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## Homework Statement

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?

## Homework Equations

I=q/t

emf = dflux/dt

R=(mv)/qB

## 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!