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Brooks coil

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

Problem type:
Axisymmetric problem of DC magnetics

Geometry:

one turn loop inductance

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

Problem:
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%

Download Download simulation files brooks_inductor.zip.

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