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)
5.13 just calculate the vector potential (not the B field)
also calculate the magnetic dipole moment of the current
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.
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.
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
(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,
1. From the results of (7.39), show that the reflection and the transmission coefficients
add up to one.