Is there a small discontinuity in calculated inductances around ℓ = D?
Yes, there is. Thomas Bruhns, K7ITM discovered this little flaw. It is entirely due to the intrinsically discontinuous formulation of Lundin’s Handbook Formula, used to obtain the field non-uniformity correction factor kL. Nonetheless, this is a state-of-the-art formulation, since alternative formulations produce even larger errors[2]. The discontinuity in calculated inductances appears only around ℓ = D. It is only pronounced when the sum (ks + km) is relatively small in comparison to kL; i.e. for really thick, closed-spaced turns. However, even then, the error in calculated inductances amounts to only approximately 0.5%. Dr. David W.
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- Is there a small discontinuity in calculated inductances around ℓ = D?
