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 = \frac{1}{4 \left(πε\right)_{0}} \textrm{ }\textrm{ } \frac{q}{L^{2}} , which of the following statement(s) is(are) correct?

Engineering

Physics

Electric Flux and Gauss Law and its Applications

Electric Potential Energy and Electric Potential

Electric Dipole

Question

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 $K = \frac{1}{4 {πε}_{0}} \frac{q}{L^{2}}$ , which of the following statement(s) is(are) correct?

The potential at O is zero.

The potential at all points on the line PR is same.

The electric field at O is 6K along OD.

The potential at all points on the line ST is same.

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$∴ E_{res} = 6 E = 6 \frac{1}{4 {πε}_{0}} \frac{q}{L^{2}} = 6 K$

Assuming that potential is zero at $\infty$