Using Maxwell's equations to derive the continuity equation

  • Thread starter DontDeimos
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Homework Statement


Use Maxwell's equations to derive the continuity equation.

B=Magnetic Field
E=Electric Field
ρ=Charge Density
J=Current Density

Homework Equations


Maxwell's Equations:

∇⋅E=ρ/ε0,
∇×E=-∂B/∂t
∇⋅B=0
∇×B=ε0μ0(∂E/∂t)+μ0J

Continuity Equation:

∇⋅J +∂ρ/∂t = 0

The Attempt at a Solution


I have no idea how to even start this problem. I'm so lost, please help!
 

Answers and Replies

  • #2
Orodruin
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Forum rules require you to make an attempt at solving the problem. Your relevant equations are fine, so why do you not try to use those to get to what you want to show?
 

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