Hi can anyone help me answer this question, I can't think of what to write:
In a particle accerlator called a synchroton, magnetic fields are used to control the motion of an electron so that it follows a circular path of fixed radius (i know this would probably require me to use either centripetal force of acceleration formula)
Describe the changes required in the magnetic field to accelerate an electron to near the speed of light. Support answer with appropriate mathematical relationships.
Thanks to anyone who is able to put any sort of input at all, any help is greatly appreciated.
Hey! So essentially what this question is asking is the method by which we can accelerate electrons, using a magnetic field. We know that the force due to a magnetic field is
Where B is the magnetic field strength. Obviously q is fixed (it's the charge of the electron), so we can only really vary the magnetic field strength. Now, if we apply a constant magnetic field (in terms of direction, at least), it will provide a centripetal force. So, we want the magnetic field to continuously be in the same direction, but we want to keep increasing it's strength.
How do we increase the strength of a magnetic field? Well, assuming that they are electromagnets, we would want to put more and more current through the wiring! Additionally, if we used superconductors, we would get a seriously strong field. You can really talk about whatever you want in a question like this; as you can see, I'm rambling, because I'm making up the answer as I go aha.
You could potentially discuss relativistic effects, such as mass dilation, as problematic, however that's just the icing on the cake