When two particles travel through a region of uniform...

Name: Problem 19, Chapter 19: College Physics
Uploaded: 2021-05-09T18:38:35-08:00
Duration: 1 min 32 s
Channel: Noor Aldeen Almusleh
Description: When two particles travel through a region of uniform magnetic field pointing out of the plane of the paper, they follow the trajectories shown. What are the signs of the charges of each particle?

When two particles travel through a region of uniform magnetic field pointing out of the plane of the paper, they follow the trajectories shown. What are the signs of the charges of each particle?

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Key Concepts

Lorentz Force

This is the force exerted on a charged particle moving in a magnetic field, mathematically described by F = q(v × B). The direction and magnitude of this force depend on the charge of the particle, its velocity, and the magnetic field. It is the fundamental principle that explains why charged particles curve in a magnetic field.

Right-Hand Rule

This rule is used to determine the direction of the magnetic force on a positive charge. When the fingers of the right hand point in the direction of the velocity and curl toward the magnetic field, the thumb points in the direction of the force. For negative charges, the force direction is opposite to that indicated by the right-hand rule.

Circular Motion in a Magnetic Field

When a charged particle moves perpendicular to a uniform magnetic field, the magnetic force acts as a centripetal force, causing the particle to move in a circular path. The radius and curvature of this path depend on the particle's velocity, mass, charge, and the strength of the magnetic field. Observing the curvature helps in determining the sign and magnitude of the charge.

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