London penetration depth (a) Take the time derivative of the London equation (10) to show that j/t

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London penetration depth 

(a) Take the time derivative of the London equation (10) to show that ∂j/∂t = (c2/4πλ2L) E. 

(b) If mdv/dt = qE, as for free carriers of charge q and mass m, show that λ2L = mc2 / 4πnq2.

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