Coulomb's law: Difference between revisions
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== Overview == | == Overview == | ||
Coulomb's Law states that <math>\vec{F}_{on1} = {\frac{q_{1}q_{2}}{4\pi\epsilon_{0}|\vec{r}_{12}|^2}}\hat{r}_{12}</math> , where <math>\vec{F}_{on1}</math> is the force on charge <math>q_{1}</math> by charge <math>q_{2}</math>, <math>|\vec{r}_12|</math> is the distance between the charges, and <math>\hat{r}_{12}</math> is the unit vector pointing from <math>q_{1}</math> to <math>q_{2}</math>. In words, it says that the force on one charged particle (<math>A</math>) by another charged particle (<math>B</math>) is directed at <math>A</math>, is jointly proportional to the charges themselves (signs included), and is inversely proportional to the distance between <math>A</math> and <math>B</math> squared. | Coulomb's Law states that <math>\vec{F}_{on1} = {\frac{q_{1}q_{2}}{4\pi\epsilon_{0}|\vec{r}_{12}|^2}}\hat{r}_{12}</math> , where <math>\vec{F}_{on1}</math> is the force on charge <math>q_{1}</math> by charge <math>q_{2}</math>, <math>|\vec{r}_12|</math> is the distance between the charges, and <math>\hat{r}_{12}</math> is the unit vector pointing from <math>q_{1}</math> to <math>q_{2}</math>. In words, it says that the force on one charged particle (<math>A</math>) by another charged particle (<math>B</math>) is directed at <math>A</math>, is jointly proportional to the charges themselves (signs included), and is inversely proportional to the distance between <math>A</math> and <math>B</math> squared. Coloumb's Law holds only in static situations (none of the charges can move) and it can be derived from Gauss's law, which is one of Maxwell's Equations. | ||
== Main Idea == | == Main Idea == | ||
Revision as of 00:40, 29 November 2023
Claimed by Spencer Boebel (Fall 2023)
Coulomb's Law
Overview
Coulomb's Law states that [math]\displaystyle{ \vec{F}_{on1} = {\frac{q_{1}q_{2}}{4\pi\epsilon_{0}|\vec{r}_{12}|^2}}\hat{r}_{12} }[/math] , where [math]\displaystyle{ \vec{F}_{on1} }[/math] is the force on charge [math]\displaystyle{ q_{1} }[/math] by charge [math]\displaystyle{ q_{2} }[/math], [math]\displaystyle{ |\vec{r}_12| }[/math] is the distance between the charges, and [math]\displaystyle{ \hat{r}_{12} }[/math] is the unit vector pointing from [math]\displaystyle{ q_{1} }[/math] to [math]\displaystyle{ q_{2} }[/math]. In words, it says that the force on one charged particle ([math]\displaystyle{ A }[/math]) by another charged particle ([math]\displaystyle{ B }[/math]) is directed at [math]\displaystyle{ A }[/math], is jointly proportional to the charges themselves (signs included), and is inversely proportional to the distance between [math]\displaystyle{ A }[/math] and [math]\displaystyle{ B }[/math] squared. Coloumb's Law holds only in static situations (none of the charges can move) and it can be derived from Gauss's law, which is one of Maxwell's Equations.
Main Idea
A Mathematical Model
A Computational Model
Example
Connectedness
History
Coulomb's Law was first formulated in
See Also
-Biot-Savart Law -Law of Superposition -Gauss' Law