Electricity and Magnetism I (P331)
Homework 8
Due: Friday, December 11, 4:00 PM
The nal exam will be Friday, December 18 from 12:30 PM - 2:30 PM in Swain West 219.
1. In 1996 astronauts on the space shuttle Columbia did an interesting experiment to test a
Electricity and Magnetism I (P331)
Homework 8
Due: Wednesday, November 18, 4:00 PM
The next exam will be Friday, November 20 in class.
1. Youve probably seen the demonstration device pictured below. Permanently magnetized rings (donuts)
are free to move u
Electricity and Magnetism I (P331)
Homework 8
Due: Wednesday, November 11, 4:00 PM
1. Suppose that in a region of space the vector potential is given by A = k . What is the current density?
2. At the surface of the Earth, the magnetic eld of the Earth is
Electricity and Magnetism I (P331)
Homework 7
Due: Wednesday, November 4, 4:00 PM
1. A Hall probe is a device for measuring magnetic elds. In a typical device a current I ows in a ribbon
of n-type doped semiconductor located in the magnetic eld. In an n-t
Electricity and Magnetism I (P331)
Homework 6
Due: Wednesday, October 21, 4:00 PM
The next exam will be Friday, October 23 in class.
1. Two concentric conducting spherical shells, with radii a and 2a, have charge +Q and Q respectively.
The space between t
Electricity and Magnetism I (P331)
Homework 5
Due: Thursday, October 15, 4:00 PM
1. (a) Show that the electric eld of a pure dipole can be written in a coordinate-free form as
E(r) =
11
[3(p ) p] .
rr
4 0 r3
(1)
(b) Show that the energy of an ideal dipole
Electricity and Magnetism I (P331)
Homework 4
Due: Wednesday, October 7, 4:00 PM
1. Two semi-innite conducting planes meet at at a 60 angle. A charge +q is placed in the narrow gap
between the planes along the bisector of the 60 angle. Assuming you want t
Electricity and Magnetism I (P331)
Homework 3
Due: Wednesday, September 23, 4:00 PM
The rst exam will be Friday, September 25 in class. It will cover primarily Chapter 2 in the Griths
text. Chapter 1 contains necessary mathematical background.
1. Imagine
Electricity and Magnetism I (P331)
Homework 2
Due: Wednesday, September 16, 4:00 PM
1. Find the magnitude of the electric eld at a distance z above a circular loop of charge Q and radius a.
1
r
r
Compute the electric eld by directly integrating over the c
Electricity and Magnetism I (P331)
Homework 1
Due: Wednesday, September 9, 4:00 PM
1. Determine the angle between the diagonal of a cube and an adjacent edge. Hint: use the unit
cube the diagonal is given by x + y + z.
2. (a) Prove that |A B| is equal to
Electricity and Magnetism I (P331) M. R. Shepherd October 14, 2008
Differential Equations
The purpose of this note is to provide some supplementary background on differential equations. The problems discussed below deal largely with those we have encounte
Electricity and Magnetism I (P331) M. R. Shepherd October 31, 2008
The moving capacitor
Today in lecture we worked out both the magnetic and electric pressures on the plate of a capacitor due to the other plate. At the end of class I tried to qualitativel
Electricity and Magnetism I (P331) M. R. Shepherd October 17, 2008
A capacitor with a non-uniform dielectric
Consider a parallel-plate capacitor filled with non-uniform dielectric. The dielectric is still linear, in other words, P = 0 e E, but this time e
Electricity and Magnetism I (P331) M. R. Shepherd September 12, 2008
Application of Gauss' Law to infinite line of charge
The integral form of Gauss' Law, E da = Qenc
0
,
(1)
can be particularly useful for determining the electric field produced by variou
Electricity and Magnetism I (P331) M. R. Shepherd September 3, 2008
1
1.1
1.1.1
Vector Calculus
Notation
Denoting a vector
Throughout the text vectors are typically noted in boldface upright characters. For example, the vector electric field is given by E