Question

A particle with charge $q$ is at rest when a magnetic field is suddenly turned on. The field points in the $z$ -direction. What is the direction of the net force acting on the charged particle? a) in the $x$ -direction c) The net force is zero. b) in the $y$ -direction d) in the $z$ -direction

Name: Problem 2, Chapter 27: University Physics with Modern Physics
Uploaded: 2021-05-17T07:01:09-08:00
Duration: 1 min 34 s
Channel: Ajay Singhal
Description: A particle with charge q is at rest when a magnetic field is suddenly turned on. The field points in the z -direction. What is the direction of the net force acting on the charged particle? a) in the x -direction c) The net force is zero. b) in the y -direction d) in the z -direction

   A particle with charge $q$ is at rest when a magnetic field is suddenly turned on. The field points in the $z$ -direction. What is the direction of the net force acting on the charged particle?
a) in the $x$ -direction
c) The net force is zero.
b) in the $y$ -direction
d) in the $z$ -direction

University Physics with Modern Physics

Wolfgang Bauer, Gary… 2nd Edition

Chapter 27, Problem 2

Instant Answer

Solved by Expert Ajay Singhal

05/17/2021

Step 1

This means the speed of the charged particle is zero, i.e., $v = 0$. Show more…

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A particle with charge $q$ is at rest when a magnetic field is suddenly turned on. The field points in the $z$ -direction. What is the direction of the net force acting on the charged particle? a) in the $x$ -direction c) The net force is zero. b) in the $y$ -direction d) in the $z$ -direction

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Key Concepts

Lorentz Force Law

This fundamental principle in electromagnetism states that the force on a charged particle is given by F = q(E + v × B). It shows that any force from the magnetic field arises from the cross product of the particle's velocity and the magnetic field, meaning that if the particle is not moving, the magnetic component of the force is zero.

Effect on Stationary Charges

A key consequence of the Lorentz force law is that a stationary charge (with v = 0) does not experience a magnetic force, because the cross product between zero velocity and any magnetic field is zero. This concept is crucial for understanding why a charge at rest feels no net force when a magnetic field is applied.

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