IIT JEE , AIEEE Forum - Physics , Magnetism - Maxwell's equations in vacuum in integral and differntial form.

pankaj_bro

1.Are there different Maxwell's equations in vacuum and material medium in differential form and integral form? If there, what are the corresponding differential & integral equations?

feynmann

differential form : ( general material medium )

div D =

......................... ( 1 )

div B = 0 ..........................( 2 )

curl E = -

B/

t ....................(3 )

curl H = j +

D /

t ..............( 4 )

now the constitutive relations are

D =

E + P

B =

H + M

Field quantities are vectors( tensors of rank 1 ) , epsilon and mu are tensors of rank 2 , rho is a scalar ( tensor of rank 0 )

The eqns are easy to convert into integral form by the use of Divergence th and stokes theorem .

magiclko

Maxwell's equation in integral form

Maxwell's equation in differential form

where

= del operator, and is given by,

= d/dx i + d/dy j + d/dz

J = current density

= charge density

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