A charge is fixed at each of the points on the -axis

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

A charge

+q

is fixed at each of the points

x=x_0,3x_0,5x_0,\ldots

on the

x

-axis, and a charge

-q

is fixed at each of the points

x=2x_0,4x_0,6x_0,\ldots

. Here

x_0

is a positive constant. The electric potential at a point due to a charge

q

at distance

r

\frac{q}{4\pi\epsilon_0r}

. The potential at the origin due to the above system is (1) 0 (2)

\frac{q}{8\pi\epsilon_0x_0\ln2}

(3)

\infty

(4)

\frac{q\ln2}{4\pi\epsilon_0x_0}