University Physics (14th Edition)
University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
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Chapter 27, Problem Q27.1DQ

Can a charged particle move through a magnetic field without experiencing any force? If so, how? It not, why not?

Expert Solution & Answer
Check Mark
To determine
Whether a charged particle moves through the magnetic field without experiencing the force.

Answer to Problem Q27.1DQ

Yes, the charged particle can move through magnetic field without experiencing any magnetic force.

Explanation of Solution

A charged particle experiences magnetic force when the velocity and magnetic field are at right angle. The charged particle experiences zero magnetic force when the particle moves along the direction of magnetic field i.e., the velocity and the magnetic field are at parallel or antiparallel direction to each other.

Formula to calculate force is,

F=qvBsin(ϕ)

If the charged particle moves in the direction of magnetic field, then the angle (ϕ) becomes 0° .

Substitute 0° for ϕ .

F=qvBsin(0°)=0

Therefore, the force becomes zero if magnetic field and the velocity are in parallel direction or in antiparallel direction to each other.

Conclusion: Yes, the charged particle can move through magnetic field without experiencing any magnetic force.

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Chapter 27 Solutions

University Physics (14th Edition)

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