The calculated change in inductance when an air-core coil is placed next to a uniform ferromagnetic half-space is found to be well described by a simple two parameter scaling relation for a broad class of coils. The scaling relation is ΔL(ω) = ΔL0L*(ω/ω0). Here, ΔL0 is a constant that determines the overall strength of the inductance change, while the frequency scale is set by ω0, the frequency for which Re ΔL(ω) is zero. We test the hypothesis that the inductance change of a coil next to a uniform ferromagnetic plate can be described by the scaling relation with measurements made on a suite of medium carbon steels.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)