god said maxwell equations and then there was light

d l = ∫ surf ∇ x B, and I enc = ∫ surf J dτ, so ∇ x B = μ o J.Ampere’s Law describes the static magnetic field in terms of the electric currents that are its source, by giving the component of the magnetic field along the direction around a closed path summed over the path in terms of the current passing through the path, in symbols ∫ B The first is Ampere’s Law, again in differential form. The fourth equation consists of two terms.

d l = - dΦ/dt, where Φ is the magnetic flux.Faraday’s law describes the way changing magnetic fields produce electric fields, by giving the component of the electric field along the direction around a closed path summed over the path in terms of the change in the magnetic flux through the path, in symbols The third equation is Faraday’s Law in differential form. All magnetic fields results from electric currents. The second equation has no special name but is a statement of an apparent fact, known before Maxwell’s time, that there are no point sources of the magnetic field. Also Q enc = ∫ vol ρ dτ, hence the first Maxwell equation ∇ Gauss’ Law describes the static electric field in terms of electric charges, by giving a formula for the component of the electric field perpendicular to the surface of a boundary added over the entire boundary in terms of the total charge contained within the boundary. The first equation is Gauss’ Law in differential form. These equations were first summarized as such by the Scottish physicist James Clerk Maxwell in 1860, 2 although most of their content individually was already known. V is the divergence of a vector field, and ∇ x V is the curl of a vector field.Where E and B are the Electric and Magnetic fields, respectively, ρ is the position dependent density of electric charge, J is the position dependent density of electric current, μ oand ε o are constants determined experimentally, ∇

The statement of a coherent theory of electrodynamics as contained in the equations is considered one of the greatest triumphs of physics. They do so by relating the electric and magnetic fields to their sources and to each other. Maxwell’s Equations succinctly contain the basis of our theoretical knowledge of classical electrodynamics, that is electricity, magnetism, and electromagnetic radiation.

God said maxwell equations and then there was light