A beam of protons traveling at 1.20 km/s enters a uniform

Chapter 27, Problem 24E

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QUESTION:

A beam of protons traveling at \(1.20 \mathrm{~km} / \mathrm{s}\) enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to its original direction (Fig. E27.24). The beam travels a distance of 1.18 cm . What is the magnitude of the magnetic field?

Equation Transcription:

Text Transcription:

1.20 km/s

Questions & Answers

QUESTION:

A beam of protons traveling at \(1.20 \mathrm{~km} / \mathrm{s}\) enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to its original direction (Fig. E27.24). The beam travels a distance of 1.18 cm . What is the magnitude of the magnetic field?

Equation Transcription:

Text Transcription:

1.20 km/s

ANSWER:

Step 1 of 2

The expression for magnetic field in this question can be calculated by using the equation …..(1), where m is the mass of the proton, v is the speed of proton, q is the charge of a proton and r is the radius of the circular path.

           Given,

           Mass of proton

           Charge of proton

Now, the beam travels 1.18 cm in the magnetic field. If it has to travel a whole circular path, total distance traveled would be

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