Brooks coil

QuickField simulation example

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

Engineering question
How to find inductance of Brooks coils

Engineering answer
Set up an axisymmetric QuickField DC Magnetics problem for a Brooks coil winding system and evaluate inductance from computed field results.

Typical applications
precision inductors, laboratory reference coils, metrology coil geometries

• Download simulation files (files may be viewed using any QuickField Edition).

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.

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

• Video: Brooks coil. Watch on YouTube
  
• View simulation report in PDF
• Download simulation files (files may be viewed using any QuickField Edition).