Brooks coil - QuickField simulation example
Inductance of a Brooks coil whose proportions are chosen to maximize inductance for a given wire length, with comparison to the analytical estimate.
How to find inductance of Brooks coils?
Answer Typical applications Geometry
Given Task
Solution
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Reference: *Frederick W. Grover, Inductance Calculations: Working Formulas and Tables, Dover Phoenix Edition (2004). ISBN 0486495779. Page 98.
Engineering question
Inductance calculated using a 2D magnetic simulation can be verified against the analytical formula.
precision inductors, laboratory reference coils, metrology coil geometries
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Simulation problem
Problem Type
Axisymmetric problem of DC magnetics
Current I = 1 A,
Number of turns N = 200,
c = 20 mm.
Calculate Brooks coil inductance.
Brooks coil inductance can be calculated using equation:
L = 1.6994·10-6·(3/2·c)·N² [H]*,
where N - number of turns.
Theoretical value L = 1.6994·10-6·(3/2·20·10-3)·200² = 0.002039 H.
QuickField
Theory
Error
L, H
0.002033
0.002039
0.3%
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