Concept explainers
The trajectory that a positive ion would follow moving in a magnetic field.
Answer to Problem 4PP
The ion will follow helical path.
Explanation of Solution
Introduction:
Magnetic field is a region which defines the magnetic effect of electrical charges and magnetized materials in relative motion. When a charged particle or a
When a charged particle moves in a magnetic field, the magnetic force on a charged particle
The magnetic force is given by:
Here,
If the charge is moving parallel to the field
Substitute
Therefore, the force experienced by the charged particle will be zero and the motion of the particle will remain non-deflected.
When charged particles moving perpendicular to magnetic fields, then the angle between the direction of velocity and magnetic field is
Substitute
In this case, trajectory will be circular.
Again,
If the magnetic field varies with time then the positive charge vector will become a resulting vector of two velocity components. In this case the ion’s trajectory will be helical.
Conclusion:
Hence, the trajectory of the ion in a magnetic where magnetic field is changing linearly with time will be helical path.
Chapter 26 Solutions
Glencoe Physics: Principles and Problems, Student Edition
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Tutorials in Introductory Physics
University Physics Volume 2
Essential University Physics: Volume 2 (3rd Edition)
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
College Physics: A Strategic Approach (4th Edition)
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON