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Published: 23 January 2015

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Toroidal coils on ferrite ring or rings of carbonyl iron powder is widely used in amateur radio designs. Their advantage is the high combined inductance with small stray field. Calculation of the coil can be carried out in various ways. The most used method for calculation is based on a special parameter A_{L}. This parameter is usually included in the specification of the ferromagnetic rings and published by manufacturers [Example for the Amidon™ ferrite ring]. Numerical parameter A_{L} is the inductance in uH at 100 turns of the coil for the iron powder ring or the inductance in mH at 1000 turns of the coil for the ferrite ring. Knowing the A_{L} parameter, the number of windings of the toroid can be calculated using the following expressions:
The first formula for the iron powder ring, the second formula for the ferrite ring.
Calculation in the Coil32 program is based on two empirical formulas. For the calculation by these formulas is enough to know the dimentions of the ring and its permeability.
All dimensions are in millimeters, the inductance in uH.
At the same time, by the numerical algorithm the program calculates the length of wire needed for the winding. Wire length is calculated with a margin of 10 cm on the "ends". If on finish you see string:"Coil can not be realized!", it means that the wire can not be placed in inner diameter of the ferromagnetic ring and you must decrease the diameter of wire. Calculation of inductance on a ferrite ring in the online calculator is based on the same formulas.
The program includes plugin named Ring_permeability, which allows you to calculate an unknown permeability of ferrite ring. Let's say you have a ferromagnetic ring, and you know nothing about its characteristics. In this case it is necessary to wind a few turns on the ring and then to measure the resulting inductance and the dimentions of the ring. From these data, the plugin Ring_permeability allows to estimate permeability of the ring. The calculation uses the same empirical formulas.