Solution Found!
At the interface between one linear dielectric and
Chapter 4, Problem 36P(choose chapter or problem)
Problem 36P
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?]
Questions & Answers
QUESTION:
Problem 36P
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?]
ANSWER:
Solution 36P:
Step 1 of 4:-
In this problem we need to show that, .
The electric displacement is: .
Where, is the permittivity of free space and
is the polarization.
is the electric field.
In terms of , the gauss’s law can be written as,
Or
Where is the free charge density and is the free charge.
