Q: An electric dipole p, pointing in the y direction, is
An electric dipole p, pointing in the y direction, is placed midway between two large conducting plates, as shown in Fig. 4.33. Each plate makes a small angle θ with respect to the x axis...
See AnswerQ: A point charge Q is “nailed down” on a table
A point charge Q is “nailed down†on a table. Around it, at radius R, is a frictionless circular track on which a dipole p rides, constrained always to point tangen...
See AnswerQ: Earnshaw’s theorem (Prob. 3.2) says that you
Earnshaw’s theorem (Prob. 3.2) says that you cannot trap a charged particle in an electrostatic ï¬eld. Question: Could you trap a neutral (but polarizable) atom in an...
See AnswerQ: A dielectric cube of side a, centered at the origin,
A dielectric cube of side a, centered at the origin, carries a “frozen- in” polarization P=kr, where k is a constant. Find all the bound charges, and check that they add up to zero.
See AnswerQ: The space between the plates of a parallel-plate capacitor is
The space between the plates of a parallel-plate capacitor is filled with dielectric material whose dielectric constant varies linearly from 1 at the bottom plate (x=0) to 2 at the top plate (x=d). The...
See AnswerQ: A point charge q is imbedded at the center of a sphere
A point charge q is imbedded at the center of a sphere of linear dielectric material (with susceptibility χe and radius R). Find the electric field, the polarization, and the bound charge densities, ρb...
See AnswerQ: At the interface between one linear dielectric and another, the electric
At the interface between one linear dielectric and another, the electric ï¬eld lines bend (see Fig. 4.34). Show that assuming there is no free charge at the boundary. [Comment: Eq. 4.68...
See AnswerQ: A point dipole p is imbedded at the center of a sphere
A point dipole p is imbedded at the center of a sphere of linear dielectric material (with radius R and dielectric constant εr ). Find the electric potential inside and outside the sphere...
See AnswerQ: Prove the following uniqueness theorem: A volume contains a specified free
Prove the following uniqueness theorem: A volume contains a speciï¬ed free charge distribution, and various pieces of linear dielectric material, with the susceptibility of each one giv...
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