# Boundary conditions on magnetostatic

1. May 18, 2008

### cubates

Hi

I'm trying to solve a magnetostatic problem and I'm not sure which boundary conditions must be applied to the magnetic vector potential (A) on magnetostatic problems?

2. Jul 5, 2008

### springBreeze

Your boundary conditions will depend on your particular problem. Across a surface current (K) the boundary conditions are that the vector potential (A) above the current sheet is equal to vector potential below sheet. However, the derivative of A has a discontinuity:

$$\partial A_{above}/ \partial n - \partial A_{below}/\partial n = -\mu_0 K$$

where n is a direction perpendicular to the plane. This article might prove to be useful to you: