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Current density inside superconductors

  1. Apr 2, 2012 #1
    1. The problem statement, all variables and given/known data

    consider an infinite superconducting slab of thickness 2d (-d<=z<=d), outside of which there is a given constant magnetic field parallel to the suface. Hx =Hz=0 hy= H0 (some value for z<d and z>-d) , with E vector= D vector=0 everywhere. compute H vector < J vector inside the slab, assuming surface currents and charges absent.

    2. Relevant equations
    consider Maxwell's equations in Gaussian units:
    divergence D vector= 4∏ρ
    divergence of B vector = 0
    curl of E vector= -(1/c) partial differential of B with respect to time.
    curl of H vector= (1/c) partial differential of D with respect to time + (4∏/c)J vector
    with D=E+4∏Pvector
    B vector = H vector + 4∏M vector
    now inside superconductor
    current density obeys following equation:
    c * curl(λJ)= -B , partial differential of (λJ) with respect to time= E
    λ is a constant


    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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