# Current density inside superconductors

1. Apr 2, 2012

### rheajain

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