Electric Force: Difference between revisions
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where '''<math>q</math>''' is the charge of the particle and '''<math>\vec E </math>''' is the external electric field. | where '''<math>q</math>''' is the charge of the particle and '''<math>\vec E </math>''' is the external electric field. | ||
This formula can be derived from the electric force between two point charges | This formula can be derived from <math>|\vec F|=\frac{1}{4 \pi \epsilon_0 } \frac{|{q}_{1}{q}_{2}|}{r^2} </math>, the electric force between two point charges. The magnitude of the electric field created by a point charge is <math>|\vec E|=\frac{1}{4 \pi \epsilon_0 } \frac{|q|}{r^2} </math>, where '''<math>q</math>''' is the magnitude of the charge of the particle and '''<math>r</math>''' is the distance between the observation location and the point charge. | ||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
Revision as of 23:50, 28 November 2015
--Asaxon7 (talk) 00:48, 18 November 2015 (EST) Claimed by Alayna Saxon
This page contains information on the electric force on a point charge. Electric force is created by an external Electric Field.
The Coulomb Force Law
The formula for the magnitude of the electric force between two point charges is:
[math]\displaystyle{ |\vec F|=\frac{1}{4 \pi \epsilon_0 } \frac{|{q}_{1}{q}_{2}|}{r^2} }[/math]
where [math]\displaystyle{ {q}_{1} }[/math] and [math]\displaystyle{ {q}_{2} }[/math] are the magnitudes of charge of point 1 and point 2 and [math]\displaystyle{ r }[/math] is the distance between the two point charges. The units for electric force are in Newtons.
Direction of Electric Force
The electric force is along a straight line between the two point charges in the observed system. If the point charges have the same sign (i.e. both are either positively or negatively charged), then the charges repel each other. If the signs of the point charges are different (i.e. one is positively charged and one is negatively charged), then the point charges are attracted to each other.
Derivations of Electric Force
The electric force on a particle can also be written as:
[math]\displaystyle{ \vec F=q\vec E }[/math]
where [math]\displaystyle{ q }[/math] is the charge of the particle and [math]\displaystyle{ \vec E }[/math] is the external electric field.
This formula can be derived from [math]\displaystyle{ |\vec F|=\frac{1}{4 \pi \epsilon_0 } \frac{|{q}_{1}{q}_{2}|}{r^2} }[/math], the electric force between two point charges. The magnitude of the electric field created by a point charge is [math]\displaystyle{ |\vec E|=\frac{1}{4 \pi \epsilon_0 } \frac{|q|}{r^2} }[/math], where [math]\displaystyle{ q }[/math] is the magnitude of the charge of the particle and [math]\displaystyle{ r }[/math] is the distance between the observation location and the point charge.
A Mathematical Model
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
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Examples
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See also
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