Question

Three point charges, each of charge q are placed on vertices of a triangle ABC, with AB = AC = 5L, BC = 6L. The electrostatic potential at midpoint of side BC will be ______.

Options

• `11/48 q/(piepsilon_0L)`

• `(8q)/(36piepsilon_0L)`

• `(5q)/(24piepsilon_0L)`

• `1/16 q/(piepsilon_0L)`

Answer 1

Three point charges, each of charge q are placed on vertices of a triangle ABC, with AB = AC = 5L, BC = 6L. The electrostatic potential at midpoint of side BC will be `bbunderline(11/48 q/(piepsilon_0L))`.

Explanation:

Total potential V_net = V_A + V_B + V_e

`V_("net") = (kq)/R + (kq)/R + (kq)/R`

`V_("net") = (kq)/(4L) + (kq)/(3L) + (kq)/(3L)`

`V_("net") = (kq)/(4L) + (2kq)/(3L)`

`V_("net") = (11kq)/(12L)`

= `11/(12L) xx q/(4piepsilon_0)`

`V_("net") = 11/48 q/(piepsilon_0L)`