicular to the plane of the figure as a function of distance x from point O is (assume x>>>a)

Options

A. 0
B. `(Qa)/(piepsilon_0x^3)`
C. `(2Qa)/piepsilon_0x^3`
D. `(sqrt3Qa)/(piepsilon_0x^3)`

Answer

B

Explanation

`E=E_1=E_2=E_3(1/4piepsilon_0))(P/x^3)`
`=(1/(4piepsilon_0))(2Qa)/x^3`
Resultant of `E_1 and E_3` is also equal to E a along `E_1` (along `E_2)`
`:. E_("net")=2E`
`=(Qa)/(piepsilon_0x^3)`