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Homework Help: Lorenz guage and equation of continuity

  1. Mar 28, 2010 #1
    π²³ ∞ ° → ~ µ ρ σ τ ω ∑ … √ ∫ ≤ ≥ ± ∃ · θ φ ψ Ω α β γ δ ∂ ∆ ∇ ε λ Λ Γ ô
    1. The problem statement, all variables and given/known data
    Show that Lorentz' guage equation
    ∇.A = -µ(jωε+σe

    is the equation of continuity

    ∇ .Ji = (jωε+σe)/ε P(R)

    2. Relevant equations



    3. The attempt at a solution

    I tried taking curl, div of ampere's law, faraday's law but got nowhere.
    Any clue or hint?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 28, 2010 #2

    gabbagabbahey

    User Avatar
    Homework Helper
    Gold Member

    You might start by taking the gradient of each side of the Lorentz Gauge equation, and then maybe taking the curl of each side of the resulting equation after substituting [itex]\mathbf{\nabla}\varphi=-\textbf{E}-\frac{\partial \textbf{A}}{\partial t}[/tex]
     
  4. Nov 13, 2010 #3
    Starting from continuity Equation, how to reach Lorenz guage?

    I have tried everything, but I failed. Any hint would be appreciated.


     
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