Physics 505 Homework Assignment #4 Solutions 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 hemisphere of the inner
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 #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 Homework Assignment #10 Solutions Textbook problems: Ch. 6: 6.3, 6.4, 6.14, 6.18
Fall 2005
6.3 The homogeneous diusion equation (5.160) for the vector potential for quasistatic elds in unbounded conducting media has a solution to the initial
Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 8 Maximal score: 25 Points
Fall 2003
1. Jackson, Problem 5.10
9 Points
a): In cylindrical coordinates, the 3D current density of a loop current I with radius a in the plane z = 0 centered
Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 9 Maximal score: 25 Points
Fall 2003
1. Jackson, Problem 5.22
6 Points
Hints given: Consider the result of the previous homework problem 5.19 and the discussion in Sec. 5.14 of Jackson to
Physics 505 Homework Assignment #11  Solutions Textbook problems: Ch. 7: 7.3, 7.5, 7.8, 7.16
Fall 2005
7.3 Two plane semiinfinite slabs of the same uniform, isotropic, nonpermeable, lossless dielectric with index of refraction n are parallel and separat
Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 7 Maximal score: 25 Points
Fall 2003
1. Jackson, Problem 5.1 Consider the ith cartesian component of the BField,
6 Points
4 B(x) xi 0 I
= = = = =
= = = = =
(x x ) x x  1 xi dl x x x 
Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 6 Maximal score: 25 Points
Fall 2003
1. Jackson, Problem 4.1 a): The charge distribution is (x) = and thus
(x)rl Ylm (, )d3 x =
6 Points
q 3 ) (r a)(cos ) () + ( + ) ( ) ( + r2 2 2
qlm =
Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 10 Maximal score: 30 Points
Fall 2003
1. Jackson, Problem 6.8
6 Points
Strategy. We rst calculate the volume and surface charge densities that correspond to the electric polarization of th
Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 5
Fall 2003
Problem 1
7 Points
A cylindrical surface with radius a and infinite length in the zdirection carries a surface potential V (z, ). Find a series solution for the potential anyw
Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 3
Fall 2003
Problem 2.7 a): Green's function: Using cartesian coordinates x = (x, y, z), it is 1 (x  x )2 + (y  y )2 + (z  z )2 1 (x  x )2 + (y  y )2 + (z + z )2
5 Points
G(x, x ) =

Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 4
Fall 2003
Problem 2.13
5 Points
a): First, note that due to the the superposition principle the problem is equivalent to the sum of a constant potential V1 +V2 and a problem of two half
Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 2
Fall 2003
Problem 1.17
5 Points
a): There are n conductors with surfaces Si , potentials Vi and charges Qi (i = 1, ., n). Assume that there is only one conductor with nonzero potential.
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 xy plane with its center at the origin. a) Show that the only nonvanishing c
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 #3 Solutions Textbook problems: Ch. 2: 2.14, 2.15, 2.22, 2.23
Fall 2007
2.14 A variant of the preceeding twodimensional problem is a long hollow conducting cylinder of radius b that is divided into equal quarters, alternat
Physics 505 Homework Assignment #1 Solutions Textbook problems: Ch. 1: 1.5, 1.7, 1.11, 1.12 1.5 The timeaveraged potential of a neutral hydrogen atom is given by = q 4 r er 1+ r 2 0
Fall 2007
where q is the magnitude of the electronic charge, and 1 = a0
Physics 505 Homework Assignment #2 Solutions Textbook problems: Ch. 2: 2.2, 2.8, 2.10, 2.11
Fall 2007
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. Find a) the poten
Physics 505 Homework Assignment #3 Solutions Textbook problems: Ch. 2: 2.12, 2.13, 2.15 Ch. 3: 3.1
Fall 2005
2.12 Starting with the series solution (2.71) for the twodimensional potential problem with the potential specied on the surface of a cylinder of
Physics 505 Homework Assignment #5  Solutions 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 obtained in this w
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 surfacecharge distribution . The sphere is rotated about a diameter with constant angular velocity . Find
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 Homework Assignment #11  Solutions Textbook problems: Ch. 7: 7.3, 7.4, 7.6, 7.8
Fall 2007
7.3 Two plane semiinfinite slabs of the same uniform, isotropic, nonpermeable, lossless dielectric with index of refraction n are parallel and separate
Physics 505 Homework Assignment #10 Solutions Textbook problems: Ch. 6: 6.1, 6.4, 6.13, 6.18
Fall 2007
6.1 In three dimensions the solution to the wave equation (6.32) for a point source in space and time (a light ash at t = 0, x = 0) is a spherical shell
Physics 505 Homework Assignment #1 Solutions Textbook problems: Ch. 1: 1.4, 1.5, 1.10, 1.14
Fall 2005
1.4 Each of three charged spheres of radius a, one conducting, one having a uniform charge density within its volume, and one having a spherically symmet
Physics 505 Homework Assignment #2 Solutions
Fall 2005
Textbook problems: Ch. 2: 2.3, 2.4, 2.7, 2.10
2.3 A straightline charge with constant linear charge density is located perpendicular to the xy plane in the rst quadrant at (x0 , y0 ). The intersecti
Physics 505 Homework Assignment #4 Solutions
Fall 2005
Textbook problems: Ch. 3: 3.4, 3.6, 3.9, 3.10
3.4 The surface of a hollow conducting sphere of inner radius a is divided into an even number of equal segments by a set of planes; their common line of
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
Phys. 505
Electricity and Magnetism Prof. G. Raithel Problem Set 1
Fall 2003
Problem 1.3
5 Points
a): By symmetry, the solution must be of the form (x) = (r) = Q(r R)f , with a constant f to be specied by the condition
Q=
Q(rR) 4R2
(r)4r2 dr =
Q(r R)f 4r2