To understand what i am speaking about let’s say (an improbable diy project) we decide to use a wireless wifi router circuit to get 2.4 GHz an oscillator with sin wave (sin wave is less efficient than square wave) and imagine yourself the output when amplitude of signal is raised to 220 v before feeding the coil using just a rechargeable 9v battery or a simple circuit as Jes Ascanius described where we use energy dumped in supercap.
(I wanted to get here with my proposed home power generator, but nobody wanted to go further lack of response on topic).
To calculate the wire length required for a frequency of 2.4 GHz (2.4 gigahertz), we can rearrange the formula for wavelength:
λ=c/f Where:
λ is the wavelength in meters.
c is the speed of light, m/s
f is the frequency in hertz (Hz).
We want to find L, which is half the wavelength of the wire. So:
L=λ/2
First, calculate the wavelength λ for a frequency of 2.4 GHz than.
Using formulae from above we get: - for a frequency of 2.4 GHz, the wire length required for a half-wavelength is approximately 6.25 centimetres.
What would be multiple 1/2 wave length to keep it resonant ?
To keep a wire resonant, we can use multiples of half-wavelengths (λ/2) as the wire's length. To find the lengths that will maintain resonance, we can use the formula:
Ln=nλ/2
Where:
Ln is the length of the wire for the n-th resonance mode.
n is the mode number (1 for the fundamental mode, 2 for the second harmonic, 3 for the third harmonic, and so on).
λ is the wavelength corresponding to the desired frequency.
In this case, we want to maintain resonance at a frequency of 2.4 GHz, which we calculated earlier to have a wavelength λ of 6.25 centimetres for the half-wavelength.
Now, let's find the lengths for the first few resonance modes:
Fundamental mode (n = 1): L1 = 3.125cm
Second harmonic (n = 2): L2 = 6.25cm
Third harmonic (n = 3): L3 = 9.375cm
These are the lengths of wire that will be resonant at the 2.4 GHz frequency and its harmonics. You can choose any of these lengths to achieve resonance at the desired frequency
So, the higher the frequency the shorter the wire => more concentrated power in a small area … unfortunately this will lead to some electronic components unavailable off the self or near impossible to make it diy in a household.
A simple description that comes to my mind to use an example give by N Tesla: imagine a huge sledgehammer that is hitting with a large amplitude movement million of times per minute … just try to imagine the power generated. And this is not sf story but just a simple circuit which can be scaled up for your needs.
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