Help with understanding of magnetic fields related to moving electrons

[Krejuski]

Hello all,

I am in need of understanding of magnetic fields. More specifically i was wondering exactly why there is a magnetic field around a wire with current moving through it. Where i am going with this is.. if i had plasma contained, and i managed to get it moving in the container, would there be a magnetic field around the moving plasma similar to a moving current?

 

[WannabeNewton]

I'm not sure in what sense you are using the word "why". The presence of the stationary current along the wire must produce a non-vanishing $B$ field solving Ampere's Law for magnetostatics $\nabla \times B = \mu_{0}j$.