EE 333 Electricity and Magnetism, Fall 2009
Homework #7 solution
4.4. Consider the linear quadrupole shown in Figure P4.4. It basically consists
of two dipoles superposed along the z axis. Determine the potential P at a far
distance r (i.e. r d) from the
EE 333 Electricity and Magnetism, Fall 2013
Homework #2 solution
1.23
1.24. A charged particle (charge q, mass m) is moving under the inuence of a
magnetic eld
B = B0 az
If the velocity vector of the particle is
v = vx ax + vy ay + vz az
show that the acc
EE 333 Electricity and Magnetism, Fall 2013
Homework #1 solution
15. Express the vector K = (x2 y 2 )ay + xyzaz in the cyllindrical coordinate
system and evaluate it at the point P (3, /3, 4).
Begin by expressing x, y , and z in cylindrical coordinates.
x
EE 333 Electricity and Magnetism, Fall 2013
Homework #3 solution
2.3 Verify the divergence theorem for the vector
F = a + zaz
Choose the surface of integration to be the quarter of a cylinder of radius a and
height b as shown in Figure P2.3. The volume v
EE 333 Electricity and Magnetism, Fall 2013
Homework #4 solution
2.21. The electric eld E induced owing to a time-varying magnetic ux density
B is given by
E = E0 z 2 cos t x
(a) Assuming that B has only y component, and that its initial value is zero,
nd
EE 333 Electricity and Magnetism, Fall 2013
Homework #5 solution
3.4. Three coaxial cylinders separated by two dierent dielectric are charged as
follows.
The inner cylinder of radius a has a positive linear charge density l1 C/m.
The outer cylinder of rad
EE 333 Electricity and Magnetism, Fall 2008
Exam #5, 2008/12/12
Solution
Rules
You may use your calculator and books and notes. I cannot answer clarication questions.
Answer what you think the question asks. Each sub-question counts equally. Remember our
EE 333 Electricity and Magnetism, Fall 2013
Exam 4 December 6, 2013
solution
This is a closed-book exam. You are only allowed pen, paper, brain (your own
only), and calculator. The exam is designed for conceptual understanding not
long derivations. You MU
EE 333 Electricity and Magnetism, Fall 2013
Exam 1 September 27, 2013
solution
This is a closed-book exam. Calculators allowed. The exam is designed for conceptual understanding not long derivations. You MUST box your answer. When
there are multiple value
EE 333 Electricity and Magnetism, Fall 2008 Exam #2, 2008/10/13
Rules You may use your calculator and books and notes. I cannot answer clarication questions. Answer what you think the question asks. Each sub-question counts equally. Include units in all n
EE 333 Electricity and Magnetism, Fall 2013
Exam 2 November 4, 2013
solution
This is a closed-book exam. Calculators allowed. The exam is designed for conceptual understanding not long derivations. You MUST box your answer. When
there are multiple values
EE 333 Electricity and Magnetism, Fall 2013
Exam 3 November 22, 2013
solution
This is a closed-book exam. You are only allowed pen, paper, brain (your own
only), and calculator. The exam is designed for conceptual understanding not
long derivations. You M
EE 333 Electricity and Magnetism, Fall 2009
Exam 1
Rules: This is a closed-book test. No calculator is needed for these problems, so a calculater
is not allowed either. I expect you to know Maxwells equations and basic math. If you need
to be reminded of
EE 333 Electricity and Magnetism, Fall 2009
Homework #2 solution
1.26. Consider the contour c shown in Figure P1.26 and the vector eld
F = 2 z 2 + 1 cos z 2 + 1 sin + 22 z cos z
(a) Evaluate c F dl.
(b) Evaluate c1 F dl, where c1 is a straight line joinin
EE 333 Electricity and Magnetism, Fall 2009
Homework #3 solution
2.21. Which of the following vectors can be a static electric eld? Determine the
charge density associated with it.
(a)
E = ax2 y 2 x, a is constant
(b)
E=
a
2
(1 + cos ) + sin
If we look
EE 333 Electricity and Magnetism, Fall 2009
Homework #6 solution
3.8.
(a) In characterizing materials according to their reactions to externally applied
electric and magnetic eld, we in general identied three dierent types of
materials.
(i) Indicate these
EE 333 Electricity and Magnetism, Fall 2009
Homework #9 solution
4.10. The two innite conducting cones = 1 , and = 2 are maintained at
the two potentials 1 = 100 V, and 2 = 0 V, respectively, as shown in Figure
P4.10.
(a) Use Laplaces equation in the sphe
EE 333 Electricity and Magnetism, Fall 2009
Homework #11 solution
4.24. At the interface between two magnetic materials shown in Fig P4.24, a
surface current density JS = 0.1 y is owing. The magnetic eld intensity H2 in
region 2 is given by H2 = 3 + 9. De
EE 333 Electricity and Magnetism, Fall 2009
Homework #13 solution
7.12. A pulse generator of output voltage VG = 1, V and pulse duration of 1 s
is connected to a transmission line of characteristic impedance Z0 = 50 . and a
velocity of propagation of u =
EE 333 Electricity and Magnetism, Fall 2009
Homework #12 solution
7.4. Given the lossless transmission line in Figure P7.4, if it takes T seconds for
a traveling wave to move from the sending to the receiving end of the line:
1. Plot the voltage at the re
EE 333 Electricity and Magnetism, Fall 2009
Homework #5 solution
2.17. Show that the vector
1
sin cos2 r
2
r
may represent a static magnetic ux density vector. Determine the current density associated with it.
The magnetic eld is a valid static magnetic e
EE 333 Electricity and Magnetism, Fall 2009
Homework #4 solution
1.37. In Figure P1.37 a spherical cloud of charge in free space is characterized
by a volume charge density
0 1
v =
r2
a2
r<a
0
ra
The cloud is symmetric, so the we have right away that
Q(r
EE 333 Electricity and Magnetism, Fall 2009
Exam 3
Rules: This is a closed-book exam. You may use calculator, and the attached help sheets.
The exam will last 50 minutes, and each of the following numbered questions count equally
toward your grade. None o
EE 333 Electricity and Magnetism, Fall 2009
Exam 2
Rules: This is a closed-book test. You may use calculator, and the attached help sheets.
The exam will last 50 minutes, and each of the following numbered questions count equally
toward your grade. None o
EE 333 Electricity and Magnetism, Fall 2009
Exam 4
Rules: This is a open book exam. You may use the textbook and your notes. The exam will
last 50 minutes, and each of the following numbered questions count equally toward your
grade. None of these problem
EE 333 Electricity and Magnetism, Fall 2009
Homework #1 solution
1.14. Two point charges, Q1 = 1 nC and Q2 = 3 nC, are located at the Cartesian
points (1,1,0) and (0,2,1), respectively. Find E at (3,5,5). Coordinates are given
in meters and one nC = 109 C
EE 333 Electricity and Magnetism, Fall 2008 Exam #1, 2008/9/19 Solutions
Question 1: Charges A charge of 0.1 mC is placed at the location (x, y, z) = (1, 1, 0) m, and a charge of 0.01 mC is placed at (x, y, z) = (-1, -1, 0) m. (a) What is the direction an