Q. 53.5( 2 Votes )

An electric dipole is placed at the centre of a sphere. Mark the correct options:
A. The flux of the electric field through the sphere is zero.

B. The electric field is zero at every point of the sphere.

C. The electric field is not zero anywhere on the sphere.

D. The electric field is zero on a circle on the sphere.

Answer :

A dipole consists of an equal positive and negative charge separated by a distance. Hence, the net charge due to a dipole is 0. Since the sphere encloses the dipole, by Gauss’ law,


𝚽 = electric flux,

ds = area element,

q = charge enclosed,

E = electric field,

ϵ = electric permittivity of vacuum.

q(enclosed charge) = 0. Hence, flux = 0(option a).

At any point on the sphere, the electric field is given by

, where

p = dipole moment

r = distance of the point from the centre of the dipole

E = electric field

Ө = angle between the dipole and the line joining the dipole with that point

ϵ = electric permittivity of vacuum

Hence, the electric field anywhere on the sphere is not 0, since cos2Ө cannot be equal to -1(option c).

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Kirchoff's Law for VoltageFREE Class
Few Applications of Gauss's law54 mins
All About Faraday's law55 mins
Kirchoff's Voltage Law41 mins
Kirchoff's current & Voltage lawFREE Class
Questions based on Kirchoff's Law for Voltage67 mins
Learn Raoult's Law56 mins
Ohm's Law - Full Concept in one Go59 mins
NCERT Important Questions of Gauss's Law43 mins
Interactive Quiz on Kirchoff's Law38 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses