Chapter 4: Q4.25P (page 197)
Suppose the region abovethe xyplane in Ex. 4.8 is alsofilled withlinear dielectric but of a different susceptibility .Find the potential everywhere.
Short Answer
The potential is
Chapter 4: Q4.25P (page 197)
Suppose the region abovethe xyplane in Ex. 4.8 is alsofilled withlinear dielectric but of a different susceptibility .Find the potential everywhere.
The potential is
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Get started for freeShow that the interaction energy of two dipoles separated by a displacement is
[Hint: Use Prob. 4.7 and Eq. 3.104.]
Question: A sphere of linear dielectric material has embedded in it a uniform
free charge density . Find the potential at the center of the sphere (relative to
infinity), if its radius is R and the dielectric constant is .
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.]
Two long coaxial cylindrical metal tubes (inner radius a,outer radiusb)stand vertically in a tank of dielectric oil (susceptibility ,mass density ).The inner one is maintained at potential V,and the outer one is grounded (Fig. 4.32). To what height (h) does the oil rise, in the space between the tubes?
At the interface between one linear dielectric and another, the electric field lines bend (see Fig. 4.34). Show that
Assuming there is no free charge at the boundary. [Comment: Eq. 4.68 is reminiscent of Snell's law in optics. Would a convex "lens" of dielectric material tend to "focus’’ or "defocus," the electric field?]
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