(adsbygoogle = window.adsbygoogle || []).push({}); 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. H_{x}=H_{z}=0 h_{y}= H_{0}(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

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# Homework Help: Current density inside superconductors

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