--%>
Assignment Help - homework help

Explain Maxwells equations and its elegant equation

Explain Maxwells equations and its four elegant equation?

Maxwell's equations (J.C. Maxwell; 1864):

The four elegant equations that explain classical electromagnetism in its entire splendor. They are:

Gauss law:
The electric flux via a closed surface is proportional to the arithmetical sum of electric charges encompassed within that closed surface; in its differential form,

div E = rho,

Here rho is the charge density.

Gauss law for magnetic fields:

The magnetic flux via a closed surface is zero (0); no magnetic charges exist. In the differential form,

div B = 0

Faraday's law:

The line integral of the electric field about a closed curve is proportional to the instant time rate of change of the magnetic flux via a surface bounded by that closed curve; in its differential form,

curl E = -dB/dt,

Here d/dt here symbolizes partial differentiation.

Ampere's law, modified form:

The line integral of the magnetic field about a closed curve is proportional to the addition of two terms: first, the arithmetical sum of electric currents flowing via that closed curve; and second, the instant time rate of change of the electric flux via a surface bounded by that closed curve; in its differential form,

curl H = J + dD/dt,

Here d/dt here symbolizes partial differentiation.

In addition to explaining electromagnetism, his equations too predict that waves can propagate via the electromagnetic field, and would for all time propagate at similar speed -- these are electromagnetic waves; the speed can be found by evaluating (epsilon0 mu0)-1/2, that is c, the speed of light in vacuum.

   Related Questions in Physics

  • Q : Problem on magnetically coupled pair

    When one coil of a magnetically coupled pair has a current of 5.0A, the resulting fluxes Φ11 and Φ21 are 0.2mWb and 0.4mWb, respectively.  If the turns are N1 = 500 and N2 = 1500, find L1, L2, M and the coeffici

    		•
  • Q : What is Cosmic censorship conjecture

    Cosmic censorship conjecture (R. Penrose, 1979): The conjecture, so far wholly undemonstrated in the context of general relativity, that all singularities (that is with the possible exception of the big bang singularity) are attended

    		•
  • Q : Weights in pounds of the liquid gallons

    Write down the weights in pounds of the liquid gallons? Briefly describe it.

    		•
  • Q : How asteroids are formed Explain how

    Explain how asteroids are formed? Describe.

    		•
  • Q : Brewster's law Brewster's law (D.

    Brewster's law (D. Brewster) - The extent or level of the polarization of light reflected from a transparent surface is maximum whenever the reflected ray is at right angle to the refracted ray.  

    		•
  • Q : What is Farad or SI unit of capacitance

    What is Farad or SI unit of capacitance? Farad: F (after M. Faraday, 1791-1867): The derived SI unit of the capacitance stated as the capacitance in a capacitor that, when charged to 1 C, contains

    		•
  • Q : Black-hole dynamic laws or laws of

    Explain  laws of black-hole dynamics or First law of black hole dynamics and Second law of black hole dynamics? 

    Q : Define Grandfather paradox Grandfather

    Grandfather paradox: The paradox proposed to discount time travel and exhibit why it violates causality. State that your grand-father makes a time machine. In the current time, you employ his time machine to go back in time a few decades to a point be

    		•
  • Q : Define Luxon Luxon : The particle that

    Luxon: The particle that travels solely at c (that is the speed of light in vacuum). All luxons have a rest mass of exactly zero. Though they are mass less, luxons do take momentum. The photons are the prime illustration of luxons (that is the name it

    		•
  • Q : Explain Keplers laws or Keplers

    Explain Keplers laws or Keplers first law, second law and third law? Kepler's laws (J. Kepler) Kepler's first

    		•