The figure show four situations in which charged particles are at equal distances from the origin. If `E_1,E_2,E_3 and E_4` be the magnitude of the net electic field at the origin in four situations i, ii, iii and iv respectively then

Options

A. `E_1=E_2=E_3=E_+4`
B. `E_1=E_2gtE_3gtE_4`
C. `E_1ltE_2ltE_3=E_4`
D. `E_1gtE_2=E_3gtE_4`

Answer

A

Explanation

Let `E=`magnitude of electric field at origin due to change `+-q`. Then
i.
`E_1=sqrt((5E)^2+(5E)^2)=5sqrt2E`
ii.
`E_2` is again `5sqrt2E`.
Similarly, we can find `E_3` and `E-4` also