Question

Calculate the limiting value of the magnetic field for which Nb will act as a
superconductor at 4 K. Take Bac(0) as 1970 Oe and Tc for Nb to be 9.25 K.

Answer 1

Answer on Question #51557, Physics, Solid State Physics

Calculate the limiting value of the magnetic field for which Nb will act as a superconductor at 4 K. Take Bac(0) as 1970 Oe and Tc for Nb to be 9.25 K.

Solution

According to Meissner effect

$$B(T) = B_{ac}(0) \left(1 - \frac{T^2}{T_C^2}\right)$$

where $T = 4K$, $T_C = 9.25K$; $B_{ac}(0) = 1970\,\mathrm{tesla}$

Then

$$B(4) = 1970 \left(1 - \frac{4^2}{9.25^2}\right) = 1601.6\,\mathrm{tesla}$$

Answer: $B(4) = 1601.6\,\mathrm{tesla}$

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