Answer to Question #282922 in Electricity and Magnetism for BIGIRMANA Elie

Question

 Show that the continuity equation follows from Maxwell's equations.

Answer 1

Solution

the continuity equation is given by

$∇∙J = -\frac{∂ρ}{∂t}$

Where J is current charge density

$\rho$ is probability currrent density.

The origin of this equation is Maxwell equation so this have to follow Maxwll equation .