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
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·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.
QuickField | Theory | Error | |
L, H | 0.002033 | 0.002039 | 0.3% |
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Reference: *Frederick W. Grover, Inductance Calculations: Working Formulas and Tables, Dover Phoenix Edition (2004). ISBN 0486495779. Page 98.
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