Physics 362
Final Exam Solution Key
May 6, 2009
1. Solenoid and Permeable Sphere
(a) The solenoid generates a eld Bs = o nIs (z ) or Hs = nIs ez . Then, using a
e
result from the formula sheet which takes account of the demagnetizating eld for a
sphere, o
Physics 362
Final Exam
May 3, 2012
This exam contains six problems to be completed in less than two hours.
Write your solutions, clearly identifying your answers in your white books.
A formula sheet containing important results from lecture is provided wi
Physics 362
Final Exam
May 6, 2009
Write up your solutions to the following problems in a white examination
book. A formula sheet is provided for reference during the exam.
Each problem is weighted 15 points towards your total score (90 points
maximum). T
Physics 362
Prof. H.H. Williams
Homework #3
Due Thursday, February 6, 2014
Level one problems are denoted (I), Level two problems are denoted (II).
1
2
3
DJG Problems 5.24 (I), 5. 25 (I), 5. 26 (II), 5.34 (I), 5. 37 (I), 5.57 (II)
_
H3.P1 Near fields for
Physics 362 Midterm 1 Practice Exam 3
Prob 3. Griffiths 6.3a.
Dont use the formula 6.2, but derive the force by direct integration of
dF = I dl x B. Assume m2 has a radius a < r and a current I.
Physics 362
Midterm Exam
February 17, 2009
This exam contains three problems to be completed in less than 50 minutes. Write your solutions, clearly identifying your answers in your white
books. A formula sheet containing important results from lecture is
Physics 362
Midterm Exam Solution Key
February 17, 2009
1. Vector Potential of a Long Solenoid (20 points)
Solution
(a) Applying Amperes Law to a dierential rectangular loop with width w and negligible height that straddles the solenoid wall, one nds that
Physics 362
Midterm Exam Solutions
February 15, 2011
1. Vector potential for concentric opposing solenoids
(a) For a long solenoid with n turns per unit length and current per turn I the interior
eld is nearly constant o nI. Then in this geometry the eld
Physics 361
Summary of Results from Lecture
Physics 361/362
Derivatives of Scalar and Vector Fields
The gradient of a scalar field f (r) is given by g = f . Expressed in Cartesian
coordinates
g = ex
f
f
f
+ ey
+ ez
x
y
z
The dierential change in f produce
Physics 362
Homework Problems
Due: Thursday, January 28
DJG Problems DJG (4th edition): 5.6, 5.8, 5.111 , 5.14, 5.18, 5.432 , 5.50
H2.P1 Geometric Interpretation of the Biot-Savart Law
The Biot Savart Law gives the magnetic field at observation point r fr
Physics 362
Midterm Exam
February 12, 2013
This exam contains three problems to be completed in less than 75 minutes. Write your solutions, clearly identifying your answers in your white
books. A formula sheet containing important results from lecture is
Physics 362
Midterm Exam
February 14, 2012
This exam contains three problems to be completed in less than 75 minutes. Write your solutions, clearly identifying your answers in your white
books. A formula sheet containing important results from lecture is
Physics 362
Midterm Exam
February 15, 2011
This exam contains three problems to be completed in less than 75 minutes. Write your solutions, clearly identifying your answers in your white
books. A formula sheet containing important results from lecture is
Physics 362
Homework Problems
Due: Thursday, February 11
DJG Problems DJG (4th edition): 6.11 , 6.2, 6.32
H4.P1 Sum rule for a distributed steady current
Generalize the theorem for a steady current in a wire
I
Id = 0
to a steady volume current distributio
Physics 362
Homework Problems
Due: Thursday, February 4
DJG Problems DJG (4th edition): 5.21, 5.24, 5.251 , 5.30 2 , 5.34, 5.37(a)3 , 5.574
H3.P1 Near fields for the circular current loop
A circular loop with radius a carries a steady current I. Find the
Physics 362
Midterm Exam Solution Key
February 16, 2010
1. Field, Flux and Vector Potential (20 points)
(a) Since A = B, it follows that [] = T/m. Since 1T = 1N sec/C m, one has
that [] = kg/C m sec.
(b) A direct approach is to nd B = A and then J = (
pur
Name:_
Physics 362
Prof. Williams
Midterm 1 Exam
February 18, 2014
_
This exam contains three problems to be completed in less than 75 minutes. Write your solutions,
clearly identifying your answers in your white books. A formula sheet containing importan
Physics 362
Prof. H.H. Williams
Homework #3
Due Thursday, February 13, 2014
Level one problems are denoted (I), Level two problems are denoted (II).
1
2
3
DJG Problems 6. 1 (I), 6.7 (I), 6. 8 (I), 6. 21 (I)
_
H4.P1 Interior and exterior fields for a spinn
DWG 6.12 , 6.14, 6.16, 6.17 all Level 1
H5.P1 (I) A very long iron cylinder with permeability and radius R
extends along the x axis. It is immersed in a uniform magnetic field B0
which points in the z direction. Using the concept of magnetic scalar
potent
Physics 362 Homework #7 Due Thurs March 20
(Level II problems due Friday, March 21, 2:00PM)
DWG 7.221(I), 7.24(I), 7.37(I), 7.40(I)
1.
There are at least three different ways to evaluate the flux through the upper ring, some simpler than others.
You will