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 :)

 

[Graeme Robinson]

The relationship between magnetic field change and velocity change of a particle is not necessarily linear. It depends on the specific circumstances and the laws of physics governing the system. In general, the magnetic field is proportional to the velocity of the charged particle, but the relationship may not be strictly linear.

In the scenario of X number of negatively charged particles revolving uniformly in a ring with radius R, there will be a magnetic field at the center of the ring due to the motion of the charged particles. As the velocity of the particles changes from 0% of c to 75% of c, there will be a change in the magnetic field strength at the center of the ring. However, the relationship between the two may not be linear. It may depend on factors such as the distribution of the charged particles, the strength of the magnetic field, and the laws of motion governing the particles.

In conclusion, the linear relationship between magnetic field change and velocity change of a particle is not always applicable and may vary depending on the specific circumstances. It is important to consider the underlying physics principles when studying the relationship between these two variables.