Flat spiral coil inductance - QuickField simulation example
Inductance of a flat spiral coil for the specified conductor dimensions, number of turns, turn spacing, coil diameter, and surrounding magnetic environment.
How to find inductance of flat spiral coil?
Answer Typical applications Geometry
All dimensions are in millimeters.
Given
Task
Solution
Results
Engineering question
Represent the spiral turns as concentric circular coils and calculate the inductance from the magnetic field energy.
planar spiral coils, PCB spiral inductors, flat loudspeaker coils
Download
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
Related examples