Q: Draw a circle in the xy plane. At a few representative
Draw a circle in the xy plane. At a few representative points draw the vector v tangent to the circle, pointing in the clockwise direction. By comparing adjacent vectors, determine the sign of ∂vx /∂...
See AnswerQ: A thick spherical shell (inner radius a, outer radius b
A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a âfrozen-inâ polarization where k is a constant and r is the distance...
See AnswerQ: Suppose the field inside a large piece of dielectric is E0,
Suppose the field inside a large piece of dielectric is E0, so that the electric displacement is / (a) Now a small spherical cavity (Fig. 4.19a) is hollowed out of the material. Find the field at the...
See AnswerQ: For the bar electret of Prob. 4.11, make
For the bar electret of Prob. 4.11, make three careful sketches: one of P, one of E, and one of D. Assume L is about 2a. [Hint: E lines terminate on charges; D lines terminate on free charges.]
See AnswerQ: The space between the plates of a parallel-plate capacitor (
The space between the plates of a parallel-plate capacitor (Fig. 4.24) is ï¬lled with two slabs of linear dielectric material. Each slab has thickness a, so the total distance between t...
See AnswerQ: Suppose you have enough linear dielectric material, of dielectric constant εr
Suppose you have enough linear dielectric material, of dielectric constant εr, to half-fill a parallel-plate capacitor (Fig. 4.25). By what fraction is the capacitance increased when you distribute th...
See AnswerQ: According to quantum mechanics, the electron cloud for a hydrogen atom
According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a charge density / where q is the charge of the electron and a is the Bohr radius. Find the atomic polar...
See AnswerQ: A sphere of linear dielectric material has embedded in it a uniform
A sphere of linear dielectric material has embedded in it a uniform free charge density Ï. Find the potential at the center of the sphere (relative to infinity), if its radius is R and the...
See AnswerQ: A certain coaxial cable consists of a copper wire, radius a
A certain coaxial cable consists of a copper wire, radius a, surrounded by a concentric copper tube of inner radius c (Fig. 4.26). The space between is partially ï¬lled (from b out to c...
See AnswerQ: A very long cylinder of linear dielectric material is placed in an
A very long cylinder of linear dielectric material is placed in an otherwise uniform electric field E0. Find the resulting field within the cylinder. (The radius is a, the susceptibility χe, and the axi...
See Answer