For example, the filling ratio of the the square coil shown in the picture above is ρ = 0.42. For small ρ, the coil is hollow ( d out ≈ d in) and for a large ρ, the coil is full (d out > d in). The filling ratio ρ represents how hollow the spiral coil is. Ρ is the filling ratio of the coil defined as K 1 and K 2 are the empirical dimensionless coefficients, which are dependent on the coil shape (see Table 1 below),ĭ avg is the average diameter in meters and The inductance of a single-layer square, hexagonal and octagonal spiral coils is calculated using a modified Wheeler formula : Μ 0 is the vacuum permeability in henries per meter (H/m), L is the inductance measured in henries (H), To calculate the inductance of a single-layer circular spiral coil, we use a modified Harold A.
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