Physics 318
Electromagnetism
R.G. Palmer
3/19/10
Assignment 5/6 (due Monday 3/29/10)
1. Jackson’s problem 2.2 (Easy)
2. Jackson’s problem 2.4
3. Jackson’s problem 2.6
4. Jackson’s problem 2.8 Algebraically challenging! Also involves some coordinate geometry; it may help
to know Appolonius’ definition of a circle: |z − A| = m|z − B| (in complex notation).
5. Jackson’s problem 2.13
6. Jackson’s problem 3.2 You will need to use a recurrence.
7. Jackson’s problem 3.3
8. Jackson’s problem 5.13. You can use (from class):
I
cos θ0 2 0
4πa2 x<
a dΩ =
0
|x − x |
3 x2>
x< = min(x, a) x> = max(x, a)
9. Make plots for the B field lines for the standard loop (Jackson 5.5) and the magnetic dipole moment
for the same value (i.e. m = Iπa2 ). You will need to use Mathematica (or something like it).