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Q. 28

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

Radio astronomers detect electromagnetic radiation at 45 MHz from an interstellar gas cloud. They suspect this radiation is emitted by electrons spiraling in a magnetic field. What is the magnetic field strength inside the gas cloud?

The magnetic field strength inside the gas cloud

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Step by Step Solution

Introduction

The given is the Radio astronomers detect electromagnetic radiation at from an interstellar gas cloud

The objective to find the magnetic field strength inside the gas cloud

The method used here is cyclotron motion to find the magnetic field

Step 1

The cyclotron motion is defined as a particle travelling in a uniform circular motion perpendicular to the magnetic field at a constant speed. The magnetic field causes the circular motion to produce a circular frequency, which is given by equation in the form

Where denotes the particle's charge, the magnetic field, and the particle's mass. The frequency is determined by the magnetic field, not the particle's velocity, as indicated by equation . We rewrite equation so that is in the form

Step 2

Now we plug in the electron's , , and values to get .

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