Question

The Magnetic Field in a Cyclotron is 1.21 T, and the maximum
orbital radius of the circulating protons is 0.41 m

(a) What is the kinetic Energy in Joules (J) of the protons when they are ejected from the Cyclotron?

(b) What is the energy in MeV?

(c) Through what potential difference (in MV) would a proton have to be accelerated to acquire this Kinetic energy?

(d) What is the period (in s) of the voltage source used to accelerate the protons?

(e) Repeat the calculations for Alpha-Particles

Kinetic Energy (J)

Kinetic Energy (MeV)

Potential Difference (in MV)

Period (in s)

Answer #1

A cyclotron used to accelerate protons has a uniform magnetic
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(Include 2 digit after the decimal point and maximum of 5% of error
is accepted in your answer. Take elementary charge 1.6 x 10
-19 C, mass of proton 1.67 x 10 -27 kg and 1
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MHz
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MeV
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MHz
maximum kinetic energy
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