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Main >> Applications >> Sample problems >> Spiral coil inductance

Flat spiral coil inductance

QuickField simulation example

This is an example of the flat (spiral) coil inductance calculation, performed with QuickField simulation software.

Problem Type
Axisymmetric problem of DC magnetics.

Geometry
Flat spiral coil inductance We represent the spiral coil in the form of concentric closed circles having the radii of the midlines of each turn. r 0.75 R 10.75 1 1

All dimensions are in millimeters.

Given
The wire diameter = 1 mm.
The wire material - copper;
The current in the coil I = 1 A.

Task
Determine the inductance of the spiral coil.

Solution
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.

Results
The coil inductance L = 2*9.89*10-8 / 1² = 198 nH.
Magnetic field distribution in the flat concentric coil:
concentric flat coil inductance