Flux Pinning in a type 2 SC Using an AC Electromagnet

AI Thread Summary
When a supercooled type two superconductor is exposed to a static magnetic field, it exhibits flux pinning due to the mixed-state Meissner effect. Subjecting the superconductor to a continuously changing magnetic field, particularly after the superconductivity has been established, raises questions about the strength of the pinning force compared to a static field. If the changing field is not sinusoidal and remains above zero volts, it may still behave similarly to a DC field if the changes occur slowly enough. Clarification on the term "supercooled" indicates it refers to the state of superconductivity rather than a temperature condition related to water vapor. Overall, the dynamics of flux pinning in response to varying magnetic fields remain a complex area of study.
AniV
Messages
15
Reaction score
1
When a supercooled type two superconductor is subjected to a static magnetic field, the superconductor pins to the flux of the field (the mixed-state meissner effect is apparent).

What happens if it is subjected to a continuously changing magnetic field, assuming the superconductivity takes place after the field is introduced (flux already passed through before the superconductor became superconducting, which with DC current would result in a stronger pinning force)?

What would happen if the changing field is not sinusoidal, only changing slightly without ever reaching 0v?
 
Physics news on Phys.org
What do you mean by supercooled (which applies to water vapor)? I assume you just mean that it's superconducting? If the field strength changes slowly enough, then you can treat it as though it is a DC field at every time.
 
This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'
Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...
Back
Top