In the following link is the
plan for the homework problem covering the entire semester in case you want to
plan ahead. It also contains the important information about the sections of
each chapter that we will study.

Full list of homework problems

More specifically, this is
the information of the homework problems, week by week:

Week 1: 1.

2.

3. Show that Eq. (1.17) (page 35,
top) satisfies the Poisson equation by following

the “a-potential”
procedure described on page 35. This
problem illustrates

how to carry out rigorous
mathematical proofs in the E&M context, where the

singular function
1/|x-x’| appears often in the calculation.

Week 2: 1.

2.

3.

that we will have in the
homework, thus make sure you understand how

to deal with these
functions.

Week 3: In 1,2,3 below (obviously!) you have to
provide more detail than in the book:

1. Show that Eq.(2.11) is correct, starting at Eq.(2.10)

2. Show that Eq.(2.14) is
correct, starting at Eq.(2.12).

3. Show that Eq.(2.22) is correct, starting at Eq.(2.19).

4. Jackson 2.23, only (a) (this is the only “new” problem)

Week 4: 1.

2. Show that Eq. (3.36) of
Sec.3.3 is correct, starting with the general formula Eq. (3.35).

Arriving to the first two
terms of Eq. (3.36) is sufficient.

3.

Week 5: 1,

2.

Week 6: no homework this week, because of first
mid-term exam

Week 7: 1.

2.

3. Starting with Eq. (5.14) in
the book, derive in detail Eq. (5.22).

4. Starting with Eq. (5.10) in
the book, show that for two long, parallel,

straight wires, carrying
currents I_{1} and I_{2}, the force is attractive (repulsive)

if the currents flow in the
same (opposite) directions.

Week 8: 1.

2.

point is to see if Bz and Hz
are or not continuous at the interface.

3. Do the math that I skipped
in a lecture: show that taking the curl of

Eq. (5.55) you do get Eq.
(5.56).

Week 9: 1. Following the
steps in the book pages 210 and 211, show that (5.141)

is correct starting with
(5.136), namely show that k=1. This equation

includes the case in which
the surface S is changing with time (not

covered in class).

2. Show that the time-averaged
power input per unit volume is given

by (5.169), starting with
the expressions for the current and electric

field a few lines above.

3. This one is about the mathematics of
Chapter 6. Show that the current

J can be written as the sum
of the longitudinal current and the transverse

Current given by (6.27) and
(6.28).

Week 10: 1. In class, I explained (or tried to
explain) problem “Example 15” of

is about a current flowing
down a wire and the calculation aims

to find the energy per unit
time delivered to the wire using the

Poynting vector. Repeat
carefully the solution of the problem as in

book where the same result
“VI” is obtained by a more canonical

procedure.

2.

3.

4. Following the steps in

sphere is considered and
the force on the northern hemisphere

caused by the southern
hemisphere is calculated. In the third edition

of the book this example is in page
353, and the equation that you

are asked to show that it
is correct is Eq.(8.27).

Week 11: For the time being, just one problem since
I am aiming to having

the second mid-term exam this coming week. The problem
is:

1.

Week 12: 1.

2.

Week 13: 1.

2.

That was the last homework
of the semester!!