Physics 318 R.G. Palmer Electromagnetism 4/7/10

Physics 318
R.G. Palmer
Assignment 7 (due Monday 4/12/10)
1. Jackson’s problem 3.1
2. Jackson’s problem 3.4
3. Jackson’s problem 3.5
4. Jackson’s problem 3.10
5. Consider a region constructed from the intersection of two concentric spheres, radius a and b (with
b > a) and a right-angle cone. Specifically, in (r, θ, φ) coordinates, a ≤ r ≤ b, 0 ≤ θ ≤ π/4, and
0 ≤ φ ≤ 2π. Suppose that there is a fixed potential V0 on the r = b surface, and zero potential on the
other two surfaces. Find an expansion for the potential everywhere in the region, and make a contour
plot of the equipotentials for the case b = 2a.
Note: In Mathematica (or something like it) you’ll have to set up functions to find the appropriate roots
of Pν (cos θ0 ) = 0, and to do two types of integrals. The result should converge pretty well except near
some of the boundaries.
Random flashcards
Arab people

15 Cards


39 Cards


46 Cards


14 Cards

Create flashcards