Problem set 1. Jackson pp50-52 (due 8/31)

1.1; 1.3; 1.5; 1.6a,b; 1.9 (identical problems in the 2nd edition)

Probelm set for chapter 2 (due 9/7) set2

Probelm set for chapter 3: 3.1
and 3.3 (due 9/19)

3.17a and 3.20a (due 10/3)

(they are 3.15a and 3.18a in the second edition)

Problem set for chapter 4: 4.6
a,c (due 10/10)

4.8 a, c (due 10/19)

4.13 (due 10/19)

Problem set for chapter 5: 5.3 and 5.6 (due 10/31)

(due 11/7)

5.13 just calculate the vector potential (not the B field)

also calculate the magnetic dipole moment of the current

5.22

Problem for chapter 6.

6.8
(due 11/30)

See
the following guide to work out this problem.

Start with the equation derived in problem 6.7 where you can find the B
field due

to a moving electric dipole polarization.
The last term can be treated as an effective

magnetization. If you can prove that the
curl of H is zero, then you can use the scalar

magnetic potential concept. From (5.100)
you then can prove the equation given,

Calculate the B and H vectors inside the
dielectric.

problem
w1. (due 11/30)

A current I flows through
a resistor R in the form of a long

straight wire. Show that the
poynting vector flows radially inward through

the surface of the wire with
the correct magnitude to produce the Joule heating.

Problem w2.
(due 11/30)

This problem is adopted from the book
of Heald and Marion, 4-12 and 4-13. It

is a good exercise of manipulating the time-dependent
Maxwell equations.

Consider a parallel-plate capacitor
consisting of two circular plates. The radius of

the plate is a and
the plate separation is h and
the medium is filled with a dielectric which

has dielectric constant $\ipsilon$.
The capacitor is charged by connecting to a battery

with EMF V_0
and
a series resistor R.
If the circuit is closed at t=0 find the following

quantities within the capacitor as a function
of time. Neglect the edge effect.

(a) The electric field.

(b) the magnetic field.

(c) the Poynting vector.

(d) the total field energy.

(f) the scalar potential.

(g) the vector potential.

Problem w3. (due 11/30)

Continue problem w2, but now assume that the
material between the plates have

conductivity $\sigma$
in addition to being a dielectric. Forget the resistor in problem

w2. This capacitor is charged to a potential
V_0 by a battery and then disconnected at

t=0.

(a) Find the free charge on the capacitor as
a function of time.

(b) Find the conduction current, the displacement
current density.

(c) Find the magnetic field H within the capacitor,

Chapter 7.

1. From the results of (7.39), show that
the reflection and the transmission coefficients

add up to one.