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Problem 17

Find the shape of a domain wall and its energy in a type I superconductor where the penetration depth is negligible, using Ginzburg-Landau theory. Boundary conditions are

Psi(x=0)=0
Psi(x=oo)=sqrt(-alpha/beta)

Problem 18

Show that the maximum current passing through a SQUID formed with two identical Josephson junctions of critical current I_c obeys the relation

I_m=2I_ccos[pi*flux/(flux quantum)]

Explain all steps.

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