Mutual inductance of coaxial solenoids
This test of the inductance calculations of BiotSavart uses data and calculated mutual inductances for various pairs of coaxial solenoids from the following publication:
Slobodan I. Babic and Cevdet Akyel, "New Analytic-Numerical Solutions for the Mutual Inductance of Two Coaxial Circular Coils With Rectangular Cross Section In Air", IEEE Transactions on Magnetics 42 (2006) 1661.
The BiotSavart calculations are made using the autoresolution feature of BiotSavart 4.0.6. The mutual inductance is found by setting the current in one coil to 1 Amp and the current in the other coil to zero, then calculating the flux linking the coil whose current is zero.
In the table below, the example numbers are those used in the publication. The quoted publication value is the mutual inductance calculated using the accurate method described in the publication.
| Example | Publication value | BiotSavart value | BiotSavart file |
|---|---|---|---|
| 1 | 0.845445762 mH | 0.8451533 mH | babic1.biot |
| 2 | 0.5413 µH | 0.5396154 µH | babic2.biot |
| 3 | 3.73728054 mH | 3.718577 mH | babic3.biot |
| 4 | 70.77152437 mH | 70.74729 mH | babic4.biot |
| 5a | 3.13963522 µH | 3.134583 µH | babic5a.biot |
| 5b | 2.11712450 µH | 2.115996 µH | babic5b.biot |
| 5c | 0.91639702 µH | 0.9157659 µH | babic5c.biot |
| 6 | 0.4915 mH | 0.4917843 mH | babic6.biot |
| 7 | 1.30917648 µH | 1.309130 µH | babic7.biot |
Examples 5a, 5b, and 5c are three configurations of a linear induction launcher.
