(a) Derive an expression for the maximum kinetic energy acquired by a charged…

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

(a) Derive an expression for the maximum kinetic energy

K_{\max}

acquired by a charged particle of charge

q

and mass

m

when it emerges from a cyclotron of magnetic field strength

B

and dee radius

R

. Express your answer in terms of

q

B

R

and

m

only. (b) A cyclotron meant for medical isotope production has

B = 1.5\,\text{T}

and

R = 0.35\,\text{m}

. Calculate the exit kinetic energy (in MeV) of protons accelerated in this machine.