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 s
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
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 quasi-static elds in un
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 lo
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 prob
Physics 505
Electricity and Magnetism Prof. G. Raithel Problem Set 7 Maximal score: 25 Points
Fall 2003
1. Jackson, Problem 5.1 Consider the i-th cartesian component of the B-Field,
6 Points
4 B(x) xi
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 Po
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 densi
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 z-direction carries a surface potential
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
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
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 th
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 cen
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 a
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 two-dimensional problem is a long hollow conducting cylinder of
Physics 505 Homework Assignment #1 Solutions 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 r er 1+ r 2 0
Fall 2007
where q
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,
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 two-dimensional potential problem wit
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
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
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 r
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
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
Physics 505 Homework Assignment #2 Solutions
Fall 2005
Textbook problems: Ch. 2: 2.3, 2.4, 2.7, 2.10
2.3 A straight-line charge with constant linear charge density is located perpendicular to the x-y
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 e
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
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 specie