A stationary charge does not produce a magnetic field, while a uniformly moving charge does, as per the Lorentz transformation. Observers in different frames will perceive the magnetic field differently; a person running with a charge will not detect its magnetic field, but a stationary observer will. The magnetic field exists as long as the charge is in motion, regardless of whether it is accelerating. The strength of the magnetic field is directly proportional to the speed of the moving charge. Both the magnetic and electric fields are influenced by the motion of the charge, but they do not affect each other.