Introduction to Magnetic Force: Difference between revisions
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::*<math>\vec{\mathbf{F_B}}=q\vec{\mathbf{v}}\times{}\vec{\mathbf{B}}</math> | ::*<math>\vec{\mathbf{F_B}}=q\vec{\mathbf{v}}\times{}\vec{\mathbf{B}}</math> | ||
::*<math>|\vec{\mathbf{F_B}}|=qvBsin(\theta{})</math> | ::*<math>|\vec{\mathbf{F_B}}|=qvBsin(\theta{})</math> | ||
The above means that any particle at rest will NOT experience any magnetic force. | |||
==Examples== | ==Examples== | ||
Revision as of 22:15, 26 June 2019
This page provides a short introduction to the concept of the magnetic force.
Main Idea
The magnetic force acts upon moving charges (or currents). This means that the magnitude of the magnetic force has a direct dependence on the velocity of the charge it is acting upon. Furthermore, the magnetic force acts via the magnetic field. This magnetic force acts in a direction perpendicular to both the velocity of the charge and the direction of the magnetic field.
The magnetic field is a vector field (meaning that it extends in all three dimensions). Magnetic fields are provided most simply either by moving charges or by dipoles. When the magnetic field strength is known, it makes finding the magnetic force quite simple.
Magnetic fields and electric fields are, in fact, related, and both together comprise the electromagnetic force.
A Mathematical Model
Magnetic force can be represented as follows, where q is the charge on a particle, v is that particles velocity, and B is the magnetic field. Here, [math]\displaystyle{ \theta }[/math] represents the angle between the velocity and magnetic field vectors. The direction of the magnetic field can be found using the right hand rule.
- [math]\displaystyle{ \vec{\mathbf{F_B}}=q\vec{\mathbf{v}}\times{}\vec{\mathbf{B}} }[/math]
- [math]\displaystyle{ |\vec{\mathbf{F_B}}|=qvBsin(\theta{}) }[/math]
The above means that any particle at rest will NOT experience any magnetic force.