Answer :

The diagram is given as:


X Y Z



The given charges of same magnitude placed at points X, Y, and Z respectively, forms an electric quadrupole.


Where, charge + q is at point X, charge -2q is at point Y, and charge + q is at point Z.


The point P is at a distance r from point Y.


Here, XY = YZ = a


So, YP = r, PX = r + a, PZ = r-a.


The electrostatic potential due to the system of three charges at point P is given by,








Since, r/a>>1


Then a/r<<1 which implies a2/r2 is negligible so it can be ignored,


Thus, potential becomes,


V =


Relation of potential due to quadrupole with r is V1/r3


However, for a dipole it is V1/r2


And for a monopole it is V1/r


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
caricature
view all courses
RELATED QUESTIONS :

Define an equipotPhysics - Board Papers

Describe schematiNCERT - Physics Part-I

Figure 2.34 showsNCERT - Physics Part-I

Two charges 2 <spNCERT - Physics Part-I

In a hydrogen atoNCERT - Physics Part-I

Two charges –q anNCERT - Physics Part-I

A charge 'q' is mPhysics - Board Papers

(a) Draw the equiPhysics - Board Papers

A regular hexagonNCERT - Physics Part-I