Six point charges are kept at the vertices of a regular hexagon of side L and centre O, as shown in the figure. Given that `K=(1)/(4piepsilon_0)(q)/(L^2)`, which of the following statements(s) is (are) correct?

Options

A. The electric field at `O is 6 K` along `OD`
B. The potential at `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

4

Explanation

Electric field and potential at `O`:
`E_(o) = 4 K + 2 K cos 60^(@) xx 2 = 6 K` , along `OD`
`V_(o) = 0`
On the line `PR ,V = 0`