\[H_c=H_{c0}\left(1-\left(\frac{T}{T_c}\right)^2\right)\]
Variables
Hc[H_c]critical magnetic field (T)
Hc0[H_c0]critical magnetic field at 0 K (T)
Ttemperature (K)
Tc[T_c]critical temperature (K)
Description
What is this formula?
The critical magnetic field temperature dependence formula describes how the critical magnetic field of a superconductor decreases as temperature approaches the critical temperature.
When to use it
This formula is used in superconductivity studies, cryogenic engineering, and condensed matter physics to predict the magnetic field limit under which a material remains superconducting.
Example
A superconductor has:
H_c0 = 0.20 T
T_c = 7.2 K
T = 4.0 K
Using:
H_c = H_c0(1-(T/T_c)^2)
Substitution:
H_c = 0.20×(1-(4.0/7.2)^2)
Result:
H_c ≈ 0.138 T
Applications
- Superconductivity analysis
- Cryogenic engineering
- Magnetic shielding design
- Superconducting magnets
- Quantum materials
- Condensed matter physics