A type 2 superconductor is placed in a small magnetic field

[mkbh_10]

A flux quantum is approx. equal to 2*(10)^(-7) gauss cm*cm. A type 2 superconductor is placed in a small magnetic field which is then slowly increased till the field starts penetrating the superconductor. THe strength of the field at this point is 2/pi*(10)^(5) gauss.

The penetration depth is

100 Angstrm
10 angstrm
1000 angstrm
314 angstrm

The applied field is further increased till superconductivity is completely destroyed. The strength of field is 8/pi*(10)^5 gauss. The correlation length of superconductor is

20 A
200 A
628 A
2000 A

 

[mark726]

Thank you for sharing this interesting situation with us. I would like to provide some additional information and clarify a few points.

Firstly, the flux quantum is a fundamental unit of magnetic flux in superconductors, and its value is approximately 2.07 x 10^-7 gauss cm^2. It represents the smallest possible unit of magnetic flux that can exist in a superconductor.

Moving on to the penetration depth, this is the distance that the magnetic field can penetrate into the superconductor before the material starts to exhibit normal (non-superconducting) behavior. It is typically denoted by the symbol λ and is dependent on various factors such as temperature, magnetic field strength, and material properties.

In your scenario, the applied magnetic field strength at which the superconductor starts to exhibit normal behavior is 2/π x 10^5 gauss, which is equivalent to 63,662.2 gauss. This value is significantly higher than the flux quantum and indicates that the superconductor is a type 2 superconductor, which can tolerate higher magnetic fields before losing its superconducting properties.

The penetration depth at this point can be calculated using the equation λ = (m/μ0H)^1/2, where m is the magnetic permeability of the superconductor and μ0 is the permeability of free space. Without knowing the specific material being used, it is difficult to provide an exact value for the penetration depth. However, based on the given options, it is likely to be around 1000 angstroms (100 nm).

Moving on to the second part of the scenario, when the applied magnetic field is increased to 8/π x 10^5 gauss (equivalent to 254,648.3 gauss), the superconductor loses its superconductivity completely. This indicates that the critical magnetic field of the material is lower than this value.

The correlation length, on the other hand, is a measure of the size of the regions in which the superconducting properties are strongly correlated. It is typically denoted by the symbol ξ and is also dependent on various factors such as temperature and material properties.

Again, without knowing the specific material being used, it is difficult to provide an exact value for the correlation length. However, based on the given options, it is likely to be around 200 angstroms (20 nm).

I hope this information helps