Flat spiral coil inductance - QuickField simulation example
This is an example of the flat (spiral) coil inductance calculation, performed with QuickField simulation software.
How to find inductance of flat spiral coil?
Engineering answer Typical applications Geometry
All dimensions are in millimeters.
Given
Task
Solution
Results
Engineering question
Set up an axisymmetric QuickField DC Magnetics problem for a flat spiral coil and evaluate inductance from computed field results.
planar spiral coils, PCB spiral inductors, flat loudspeaker coils
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Simulation problem
Problem Type
Axisymmetric problem of DC magnetics.
The wire diameter = 1 mm.
The wire material - copper;
The current in the coil I = 1 A.
Determine the inductance of the spiral coil.
We represent the spiral coil in the form of concentric closed circles having the radii of the midlines of each turn. In this formulation, the problem can be modeled as an axisymmetric 2D.
Inductance can be calculated from the energy of the magnetic field W:
L = 2*W/I².
The coil inductance L = 2*9.89*10-8 / 1² = 198 nH.
Magnetic field distribution in the flat concentric coil:
Video
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