Difference between revisions of "Maxwell's Equations"

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:

$\oiint \mathbf{E} \cdot d\mathbf{A} = \frac{q_{enc}}{\varepsilon_0} \text{V} \cdot \text{m}$ (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 $\text{T}$ , $\varepsilon_0$ 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 10: / Line 10: @@
 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>\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>,

Page

Toolbox

Search

Difference between revisions of "Maxwell's Equations"

Latest revision as of 15:20, 13 November 2024