Question

The trajectory of a charged particle in a uniform magnetic field is a helix if $\overrightarrow{\mathbf{v}}$ has components both parallel to and perpendicular to the field. Explain how the two other cases (circular motion for $v_{\|}=0$ and straight line motion for $v_{\perp}=0$ ) can each be considered to be special cases of helical motion.

Name: Problem 20, Chapter 19: College Physics
Uploaded: 2021-05-30T13:25:28-08:00
Duration: 1 min 37 s
Channel: Ajay Singhal
Description: The trajectory of a charged particle in a uniform magnetic field is a helix if 𝐯 has components both parallel to and perpendicular to the field. Explain how the two other cases (circular motion for v=0 and straight line motion for v⊥=0 ) can each be considered to be special cases of helical motion.

   The trajectory of a charged particle in a uniform magnetic field is a helix if $\overrightarrow{\mathbf{v}}$ has components both parallel to and perpendicular to the field. Explain how the two other cases (circular motion for $v_{\|}=0$ and straight line motion for $v_{\perp}=0$ ) can each be considered to be special cases of helical motion.

College Physics

lan Giambattista,… 2nd Edition

Chapter 19, Problem 20

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Solved by Expert Ajay Singhal

05/30/2021

Step 1

A charged particle moving in a uniform magnetic field experiences a force perpendicular to both its velocity and the magnetic field, given by the Lorentz force: $\overrightarrow{F} = q(\overrightarrow{v} \times \overrightarrow{B})$, where $q$ is the charge, Show more…

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The trajectory of a charged particle in a uniform magnetic field is a helix if $\overrightarrow{\mathbf{v}}$ has components both parallel to and perpendicular to the field. Explain how the two other cases (circular motion for $v_{\|}=0$ and straight line motion for $v_{\perp}=0$ ) can each be considered to be special cases of helical motion.