Vectorial equation of the Magnetic Field of a particle?

I'm trying to find a vectorial equation of Magnetic Field independent of the magnetic force or the acceleration and the mass for one particle. The same type of equation for Magnetic Field as these two are for the Electric and Gravitational... show more I'm trying to find a vectorial equation of Magnetic Field independent of the magnetic force or the acceleration and the mass for one particle.
The same type of equation for Magnetic Field as these two are for the Electric and Gravitational Field:
http://img18.imageshack.us/img18/8053/co...
http://img832.imageshack.us/img832/7431/...
Thanks.
Update: I feared that...
Is there any ideally simple equation, that relates the magnetic field vector to certain current variation, magnet or something similar?
Update 2: I'm not trying to solve a problem.
I'm just trying to define the magnetic field vector in the simplest way possible that let's me understand and predict most of the stuff related to magnetic forces.
3 answers 3