CONSERVATION LAWS IN ELECTRODYNAMICS

 IN THE FOLLOWING CONTENT YOU WILL GET AN INSIGHT INTO THE WORLD OF ELECTRODYNAMICS .......

LETS START THE JOURNEY TO LEARN THE CONSERVATION LAWS IN ELECTRODYNAMICS...

FOLLOWING CONTENT WILL COVER.....

‰ Poynting’s theorem 

‰ Energy conservation in electrodynamics

‰ The Maxwell stress tensor (which gets rather messy) 

‰ Momentum conservation in electrodynamics

Poynting’s theorem

Suppose a collection of charges and currents lies entirely within a volume V. If they are released at some point in time, electromagnetic forces will begin to do work on them. Consider, for instance, the work done by the forces on charges and currents in an infinitesimal volume d τ during a time dt:

Derivation of the Theorem

We begin with the differential form of Ampere’s law:

NEWTONS THIRD LAW IN ELECTRODYNAMICS AND MAXWELL'S STRESS TENSOR :-

FOR THE COMPLETE DERIVATION OF ENERGY CONSERVATION IN ELECTRODYNAMICS AND MAXWELL'S STRESS TENSOR CLICK HERE

Magnetic forces do no (net) work

Because the magnetic force on a moving charge is perpendicular to the velocity, the work done by a magnetic force is zero. However, in a multiparticle system it can happen that magnetic forces can rearrange the energy within the system, as long as these forces do as much negative work as they do positive work, so that the net work done is zero.

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