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.
More specifically, this is the information of the homework problems, week by week:
Week 1: 1.
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.
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.
Week 5: 1,
Week 6: no homework this week, because of first mid-term exam
Week 7: 1.
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 I1 and I2, the force is attractive (repulsive)
if the currents flow in the same (opposite) directions.
Week 8: 1.
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
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:
Week 12: 1.
Week 13: 1.
That was the last homework of the semester!!