A small object with electric dipole moment p is placed in a nonuniform electric field E = E(x)î. That is, the field is in the x direction, and its magnitude depends only on the coordinate x. Let 0 represent the angle between the dipole moment and the x direction. Prove that the net force on the dipole is dE cos 0 dx, F = p acting in the direction of increasing field.

A small object with electric dipole moment p is placed in a nonuniform electric field E = E(x)î. That is, the field is in the x direction, and its magnitude depends only on the coordinate x. Let 0 represent the angle between the dipole moment and the x direction. Prove that the net force on the dipole is dE cos 0 dx, F = p acting in the direction of increasing field.

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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Question

A small object with electric dipole moment p is placed in
a nonuniform electric field E = E(x)î. That is, the field is
in the x direction, and its magnitude depends only on the
coordinate x. Let 0 represent the angle between the dipole
moment and the x direction. Prove that the net force on the
dipole is
dE
cos 0
dx,
F = p
acting in the direction of increasing field.

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