\[\Phi_0=\frac{h}{2e}\]
Variables
Phi0[Φ_0]magnetic flux quantum (Wb)
hPlanck constant (J·s)
eelementary charge (C)
Description
What is this formula?
The magnetic flux quantum formula calculates the smallest quantized unit of magnetic flux in a superconducting loop. In superconductors, magnetic flux is quantized because charge carriers form Cooper pairs with charge 2e.
When to use it
This formula is used in superconductivity, quantum electronics, Josephson junctions, SQUID magnetometers, and superconducting circuit design.
Example
Using:
Φ_0 = h/(2e)
Where:
h = 6.626×10^-34 J·s
e = 1.602×10^-19 C
Substitution:
Φ_0 = (6.626×10^-34)/(2×1.602×10^-19)
Result:
Φ_0 ≈ 2.07×10^-15 Wb
Applications
- Superconducting loops
- SQUID magnetometers
- Josephson junctions
- Quantum circuits
- Superconducting electronics
- Condensed matter physics