Saturday, June 22, 2019

Physics - Maxwell's Electrodynamical Equations

 

In 1859, James Clerk Maxwell introduced  mathematical form of  four fundamental laws of electricity and magnetism. The laws are :
  1. Gauss's law of Electricity
  2. Gauss's law of Magnetism
  3. Faraday's law of Electromagnetic Induction  
  4. Ampere's Circuital Law
Gauss's Law of Electricity :
He expressed first law as,

which states that the total normal electronic introduction / flux coming out from a close surface is equal to the ration of amount of charge enclosed by the surface and the permittivity of the vacuum. 

Gauss's Law of Magnetism :


 The second law which states that, the total magnetic flux coming out from any closed surface is always zero, can be written as, 

Faraday's Law of Electromagnetic Induction :

Faraday's law states that Emf induced in a loop is equal to rate of change of magnetic flux in it.

Ampere's Circuital Law :
4th law states that, the closed integration of ∮B ᐧ dl over any loop is equal the current enclosed by the loop is expressed as 
These are the integral form of these laws.

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