%% This document created by Scientific Word (R) Version 2.0
%% Starting shell: article


\documentclass[12pt]{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%TCIDATA{TCIstyle=Article/art4.lat,lart,article}

\addtolength{\topmargin}{-0.8in}
\addtolength{\oddsidemargin}{-0.5in}
\addtolength{\textheight}{1.2in}
\addtolength{\textwidth}{1in}
\thispagestyle{empty}

\begin{document}


\begin{center}
\textbf{Phys 742 -- Assignment 7 -- Due 2 April 96}\ 
\end{center}

\noindent \textbf{1.}

Jackson's problem 5.7

\smallskip\ 

\noindent \textbf{2.}

Solve the boundary-value problem for a (type I) superconducting sphere of
radius \textit{a} ni an external magnetic field $\mathbf{B}_0.$ What is the
magnetization $\mathbf{M}$ in the sphere? What is the induced dipole moment $%
\mathbf{m}$ (in magnitude and direction)?

The magnetization is equivalent to a surface current $\mathbf{K}$, which in
this case is a real persistent surface current. Find the components of $%
\mathbf{K}$ as a function of suitably chosen angles $\theta $ and $\phi .$

Find a vector potential $\mathbf{A}$ that describes the total $\mathbf{B}$
outside the sphere.

\smallskip\ 

\noindent \textbf{3.}

Jackson's problem 5.10

\smallskip\ \ 

\noindent \textbf{4.}

A long hollow cylinder of inner radius \textit{a}, outer radius \textit{b},
 
and of magnetic permeability $\mu$ is placed in a region of initial 
magnetic-flux density $\mathbf{B}_0$, at right angles to the field. 
Determine the screening factor, defined as the ratio between the field 
inside the cavity and $B_0.$

\end{document}
