An electric dipole of two charges of equal magnitude and opposite sign separated by a distance 2a, as shown in the figure below. The dipole is along the x-axis and is centered at the origin. (a) Express the dipole moment p of the dipole and its direction. (b) Calculate the electric potential V(x), and hence, the electric field Ex at point P. Express V(x) and Ex in terms of p and x. (c) Calculate V(x) and Ex if point P is located at a point far from the dipole, (x » a). (d) Calculate V(x) and Ex if point is located anywhere between the two charges.

An electric dipole of two charges of equal magnitude and opposite sign separated by a distance 2a, as shown in the figure below. The dipole is along the x-axis and is centered at the origin. (a) Express the dipole moment p of the dipole and its direction. (b) Calculate the electric potential V(x), and hence, the electric field Ex at point P. Express V(x) and Ex in terms of p and x. (c) Calculate V(x) and Ex if point P is located at a point far from the dipole, (x » a). (d) Calculate V(x) and Ex if point is located anywhere between the two charges.

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

An electric dipole of two charges of equal magnitude and opposite sign
separated by a distance 2a, as shown in the figure below. The dipole is
along the x-axis and is centered at the origin.
(a) Express the dipole moment p of the dipole and its direction.
(b) Calculate the electric potential V(x), and hence, the electric field Ex at
point P. Express V(x) and Ex in terms of p and x.
(c) Calculate V(x) and Ex if point P is located at a point far from the
dipole, (x > a).
(d) Calculate V(x) and Ex if point is located anywhere between the two
charges.

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Ch. 24