A cyclotron particle accelerator (sometimes called an atom smasher in the popula

Question

A cyclotron particle accelerator (sometimes called an atom smasher in the popular press) is a device for accelerating charged particles, such as electrons and protons, to speeds close to the speed of light. The basic design is quite simple. The particle is bent in a circular path by a uniform magnetic field. An electric field is pulsed periodically to increase the speed of the particle. .The largest cyclotron in the United States is the Tevatron at Fermilab, near Chicago, Illinois. It is called a Tevatron because it can accelerate particles to energies in the TeV range (1.00tera ?eV = 1.001012eV ). Its circumference is 6.40km , and it currently can produce a maximum energy of 2.00TeV . In a certain medical experiment on the Tevatron, protons will be accelerated to energies of 1.25MeV and aimed at a tumor to destroy its cells.

How strong must the magnetic field be to bend the protons in the circle indicated?

Please Explain

Explanation / Answer

kientic energy= 1.25Mev= 1.25x106(1.6x10-19)=2x10-13 j

1/2 mv2=k

1/2 (1.672x10-27)v2= 2x10-13

v= 1.55x107m/s

circumfrence= 6.4 km=6400m

2 pi r= 6400

r=1019 m

now mv2/r= q vB

B=mv/qr

B= 1.672x10-27*1.55x107/(1.6x10-19*1019)

B=1.58x10-4T

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