Physics 436
Homework 1
Solution
Due January 25, 2016
This is review.
Each problem is worth five points. In this course, all HW problems will have the same value
unless stated otherwise.
1. Electrostat
Physics 436
Homework 2
Solution
Due February 1, 2016
Note: Problem 3 is worth 10 points.
1. Recall the boundary conditions on static E and B at an interface between two materials:
E !and!B are always
Physics 436
Homework 5
Solution
Due February 22, 2016
NOTE: The first exam is Wednesday, February 24, in class.
1. In discussion, you calculated the radiation pressure on a perfectly absorbin
PHYS 436 HW1 Solution
Chun Kit Chan
February 14, 2012
Pro 8.3 The setting of the hemisphere for this problem is given in Fig. 1
Figure 1: Setting of coordinates of the problem (Fig. 8.4 of Griths)
Fro
PHYS 436 Homework 2 CHECKPOINT SHOW YOUR WORK!
#1) In the absence of surface current, the perpendicular component of S is continuous.
qB0 c 2
S
(0, 0, sin )
=
#2) a)
(in spherical coordinates)
4 r 2
PHYS 436 HW 7Solution
by Chun Kit Chan
March 12, 2012
Pro. 10.3 1
Problem
@A
rV
@t
@
1 qt
r
=
@t
40 r2
1 q
r
=
40 r2
E =
B = r A
1
1 @Ar 1
@Ar
=
+
r sin @
r
@
= 0
= 0 r E
r
q
=
r
4
r2
= q (r)
1
J
PHYS 436 HW8 Solution
April 3, 2012
Pro. 11.11
Problem
Eqn. 11.12 says
V (r, , t) =
p0 cos
40 r
!
sin ! t
c
r
c
+
1
cos ! t
r
r
c
Eqn. 11.17 says
A(r, , t) =
0 p 0 !
sin ! t
4r
r
c
z
Thus,
@V
p
PHYS 436 HW3 Solution
Chun Kit Chan
February 14, 2012
Pro. 9.7 1
Problem
(a) For a line segment
Then,
z with deformation f (z), the forces acting on it are
2
@ f
Frestoring = T 2
z
@z
@f
Fdissipatio
Physics 436
Homework 9
Solution
Due March 27, 2017
1. An electron with initial speed vi c approaches a distant repulsive Coulomb potential
!
Ze2
. The electron will travel in a straight line, decelera
PHYS 436 HW Solution
by Chun Kit Chan
March 2, 2012
Most of the values for the resistivity, conductivity and permittivity are taken from the wikipedia
and is taken to be approximately 0 . We should re
PHYS 436 HW4 Solution
by Chun Kit Chan
February 22, 2012
Problem
1
Pro. 9.16
Here x-z plane is the plane of incidence, I , R and T are the angle of incidence,
reflection and transmission respectively
PHYS 436 Homework 1 CHECKPOINT SHOW YOUR WORK!
#1) a) W =
Q2d
2 0 A
Q2d
b) W =
2 0 A
#2) a)
= j0 cos x
t
b) Hint: To know if charge is conserved, you must know the total charge in the system.
Physics 436
Homework 6
Due February 27, 2017
1. We saw in lecture that for the radial E, tangential B wave in a coaxial cable the current in
the center conductor (actually, in either conductor) equals
Physics 436
Homework 9
Due March 27, 2017
1. An electron with initial speed vi c approaches a distant repulsive Coulomb potential
!
Ze2
. The electron will travel in a straight line, decelerating unti
Physics 436
Due March 6, 2017
Homework 7
1. Recall that the resonant TE modes in a rectangular box are mnl = c
( ) +( ) +( )
m
a
2
n
b
2
l
d
2
1
2 ,
where a, b, and d are the box dimensions. There ar
Physics 436
Homework 2
Due January 30, 2017
Note: Problem 3 is worth 10 points.
1. Recall the boundary conditions on static E and B at an interface between two materials:
E !and!B are always continuou
Physics 436
Homework 4
Due February 13, 2017
1. Injection of light into an optical fiber.
source:&
shell:&ns#
Light from a source enters the end of a cylindrical fiber with
ni#
incident angle , as sho
Physics 436
Homework 1
Due January 23, 2017
This is review.
Each problem is worth five points. In this course, all HW problems will be have the same value
unless stated otherwise.
1. Electrostatic ene
Physics 436
Due February 6, 2017
Homework 3
Please look at the P435 introductory lectures on EM waves linked from the course syllabus page
if you need a refresher on EM waves.
1. Consider a plane wave
Physics 436
Homework 8
Due March 13, 2017
1. Consider the electric field of a point charge moving with constant velocity:
! !
R
1 2
q
E ( r ,t ) =
, where R is the vector from the present position of
PHYS 436 HW2 Solution
Chun Kit Chan
February 14, 2012
Pro. 8.71
Problem
The setting of the solenoid of this problem is given in Fig. 1
Figure 1: Setting of coordinates and parameters of the problem (F
Problem 1
(a) From the translational and rotational symmetry about z - axis, the vector potential A is
a function of s and t only. Thus (using the symbol R = r r0 and A (r, t) = A (s, t) here.)
0
A (s
PHYS 436 HW11
HW10 Solution
April 23, 2012
Pro. 12.181
Problem
(a) From Griths Eqn. 12.12, we have
t
x
y
z
=
=
=
=
t
x
y
z
vt
Thus, with
0 1
ct
B C
= B x C
X
@ y A
z
we can write
0
with
Text
and
1
0
Physics 436
Due April 3, 2017
Homework 10
Solution
Exam review:
1. A fairly easy (I hope!) potential exam problem.
What fraction of dipole radiation is emitted within 45 of the equatorial plane?
Just
Physics 436
Due March 6, 2017
Homework 7
Solution
1. Recall that the resonant TE modes in a rectangular box are mnl = c
( ) +( ) +( )
m
a
2
n
b
2
l
d
2
1
2 ,
where a, b, and d are the box dimensions.
Homework 4
Name_
Due in class: Fri, Sep 29
[Note: Any references to problem, example, or equation numbers refer to Griffiths 3rd
Edition]
Problem 1 (15 points)
Analyze the case of polarization
Physics 436
Homework 11
Due April 10, 2017
There are three problems for credit, plus two math review problems (not for credit).
1. This is a rejoinder to Griffiths 12.22b (p. 532), reproduced here:
b.
Physics 436
Due May 1, 2017
Homework 14
x"
1. Consider the parallel-plate capacitor shown.
The plates are infinite, so you dont need to
worry about fringe fields. The origin of the
coordinates is at t
Physics 436
April 4, 2017
Discussion 11
Solution
Exam review:
1. A perfectly conducting rectangular cavity has sides a < b < c (x, y, and z respectively).
a. What is the smallest resonant frequency of
Physics 436
Discussion 10
Solution
1. Griffiths, 11.10.
An insulating circular ring (radius b) lies in the xy plane, centered
at the origin. At t = 0, it carries a linear charge density, = 0 sin .
The