Is the magnetic field change linear with the velocity change of a particle?

[carl fischbach]

I have a question,if you have X number of
negatively charged particles revolling uniformaly in a ring with radius
R, is there linear change in magnetic field strength at the center
of the ring with respect to velocity change in the
charged particles, when the particles velocity
is changed from o% of c to 75% of c?

 

[Moni]

I am not sure! may be Magnetic field is the function of the Velocity of the particle and if so of course it changes :)