Classical Electrodynamics I
PHY 505
Fall 2010
Homework 3 with solutions
Problem 3.1 (to be graded of 15 points). Calculate the mutual
capacitance (per unit length) between two cylindrical conductors,
forming a system with the cross-section shown in Fig. o
Physics 505 Homework Assignment #8 Solutions Textbook problems: Ch. 5: 5.13, 5.14, 5.15, 5.16
Fall 2007
5.13 A sphere of radius a carries a uniform surface-charge distribution . The sphere is rotated about a diameter with constant angular velocity . Find
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Physics 505 Homework Assignment #5 Solutions Textbook problems: Ch. 3: 3.14, 3.26, 3.27 Ch. 4: 4.1
Fall 2005
3.14 A line charge of length 2d with a total charge Q has a linear charge density varying as (d2 z 2 ), where z is the distance from the midpoint.
Physics 505 Homework Assignment #6 - Due Thursday, October 27 Textbook problems: Ch. 4: 4.2, 4.6 a) and b), 4.7 a) and b), 4.8
Fall 2005
4.2 A point dipole with dipole moment p is located at the point x0 . From the properties of the derivative of a Dirac
Physics 505 Homework Assignment #7 Solutions Textbook problems: Ch. 4: 4.10 Ch. 5: 5.3, 5.6, 5.7
Fall 2005
4.10 Two concentric conducting spheres of inner and outer radii a and b, respectively, carry charges Q. The empty space between the spheres is half-
Physics 505 Homework Assignment #8 Solutions Textbook problems: Ch. 5: 5.10, 5.14, 5.17, 5.19
Fall 2005
5.10 A circular current loop of radius a carrying a current I lies in the x-y plane with its center at the origin. a) Show that the only nonvanishing c
Physics 505 Homework Assignment #9 Solutions Textbook problems: Ch. 5: 5.20, 5.22, 5.26 Ch. 6: 6.1 5.20
Fall 2005
a) Starting from the force equation (5.12) and the fact that a magnetization M inside a volume V bounded by a surface S is equivalent to a vo
Physics 505 Practice Final
Fall 2007
The nal will be a three hour open book, open notes exam. Do all four problems. 1. Two point charges q and q are located on the z axis at z = +d/2 and z = d/2, respectively. a) If the charges are isolated in space, show
Physics 505 Practice Final Solutions
Fall 2007
This nal will be a three hour open book, open notes exam. Do all four problems. 1. Two point charges q and q are located on the z axis at z = +d/2 and z = d/2, respectively. a) If the charges are isolated in
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Physics 505 Homework Assignment #9 Solutions Textbook problems: Ch. 5: 5.19, 5.21, 5.22, 5.27
Fall 2007
5.19 A magnetically hard material is in the shape of a right circular cylinder of length L and radius a. The cylinder has a permanent magnetization M0
Physics 505 Midterm Solutions
Fall 2007
This midterm is a two hour open book, open notes exam. Do all three problems. [30 pts] 1. Consider a two-dimensional problem dened in the region between concentric circles of radii a and b.
a
b
[10]
a) Using polar c
Physics 505 Practice Midterm
Fall 2007
The midterm will be a two hour open book, open notes exam. Do all three problems. 1. A rectangular box has sides of lengths a, b and c
z
c a x b
y
a) For the Dirichlet problem in the interior of the box, the Greens f
Physics 505 Practice Midterm Solutions
Fall 2007
This midterm will be a two hour open book, open notes exam. Do all three problems. 1. A rectangular box has sides of lengths a, b and c
z
c a x b
y
a) For the Dirichlet problem in the interior of the box, t
Physics 505
Fall 2007
Homework Assignment #1 Due Thursday, September 13 Textbook problems: Ch. 1: 1.5, 1.7, 1.11, 1.12 1.5 The time-averaged potential of a neutral hydrogen atom is given by = q 4 er r 1+ r 2 0
where q is the magnitude of the electronic ch
Physics 505
Fall 2007
Homework Assignment #2 Due Thursday, September 20 Textbook problems: Ch. 1: 2.2, 2.8, 2.10, 2.11 2.2 Using the method of images, discuss the problem of a point charge q inside a hollow, grounded, conducting sphere of inner radius a.
Physics 505
Fall 2007
Homework Assignment #3 Due Thursday, September 27 Textbook problems: Ch. 2: 2.14, 2.15, 2.22, 2.23 2.14 A variant of the preceeding two-dimensional problem is a long hollow conducting cylinder of radius b that is divided into equal q
Physics 505 Homework Assignment #4 Due Thursday, October 4 Textbook problems: Ch. 3: 3.1, 3.2, 3.4, 3.7
Fall 2007
3.1 Two concentric spheres have radii a, b (b > a) and each is divided into two hemispheres by the same horizontal plane. The upper hemispher
Physics 505 Homework Assignment #5 Due Thursday, October 11 Textbook problems: Ch. 3: 3.13, 3.17, 3.26, 3.27
Fall 2007
3.13 Solve for the potential in Problem 3.1, using the appropriate Green function obtained in the text, and verify that the answer obtai
Physics 505 Homework Assignment #6 Due Thursday, October 25 Textbook problems: Ch. 4: 4.1, 4.7, 4.8, 4.9
Fall 2007
4.1 Calculate the multipole moments qlm of the charge distributions shown as parts a) and b). Try to obtain results for the nonvanishing mom
Physics 505 Homework Assignment #7 Due Thursday, November 1 Textbook problems: Ch. 5: 5.4, 5.7, 5.8, 5.9
Fall 2007
5.4 A magnetic induction B in a current-free region in a uniform medium is cylindrically symmetric with components Bz (, z) and B (, z) and