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\begin{center}
\textbf{Phys 742}

\textbf{Electricity and Magnetism I}

\textsc{Spring 1996}
\end{center}

\paragraph{Instructor:}

V. Celli, Physics 311D, Tel. 924-6573 (Phys Dept:\ 612), email:
vc@virginia.edu.

\paragraph{Grader:}

Hui Wang, Physics B14, Tel. 924-6591, email: hw8g@virginia.edu

\paragraph{Time and Location:}

T, Th 11:00 - 12:15, Physics 205.

\paragraph{Office Hours:}

Monday and Tuesday, 1:30 - 3:00

\paragraph{Textbook:}

\textit{Classical Electricity and Magnetism}, 2nd ed., J.D. Jackson.

\paragraph{Material:}

Chapters 1 to 7 (Electrostatics, Magnetism, Maxwell equations).

Notes and homework solutions on reserve shelf in Physics Library.

\paragraph{Grading:}

\ There will be homework assignments, two in-class tests and a final. They
will count toward the grade as follows. 
\[
\ 
\begin{array}{ll}
\rm{Homework} & \rm{30\%} \\ 
\rm{In-class tests (15\% each)} & \rm{30\%} \\ 
\rm{Final} & \rm{40\%.}
\end{array}
\]

\paragraph{Exams:}

The first in-class test will be on Thursday, February 29 and will relate to
material in chapters 1 - 3.

The second in-class test will be on Thursday, April 4 and will relate to
material in chapters 4 - 5.

The final exam will be as follows: half the questions will relate to
chapters 6 - 7, the rest could relate to any chapter, or to combined
material from several chapters.

No books or notes allowed on the in-class tests and final exam.

Homework assignments will be handed out every Thursday (except when there is
an in-class test) and will be due by class time the following Tuesday. They
are not pledged. A 10\% per day penalty will be applied to any part of the
homework that is handed in late without justification. No-penalty extensions
can be requested for good reasons, including other pressing academic
requirements.

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\textsc{Approximate Schedule and Topics}
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The relation of dates to topics given below is approximate, corrections will
be applied as needed during the semester.

\smallskip\ 

Chapter 1

1/18 --- Coulomb's law, electric field, gaussian and MKS units

1/23 --- Electrostatic potential. Gauss's law. Fields of line and surface
charges

1/25 --- Electrostatic energy. Green's identities. Uniqueness theorems.

2/1 --- Capacitance and capacitors. Examples

Chapter 2

2/6 --- The method of images. Examples

2/8 --- Fourier series and their use in electrostatics. Edges and corners

2/13 --- Complex variable methods for two-dimensional problems (not in
Jackson).

Chapter 3

2/15 --- Legendre polynomials and spherical harmonics.

2/20 --- Bessel functions. Green function expansions.

2/22 --- The ring, the disk, the round hole and other examples.

Chapter 4

2/27 --- Multipole fields. Molecular polarizability.

\textsf{2/29 --- In-class test 1}

3/5 --- Fields in dielectric media. Boundary conditions

3/7 --- Boundary value problems with dielectrics.

3/12 --- Spring recess

3/14 --- Spring recess

Chapter 5

3/19 --- Ohm's law and boundary value problems with currents

3/21 --- Amp\`{e}re's laws, the magnetic field and the vector potential

3/26 --- Current loops and magnetic moments. Magnetized media.

3/28 --- The magnetized sphere and other boundary value problems in magnetism

Chapter 6

4/2 --- Faraday's law. Magnetic energy. Inductance

\textsf{4/4 --- In-class test 2}

4/9 --- Maxwell's equations. Gauge freedom and gauge choice.

4/11 --- Maxwell's equations in matter. Boundary conditions.

4/16 --- Poynting's theorem. Electromagnetic energy and stresses

Chapter 7

4/18 --- Electromagnetic waves. Green's functions for the wave equation.

4/23 --- Plane waves. Polarization. Reflection and refraction.

4/25 --- Frequency-dependent response of dielectrics and conductors.

4/30 --- Dispersion. Kramers-Kronig relations.

\smallskip\ 

\textsf{5/6 --- Final exam (9:00 am)}

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