Difference between integral and differential maxwell equatino
Answers
Answered by
0
Hey buddy here is ur answer.......
The equations are entirely equivalent, as can be proven using Gauss' and Stokes' theorems.
The integral forms are most useful when dealing with macroscopic problems with high degrees of symmetry (e.g. spherical or axial symmetry; or, following on from comments below, a line/surface integrals where the field is either parallel or perpendicular to the line/surface element).
The differential forms are strictly local - they deal with charge and currentdensities and fields at a point in space and time. The differential forms are fareasier to manipulate when dealing with electromagnetic waves; they make it fareasier to show that Maxwell's equations can be written in a covariant form, compatible with special relativity; and fareasier to put into a computer to do numerical electromagnetism calculations.
I would think that these three points generalise to any system of differential vs integral forms in physics.
hope u like answer ...and plz mark it as brainalist one...
The equations are entirely equivalent, as can be proven using Gauss' and Stokes' theorems.
The integral forms are most useful when dealing with macroscopic problems with high degrees of symmetry (e.g. spherical or axial symmetry; or, following on from comments below, a line/surface integrals where the field is either parallel or perpendicular to the line/surface element).
The differential forms are strictly local - they deal with charge and currentdensities and fields at a point in space and time. The differential forms are fareasier to manipulate when dealing with electromagnetic waves; they make it fareasier to show that Maxwell's equations can be written in a covariant form, compatible with special relativity; and fareasier to put into a computer to do numerical electromagnetism calculations.
I would think that these three points generalise to any system of differential vs integral forms in physics.
hope u like answer ...and plz mark it as brainalist one...
Similar questions