Two charged particles are projected into a region where...

Name: Problem 19, Chapter 21: Holt Physics
Uploaded: 2020-10-02T23:55:46-08:00
Duration: 38 s
Channel: Suzanne W.
Description: Two charged particles are projected into a region where there is a magnetic field perpendicular to their velocities. If the particles are deflected in opposite directions, what can you say about them?

Two charged particles are projected into a region where there is a magnetic field perpendicular to their velocities. If the particles are deflected in opposite directions, what can you say about them?

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Key Concepts

Right-Hand Rule

The Right-Hand Rule is a mnemonic used to determine the direction of the magnetic force on a positively charged particle. By aligning the right hand's fingers in the direction of the particle's velocity and curling them towards the magnetic field, the thumb points in the direction of the force. For a negatively charged particle, the force acts in the opposite direction, which is key to understanding the differing trajectories of particles with opposite charges.

Lorentz Force

The Lorentz Force is the principle governing the force experienced by a charged particle in an electromagnetic field. It states that a charged particle moving through a magnetic field experiences a force perpendicular to both its velocity and the magnetic field, as described by the cross product F = q(v × B). This concept is foundational in understanding how and why charged particles are deflected in magnetic fields.

Sign of Charge

The sign of a charged particle (positive or negative) determines the direction of the force it experiences in a magnetic field. Since the Lorentz force depends on the charge q, particles with opposite signs will experience forces in opposite directions when subjected to identical magnetic conditions, which directly explains their opposite deflections.

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