The magnetic field in a hospital's cyclotron is 0.50 T. Find the magnitude of the magnetic force

Name: Problem 25, Chapter 19: Physics
Uploaded: 2021-05-09T18:56:16-08:00
Duration: 2 min 16 s
Channel: Noor Aldeen Almusleh
Description: The magnetic field in a hospital's cyclotron is 0.50 T. Find the magnitude of the magnetic force on a proton with speed 1.0 ×10^7 m / s moving in a plane perpendicular to the field.

step 1 In this question we have an electron that is moving inside a magnetic field. So the chart of the

Question

The magnetic field in a hospital's cyclotron is $0.50 \mathrm{T}$. Find the magnitude of the magnetic force on a proton with speed $1.0 \times 10^{7} \mathrm{m} / \mathrm{s}$ moving in a plane perpendicular to the field.

   The magnetic field in a hospital's cyclotron is $0.50 \mathrm{T}$. Find the magnitude of the magnetic force on a proton with speed $1.0 \times 10^{7} \mathrm{m} / \mathrm{s}$ moving in a plane perpendicular to the field.

Physics

Robert Coleman… 5th Edition

Chapter 19, Problem 25

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Solved by Expert Noor Aldeen Almusleh

05/09/2021

Step 1

The charge of the proton is $q = 1.6 \times 10^{-19} \, \mathrm{C}$, the speed of the proton is $v = 1.0 \times 10^{7} \, \mathrm{m/s}$, and the magnetic field strength is $B = 0.50 \, \mathrm{T}$. Show more…

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The magnetic field in a hospital's cyclotron is $0.50 \mathrm{T}$. Find the magnitude of the magnetic force on a proton with speed $1.0 \times 10^{7} \mathrm{m} / \mathrm{s}$ moving in a plane perpendicular to the field.

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Key Concepts

Lorentz Force

This principle defines the force experienced by a charged particle moving in a magnetic field. The formula F = qvB sin? shows that the force depends on the particle's charge (q), its velocity (v), the magnetic field strength (B), and the sine of the angle (?) between the velocity and the magnetic field vectors.

Charged Particle Dynamics

This area deals with how particles with charge behave when subjected to electromagnetic forces. In a magnetic field, the force acts perpendicular to the particle's velocity, often causing circular or helical motion, which is the fundamental mechanism behind many particle accelerators.

Magnetic Field

A magnetic field is a vector field that exerts a force on moving electric charges. Its strength and direction are critical in determining the magnitude and direction of the magnetic force on any charged particle interacting with it.

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