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Using Maxwell's equations to derive the continuity equation

  1. Nov 23, 2014 #1
    1. The problem statement, all variables and given/known data
    Use Maxwell's equations to derive the continuity equation.

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

    2. Relevant equations
    Maxwell's Equations:

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

    Continuity Equation:

    ∇⋅J +∂ρ/∂t = 0

    3. The attempt at a solution
    I have no idea how to even start this problem. I'm so lost, please help!
     
  2. jcsd
  3. Nov 24, 2014 #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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