Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 4.1, Problem 4.6P
To determine
The torque on the dipole- p.
The orientation at which the dipole comes to rest.
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Check out a sample textbook solutionStudents have asked these similar questions
Problem 4.19 Suppose you have enough linear dielectric material, of dielectric
constant Er
to half-fill a parallel-plate capacitor (Fig. 4.25). By what fraction is
the capacitance increased when you distribute the material as in Fig. 4.25(a)? How
about Fig. 4.25(b)? For a given potential difference V between the plates, find E,
D, and P, in each region, and the free and bound charge on all surfaces, for both
cases.
Houminos
********************
qa
(b)
Problems
4.1 Dipole Moment Practice Find the electric dipole moment of:
(a) a ring with charge per unit length i = A, cos o where o is the angular variable in cylindrical coordinates.
The space between the plates of a parallel-plate capacitor (Fig. 4.24) is filled with
two slabs of linear dielectric material. Each slab has thickness a, so the total distance
between the plates is 2a. Slab-1 has dielectric constant of 2 and slab-2 has a dielectric
constant of 1.5. With the area of each of the top and bottom conducting plates is
much greater than a?, we can assume the the surface charge densities +o and -o on
the top and bottom plates is uniform.
(a) Find the electric displacement D in each slab.
(b) Find the electric field E in each slab.
(c) Find the potential difference between the plates.
(d) Find the locations and amounts of all bound charge.
(e) Based on the values of bound charge, recalculate E and verify your answer from
(b).
(f) How do your results relate to the formula for the addition of two series capacitors?
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