Incorrect calculated Brooks coil inductance
Task Calculate Brooks coil inductance.
Brooks coil has specially adjusted dimensions, which assure the maximum inductance value for a given wire length. Given Current I = 1 A, Number of turns N = 200, c = 20 mm.
Solution Brooks coil inductance can be calculated using equation: L = 1.6994·10-6·(3/2·c)·N² [H]*, where N - number of turns.
Results Theoretical value L = 1.6994·10-6·(3/2·20·10-3)·200² = 0.002039 H. Calculation in Gmsh &GetDP L= 4.96279e-08
It's not clear where the error might be