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Brooks coil

QuickField simulation example

Brooks coil has specially adjusted dimensions, which assure the maximum inductance value for a given wire length.

Problem Type
Axisymmetric problem of DC magnetics

Geometry
Brooks coil model Brooks coil has specially adjusted dimensions, which assure the maximum inductance value for a given wire length. c 2c 3c 4c

Given
Current I = 1 A,
Number of turns N = 200,
c = 20 mm.

Task
Calculate Brooks coil inductance.

Solution
Brooks coil inductance can be calculated using equation:
L = 1.6994·10-6·(3/2·cN² [H]*,
where N - number of turns.

Results
Theoretical value L = 1.6994·10-6·(3/2·20·10-3)·200² = 0.002039 H.
one turn loop magnetic field

  QuickField Theory Error
L, H 0.002033 0.002039 0.3%

Reference: *Frederick W. Grover, Inductance Calculations: Working Formulas and Tables, Dover Phoenix Edition (2004). ISBN 0486495779. Page 98.