Difference between revisions of "Maxwell's Equations"
m (Replaced the flux integral for current with a simple variable I to put Ampere's law in more familiar form.) |
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They are as follows: | They are as follows: | ||
| − | <ul> <li> <math>\oiint \mathbf{E} \cdot d\mathbf{A} = \frac{q_{enc}}{\varepsilon_0}</math> (Gauss's law of electricity), | + | <ul> <li> <math>\oiint \mathbf{E} \cdot d\mathbf{A} = \frac{q_{enc}}{\varepsilon_0} \text{V} \cdot \text{m}</math> (Gauss's law of electricity), |
| − | <li> <math>\oiint \mathbf{B} \cdot d\mathbf{A} = 0</math> (Gauss's law of magnetism), | + | <li> <math>\oiint \mathbf{B} \cdot d\mathbf{A} = 0 \text{Wb}</math> (Gauss's law of magnetism), |
| − | <li> <math>\oint \mathbf{E} \cdot d\mathbf{\ell} = -\frac{d}{dt} \iint \mathbf{B} \cdot d\mathbf{A}</math> (Faraday's law), | + | <li> <math>\oint \mathbf{E} \cdot d\mathbf{\ell} = -\frac{d}{dt} \iint \mathbf{B} \cdot d\mathbf{A} \text{V}</math> (Faraday's law), |
| − | <li> <math>\oint \mathbf{B} \cdot d\mathbf{\ell} = \mu_0I + \mu_0\varepsilon_0 \frac{d}{dt}\iint \mathbf{E} \cdot d\mathbf{A}</math> (Ampere's law). | + | <li> <math>\oint \mathbf{B} \cdot d\mathbf{\ell} = \mu_0I + \mu_0\varepsilon_0 \frac{d}{dt}\iint \mathbf{E} \cdot d\mathbf{A} \text{T} \cdot \text{m}</math> (Ampere's law). |
</ul> | </ul> | ||
| − | + | Where: | |
| + | <math>\mathbf{E}</math> is the electric field in <math>\frac{\text{V}}{\text{m}}</math>, | ||
| + | <math>\mathbf{B}</math> is the magnetic field in <math>\text{T}</math>, | ||
| + | <math>\varepsilon_0</math> is the electric permittivity constant in <math>\frac{\text{F}}{\text{m}}</math>, | ||
| + | <math>\mu_0</math> is the magnetic permeability constant in <math>\frac{\text{H}}{\text{m}}</math>, | ||
| + | <math>I</math> is electric current in <math>\text{A}</math>, | ||
| + | <math>q_{enc}</math> is the electric charge in <math>\text{C}</math>, | ||
| + | and <math>t</math> is time in <math>\text{s}</math>. | ||
{{stub}} | {{stub}} | ||
Latest revision as of 15:20, 13 November 2024
Maxwell's equations are a set of four equations that govern electricity and magnetism in physics.
They are as follows:
-
(Gauss's law of electricity),
-
(Gauss's law of magnetism),
-
(Faraday's law),
-
(Ampere's law).
(Gauss's law of electricity),
(Gauss's law of magnetism),
(Faraday's law),
(Ampere's law).
Where:
is the electric field in 
,
is the magnetic field in 
,
is the electric permittivity constant in 
,
is the magnetic permeability constant in 
,
is electric current in 
,
is the electric charge in 
,
and 
is time in 
.
This article is a stub. Help us out by expanding it.
