Lorentz Force: Difference between revisions

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Claimed by Matt Harding --[[User:matt_harding23|matt_harding23]]  
Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)
==The Main Idea==
==The Main Idea==


The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present.  
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.


===A Mathematical Model===
===A Mathematical Model===


 
What are the mathematical equations that allow us to model this topic.  For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.
 
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.  


===A Computational Model===
===A Computational Model===


[[File:Lorentz Force.png]]
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]


==Examples==
==Examples==
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===Simple===
===Simple===
The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space?
Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons.
===Middling===
===Middling===
Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s.
Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N
Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N
Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N
===Difficult===
===Difficult===



Revision as of 23:23, 4 December 2015

Claimed by Firas Sheikh--Fsheikh6 (talk) 21:09, 1 November 2015 (EST)

The Main Idea

The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.

A Mathematical Model

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B} }[/math] where qE is the electric force and qv x B is the magnetic force.

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

Be sure to show all steps in your solution and include diagrams whenever possible

Simple

Middling

Difficult

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