Hi, I have some data taken on voltage and resistance of a coil part of a yttrium barium copper oxicde (ycbo) superconductor. I have no information about the coil itself. A thermocouple attached to the superconductor also measured the temperature of it as it was cooled. This data was used to calculate the inductance of the coil as a function of temperature. I need to convert this somehow to susceptibility as a function of temperature, but since I lack other data such inductance of the coil in a vacuum, I do not know if there is a direct way to do this.
L is inductance, V is voltage across the coil, and R is the resistance.
L = sqrt( (V/I)2 + R2)
The Attempt at a Solution
If the inductance of the coil in a vacuum L0 could be determined (probably use online value if I can find it) then magnetic susceptibility X is
X = (L / L0 - 1)/α
Where α is the fraction of the coil occupied by the sample. This value I don't know but assuming I could find L_0 could I just approximate it to 1?
There is a similar equation using magnetic permeability
µ = µ0(1 + X)
but once again I do not have µ.
Another attempt was taking the derivative of my graph of inductance over temperature, and it gave a plot closer to the real plot of magnetization vs temperature, but I have not taken advanced E&M classes and do not know how to justify this.
So is there anyway to directly get X without knowing other things besides I, L, R and V? Or do I use these to find other quantities which I then use to get X?