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## Homework Statement

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.

## Homework Equations

L is inductance, V is voltage across the coil, and R is the resistance.

L = sqrt( (V/I)

^{2}+ R

^{2})

## The Attempt at a Solution

If the inductance of the coil in a vacuum L

_{0}could be determined (probably use online value if I can find it) then magnetic susceptibility X is

X = (L / L

_{0}- 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 = µ

_{0}(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?