** Next:** Non-potential current flowing inside
** Up:** MHD Equilibrium Structures
** Previous:** MHD Equilibrium Structures

- Incompressible, irrotational flow

so that

- Electrostatics when and is constant
so that

and again

- Magnetohydrostatics when and is constant.
Again we have

Thus, the magnetic field may be expressed in terms of a scalar
potential as

These examples illustrate the importance of Laplace's equation.
Solutions to potential problems will be discussed in the next
section. However, before studying these problems, we consider the
situation where a non-zero current flows along a plasma cylinder.

*Prof. Alan Hood*

*2000-11-06*