The compound SiV3 is a typeII superconductor At temperatures

The compound SiV3 is a type-II superconductor. At temperatures near absolute zero the two critical fields are Bc1 = 55.1 mT and Bc2 = -39.9 T . The normal phase of SiV3 has a magnetic susceptibility close to zero. A long, thin SiV3cylinder has its axis parallel to an external magnetic field B 0 in the +x-direction. At points far from the ends of the cylinder, by symmetry, all the magnetic vectors are parallel to the x-axis. At a temperature near absolute zero the external magnetic field is slowly increased from zero

Part A

What is the resultant magnetic field B  inside the

cylinder at points far from its ends just before the magnetic

flux begins to penetrate the material?

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Part B

What is the resultant magnetization M  inside the cylinder at

points far from its ends just before the magnetic flux begins to

penetrate the material?

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Part C

What is the resultant magnetic field B  inside the cylinder at points

far from its ends just after the material becomes completely normal?

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Part D

What is the resultant magnetization M  inside the cylinder

at points far from its ends just after the material becomes completely normal?

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Solution

A

The magnetic fieldin the material is zero

B=0

B

The magnetization is

   M = -Bc1/uo

   = -4.38x10^4 A /m i ^

C

In this case the material is normal so the magnetization is zero

M = 0

D

The net magnetic field is

B=Bc2

= -39.9 T i^