
AIMS Maxwell 2021
Consider the magnetic field
\[
\vec{B}(s,\phi,z)=
\begin{cases}
0&0\le s<a\\
\alpha \frac{1}{s}(s^4a^4)\, \hat{\phi}&a<s<b\\
0&s>b
\end{cases}
\]
 (2pts) Use step and/or delta functions to write this magnetic field as a single
expression valid everywhere in space.
 (4pts) Find a formula for the current density that creates this magnetic field.
 (2pts) Interpret your formula for the current density, i.e. explain briefly in words where the
current is.