A cyclotron howing magnetic field60.75 X 10^-3T is used to acceleraetea beam of protons over a regionof radius 7.20 m. Find the kineticenergy of the protons.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter13: Electromagnetic Induction
Section: Chapter Questions
Problem 13.8CYU: Check your Understanding Themagneticfield shown below Is confined to the cylindrical region shown...
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A cyclotron howing magnetic field
60.75 X 10^-3T is used to acceleraete
a beam of protons over a region
of radius 7.
20 m. Find the kinetic
energy of the protons.

Expert Solution
Step 1

The formula for the magnetic force acting on a proton if the proton is moving perpendicular to the magnetic field is:

Physics homework question answer, step 1, image 1
Step 2

The motion is a circular motion. Therefore, the formula for the centripetal force acting on the proton is:

Physics homework question answer, step 2, image 1
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