Research website of Vyacheslav Gorchilin
The combination of LC resonance mode of standing waves in the inductor.
Calculation online
The length of the wire, m
The core diameter of wires, mm
Diameter of coil, mm
Additional data
The frequency of the standing wave in the coil
Harmonic LC resonance
Additional capacitance pF
Dielectric permittivity
The thickness of the coil, mm
The resonant frequency, MHz: 3.07
Inductance, µh: 543
Self-capacitance, pF: 4.9
Number of turns: 250
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It is known that the coil has its own inductance and capacitance, and hence the LC self-resonance. If the coil be seen as a long line, at certain frequencies it will occur and also the mode of standing waves. The combination of these two modes leads to a sharp uvelicheniyu q-factor of the circuit and the efficiency of the second kind2) in real devices. Read more about this here.

In this simulation zadeystvovany fairly accurate formula to determine inductance and self-capacitance of the coil, as well as the data taking into account nonlinear character of change of speed of propagation of waves depending on the frequency, and winding parameters.

In the graph, the horizontal axis represents the values of the coefficient of the winding, which is, as the ratio of the winding pitch to the diameter of the wire cores. In fact, this factor determines the design of the coil. The vertical axis is frequency in megahertz. The orange curve shows the LC resonance, and the blue wave. To the right of the graph presents data of the coil, are calculated for the point of intersection of these curves.

To extend the computational range added the ability to connect to external coil for more capacity, and for special modes — work on any harmonic LC resonance (defaults to first).

Optionally, you can enter data of relative permittivity of the coil and its thickness. By default, the relative permittivity equal to one.

Saving data
This calculator can save the results of calculations in to your account. For this you have to be registered on this website. You can save the result of the calculation, which is here called the word "draft" by clicking on "save to account", and then completely restore the data from the section "My projects".
The materials used
  • Volkov V. A. Parts and assemblies of electronic equipment
  • Alan Payne. SELF-RESONANCE IN COILS, 2014
  • Dielectric permittivity
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