A uniformly charged thin rod of total length lies along the -axis with its centre at…

PHYSICS · Subjective · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

A uniformly charged thin rod of total length

2L

lies along the

x

-axis with its centre at the origin. The linear charge density of the rod is

\lambda

. A point charge

q

is placed on the positive

x

-axis at a point

x=a

where

a>L

. (i) Show that the magnitude of the electrostatic force on the point charge is

F = \frac{1}{4\pi\varepsilon_0}\,\frac{2\lambda q L}{a^{2}-L^{2}}.

(ii) State the direction of this force.