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Chapter 4: Q4.14P (page 179)
When you polarize a neutral dielectric, the charge moves a bit, but the total remains zero. This fact should be reflected in the bound charges and 路 Prove from Eqs. 4.11 and 4.12 that the total bound charge vanishes.
The value of total charge of a piece of neutral dielectric is .
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Show that the energy of an ideal dipole p in an electric field E isgiven by
Suppose you have enough linear dielectric material, of dielectric constant 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.
An uncharged conducting sphere of radius ais coated with a thick
insulating shell (dielectric constant ) out to radius b.This object is now placed in an otherwise uniform electric field . Find the electric field in the insulator.
A point charge qis situated a large distance rfrom a neutral atom of
polarizability .Find the force of attraction between them.
A sphere of radius R carries a polarization
P(r)=kr,
Where k is a constant and r is the vector from the center.
(a) Calculate the bound charges and .
(b) Find the field inside and outside the sphere.
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