# B, H fields due to a magnetized material everywhere

1. Jan 31, 2010

### AxiomOfChoice

If we consider a material with uniform magnetization $$\vec M$$, what are the $$\vec B$$ and $$\vec H$$ fields everywhere in the magnetic material? My first inclination is to say that $$\vec H = 0$$ since there are no free currents and that therefore $$\vec B = \mu_0 \vec M$$ everywhere, but I can think of situations where there's no free current but there's still an $$\vec H$$ field (e.g., inside and outside a uniformly magnetized sphere), so I'm probably wrong.