Keyword | CPC | PCC | Volume | Score | Length of keyword |
---|---|---|---|---|---|

maxwell equations exterior derivative | 1 | 0.7 | 381 | 37 | 37 |

maxwell | 0.76 | 0.2 | 3040 | 63 | 7 |

equations | 1.42 | 0.9 | 9777 | 16 | 9 |

exterior | 1.67 | 0.7 | 7260 | 23 | 8 |

derivative | 0.68 | 1 | 3688 | 47 | 10 |

Part of a series of articles about. Electromagnetism. Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits.

Historically, a quaternionic formulation was used. Maxwell's equations are partial differential equations that relate the electric and magnetic fields to each other and to the electric charges and currents.

Extended Maxwell’s third equation or Maxwell’s third equation for the static magnetic field Which states that Static electric field vector is an irrotational vector. Static field implies the time-varying magnetic field is zero, ⇒ −δ→B δt =0 ⇒ − δ B → δ t = 0 ⇒ ▽× →E =0 ⇒ ▽ × E → = 0

The resulting equations are clearly covariant (i.e. they look the same after you apply a Lorentz transformation), and look a lot simpler than Maxwell's equations in vector notation. This is one of my favorite examples of how differential forms can make life easier.