Introduction to Electrodynamics · Problem 5.26

Magnetic Fields in Matter — David J. Griffiths

Physics · magnetic-vector-potential

Problem

(a) By whatever means you can think of (short of looking it up), find the vector potential a distance

s

from an infinite straight wire carrying a current

I

. Check that

\nabla \cdot \mathbf{A} = 0

and

\nabla \times \mathbf{A} = \mathbf{B}

. (b) Find the magnetic potential inside the wire, if it has radius

R

and the current is uniformly distributed.