The previous post explained the fundamental secrets behind developing a low cost yet effective induction cooktop at home, in this article we will see how this can be implemented by specifically calculating its crucial parameters such the resonance of its tuned LC circuit and the correct dimension of the coil wire for ensuring an optimal current handling capacity.

### What is Resonance in Induction Heater LC Circuit

When

the capacitor within a tuned LC circuit is momentarily charged, the

capacitor tries to discharge and dump the accumulated charge over the

coil, the coil accepts the charge and stores the charge in the form of

magnetic field. But as soon as the capacitor has discharged in the

process, the coil develops an almost equivalent amount of charge in the

form of magnetic field and it now tries to force this back inside the

capacitor, although with an opposite polarity.

**Image courtesy: **

**https://en.wikipedia.org/wiki/LC_circuit#/media/File:Tuned_circuit_animation_3_300ms.gif**

The

capacitor is again forced to charge but this time in the opposite

direction, and as soon as it's fully charged, it yet again tries to

empty itself across the coil, and this results in a back and forth

sharing of charge in the form of an oscillating current across the LC

network.

The frequency of this oscillating current becomes the resonance frequency of the tuned LC circuit.

However

due to inherent losses the above oscillations eventually die out in the

course of time, and the frequency, the charge all come to an end after

sometime.

But if the frequency is allowed to sustain

through an external frequency input, tuned at the same resonance level,

then that could ensure a permanent resonance effect being induced across

the LC circuit.

**At resonance frequency we can expect the amplitude of the voltage oscillating across the LC circuit to be at the maximum level, resulting in the most efficient induction. **

Therefore we can assume that to

implement a perfect resonance within an LC network for an induction

heater design we need to ensure the following crucial parameters:

1) A tuned LC circuit

2) And a matching frequency to sustain the LC circuit resonance.

This can be calculated using the following simple formula:

**F = 1 ÷**

**2π**x

**√LC**

where L is in Henry and C is in Farad

If you don't want to go through the hassles of

calculating the resonance of the coil LC tank through formula, a much simpler option could

be to use the following software:

LC Resonant Frequency Calculator

### Calculating Wire Size for Induction Heater Work Coil

Once

you have calculated the optimized values of L and C for the tank

circuit of the induction heater and evaluated the exact compatible frequency for the driver circuit, it's time

to calculate and fix the current handling capacity of the work coil and

the capacitor.

Since the current involved within an

induction heater design could be substantially large, this parameter

cannot be ignored and must be correctly assigned to the LC circuit.

Using

formulas for calculating wire sizes for an Induction wire size may be a

little difficult especially for the newcomers, and that's exactly why a

special software for the same has been enabled in this site, which any

interested hobbyist can use to **dimension the right size wire** for your induction cooktop circuit.

Faizan Hamayun says

Can you tell me how to generate 3 tesla magnetic field? i need to test a device under this field?

Swagatam says

sorry i do not have much information about this concept…

faith jumbo says

sir please can u give me a comparator circuit using 555 timer i want to make a comparator using 555 time not lm939

Swagatam says

you can try the last circuit from the following article

http://www.homemade-circuits.com/2012/01/how-to-make-light-activated-day-night.html