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Science

Equation

         
    Name Maxwell's Equation  
 
    Equation ∇⋅ E = ρ ε 0 ∇× E = - B t ∇⋅ B = 0 c 2 ∇× B = E t + j ε 0  
 
    Definition of terms

E = electric field strength, B = magnetic flux density, ρ = charge density, ε0= electric constant, c = speed of light, j = current density, t = time

 
 
    Comments

Maxwell's equations are the fundamental equations of electromagnetism. They encompass all of the behaviour of electromagnetic fields. They are relativistically correct.

Here they are expressed in terms of E and B fields, but it is possible to express them in many different ways, including using D and H fields.

They were developed by James Clerk Maxwell (1831 - 1879), a Scottish physicist.
 
 
    References

The Feynman Lectures on Physics , R P Feynman, R B Leighton, M Sands, Addison-Wesley, 1963

 

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