Difference between revisions of "Maxwell's Equations"

Revision as of 15:19, 13 November 2024

Maxwell's equations are a set of four equations that govern electricity and magnetism in physics.

They are as follows:

$\oiint \mathbf{E} \cdot d\mathbf{A} = \frac{q_{enc}}{\varepsilon_0} \text{V} \cdot \text{m}$ (Gauss's law of electricity),
$\oiint \mathbf{B} \cdot d\mathbf{A} = 0 \text{Wb}$ (Gauss's law of magnetism),
$\oint \mathbf{E} \cdot d\mathbf{\ell} = -\frac{d}{dt} \iint \mathbf{B} \cdot d\mathbf{A} \text{V}$ (Faraday's law),
$\oint \mathbf{B} \cdot d\mathbf{\ell} = \mu_0I + \mu_0\varepsilon_0 \frac{d}{dt}\iint \mathbf{E} \cdot d\mathbf{A} \text{T} \cdot \text{m}$ (Ampere's law).

Where: $\mathbf{E}$ is the electric field in $\frac{\text{V}}{\text{m}}$ , $\mathbf{B}$ is the magnetic field in $T$ , $\varepsilon_0$ is the electric permittivity constant in $\frac{\text{F}}{\text{m}}$ , $\mu_0$ is the magnetic permeability constant in $\frac{\text{H}}{\text{m}}$ , $I$ is electric current in $\text{A}$ , $q_{enc}$ is the electric charge in $\text{C}$ , and $t$ is time in $\text{s}$ . This article is a stub. Help us out by expanding it.

@@ Line 3: / Line 3: @@
 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>
+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>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}}

Page

Toolbox

Search

Difference between revisions of "Maxwell's Equations"

Revision as of 15:19, 13 November 2024