A very thin beam of protons is injected at non-relativistic
velocities in a circular particle accelerator of radius R. The
mass m and the charge e of the proton are known. The initial
current in the accelerator is I and the total number of
particles is n. The magnetic flux through the beam circuit
changes at a rate of p Wb/s, while the radius of the beam
track remains unaltered. What is the value of the current
after one turn of the particles?
emf = dflux/dt
The Attempt at a Solution
I'm not exactly sure if I have understood the problem correctly.
But here is what I have got so far:
emf = dflux/dt = p Volts
protons passing per second = I/e
since flux = BA, and A is constant, then B is changing.
B=(mv)/Rq, so v of the particles must be changing.
We are just learning about magnetic fields in class and I don't know how to put all the information together in this problems. I hope someone can at least point me in the right direction. Thanks!