Hi all,
I have a question for all of you. I've been wanting to make a 3D vector field that would represent a magnetic field (for fun) around some segment of wire with a constant current flowing through it. I'm assuming I have a parametric equation for the wire segment. The one equation that comes to mind is BiotSavart's law:
[tex] \vec { B } =\frac { { \mu }_{ 0 }I }{ 4\pi } \int { \frac { d\vec { s } \times \hat { r } }{ { r }^{ 2 } } } [/tex]
In practice, I've only ever used BiotSavart's law to calculate in 2D, and either the wire segment has been of infinite length, or we were just calculating the electric field at onepoint, and the math has been nice. I want to generate a vector field that gives the magnetic field at all points around the wire. Does anyone know how to go about doing this ? What sorts of equations/techniques lend themselves to this ? Any nice examples people can point to (URLs) ?? Thank you.
