Six point charges are kept at the vertices of a regular hexagon of side L and center O, as shown in figure. Given that `K = q//4piepsilon_0L^2`, which of the following statement (s) is//are correct?

Options

A. The electric field at O is 6k along the OD
B. The potential at point O is zero
C. The potential at all points on the line PR is same
D. The potential at all points on the line ST is same

Answer

A, B, C

Explanation

Resultant of 2k (at 120°) is also 2k towards 4k. Therefore, net electric field is 6k.
(B) `v_(0)=1/(4piepsi_(0))[(qA)/L+(qB)/L+(qC)/L+(qD)/L+(qE)/L+(qE)/L]=1/(4piepsi_(0)L)(q_(A)+….+q_(F))=0`
Because `q_(A)+q_(B)+q_(C)+q_(D)+q_(E)+q_(F)=0`
(C) (C) Only line PR, potential is same (=0)