Why does (current density) dJ/dt=0?

lundi 1 septembre 2014

could someone explain to me why the the time derivative of current density J would be zero?



more specifically..



$$\mu_0\frac{∂\vec{J}}{∂t}=0$$





trying to derive maxwell's wave equation for E-field and i guess one of the assumptions i have to make is the above. but if i'm making a wave, i thought i had to have accelerating charges in which case why would the above be true?





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