A uniform electric field of magnitude is directed along the +x-axis

PHYSICS · Multi-part · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

A uniform electric field of magnitude

E_0

is directed along the +x-axis, and a point charge

Q

is placed at the origin. (a) Show that any point on the x-axis where the net electric field becomes zero satisfies

x=\pm\sqrt{\dfrac{kQ}{E_0}}

, where

k=1/(4\pi\varepsilon_0)

. (b) If

Q=-5.0\,\text{nC}

and

E_0=2.0\times10^{4}\,\text{N C}^{-1}

(directed along +x), state on which side of the origin the equilibrium point lies and calculate its distance from the origin.