What is the shape of the trajectory that a charged particle follows in a magnetic field?

Name: Problem 2, Chapter 19: Five Easy Lessons: Strategies for Successful Physics Teaching
Uploaded: 2021-05-30T13:25:28-08:00
Duration: 1 min 37 s
Channel: Ajay Singhal
Description: What is the shape of the trajectory that a charged particle follows in a magnetic field?

step 1 belongs to the magnetic forces and fields in which we have to discuss the trajectory of the part

What is the shape of the trajectory that a charged particle...

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Lorentz Force

The Lorentz force is the fundamental force acting on a charged particle moving in a magnetic field, given by the cross product of the velocity vector and the magnetic field vector. This force is always perpendicular to the particle's velocity, which means it does not do work on the particle but continuously changes the direction of its motion.

Uniform Magnetic Field

A uniform magnetic field is one in which the magnetic field lines are parallel and have the same magnitude across a given region. In such a field, the force on a charged particle remains consistently directed perpendicular to its instantaneous velocity, resulting in predictable circular or helical paths.

Circular Motion

When a charged particle's velocity is entirely perpendicular to a uniform magnetic field, it experiences a constant centripetal force due to the Lorentz force. This causes the particle to move in a circular path with a radius that depends on its speed, charge, and the strength of the magnetic field.

Helical Trajectory

If the particle's velocity has a component parallel to the magnetic field, the parallel component is unaffected by the magnetic force while the perpendicular component results in circular motion. The combination of these motions produces a helix, where the particle spirals along the direction of the magnetic field.

Transcript

Please give Ace some feedback