W.: Consider a dipole in an external electric field Ë = Eoû where Eo is a constant. magnitudle of the dipole moment): For the four cases of orientation of the dipole (p is the (i) F pê (ii) = py (iii) =-pâ (iv) p= -py a. Find the potential energy of the dipole in this external field. Order your answers from highest to lowest potential energy. b. If the dipole were free to rotate in this external electric field, which orientation would be the equilibrium alignment? (as a hint, consider the analogy of a particle in the gravitational field of the earth; its potential energy increases with increasing altitude above the surface. If left free, in what direction of change of potential energy does it go?) at the origin of the coordinates meters from the

W.: Consider a dipole in an external electric field Ë = Eoû where Eo is a constant. magnitudle of the dipole moment): For the four cases of orientation of the dipole (p is the (i) F pê (ii) = py (iii) =-pâ (iv) p= -py a. Find the potential energy of the dipole in this external field. Order your answers from highest to lowest potential energy. b. If the dipole were free to rotate in this external electric field, which orientation would be the equilibrium alignment? (as a hint, consider the analogy of a particle in the gravitational field of the earth; its potential energy increases with increasing altitude above the surface. If left free, in what direction of change of potential energy does it go?) at the origin of the coordinates meters from the

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

100%

HW.:
1. Consider a dipole in an external electric field E =
a constant.
magnitude of the dipole moment):
Eoy where Eo is
For the four cases of orientation of the dipole (p is the
(i) pt
(ii) = py
(iii) =-p.
(iv) p=-py
a. Find the potential energy of the dipole in this external field. Order
your answers from highest to lowest potential energy.
b. If the dipole were free to rotate in this external electric field, which
orientation would be the equilibrium alignment? (as a hint, consider
the analogy of a particle in the gravitational field of the earth;
its potential energy increases with increasing altitude above the
surface. If left free, in what direction of change of potential energy
does it go?)
Pou is located at the origin of the coordinates
At a distance ofF 0.01 meters from the
2. A point dipole %=
and po
dipole, find the electric field at each of the following locations and, on
a diagram, sketch in the direction of the field at each point:
1.00 x 10-15 Cm.
a. along the positive x-axis.
b. along the positive y-axis.
c. along the negative x-axis.
d. along the negative y-axis.
e. at a point in the first quadrant in the r-y plane, making an angle
of 45° with both the positive-a and positive-y axes.

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