There are 3 charges: +q, -2q, and +q on the z axis, with -2g at the origin, and +q at z = a and z = -a as shown in the figure below. This system can be considered as a linear quadrupole, oriented along z axis, because the total charge is zero and the dipole moment is zero (consider it as two dipoles (+q, -q) pointing in opposite directions). Using the principle of superposition, the exact electric potential of this quadrupole is written as: V (r, 0) Vr? +a²–2arcose V ta²+2arcos0 Find the approximate electric potential of this quadrupole at the large distance r from it. -29 +q

There are 3 charges: +q, -2q, and +q on the z axis, with -2g at the origin, and +q at z = a and z = -a as shown in the figure below. This system can be considered as a linear quadrupole, oriented along z axis, because the total charge is zero and the dipole moment is zero (consider it as two dipoles (+q, -q) pointing in opposite directions). Using the principle of superposition, the exact electric potential of this quadrupole is written as: V (r, 0) Vr? +a²–2arcose V ta²+2arcos0 Find the approximate electric potential of this quadrupole at the large distance r from it. -29 +q

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

There are 3 charges: +q, -2q, and +q on the z axis, with -2q at the origin,
and +q at z = a and z = -a as shown in the figure below. This system can be
considered as a linear quadrupole, oriented along z axis, because the total
charge is zero and the dipole moment is zero (consider it as two dipoles
(+q, -q) pointing in opposite directions). Using the principle of
superposition, the exact electric potential of this quadrupole is written as:
V (r, 0) = {
%3D
4T€o Vr2 +a? -2arcose
Vr? +a?+2arcos0
Find the approximate electric potential of this quadrupole at the large
distance r from it.
-29
+q

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