Alternating current

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it's a cube-root instead of a square-root


when you write the square-root sign, it is implied that there is a 2 there, so they never put it, but when you have a root that is anything over than 2, they put the number there, such as a cube-root, or a forth-root


so what a square root means is "what number multiplied by itself once (X times X) will give me the number i have"


ex square root of 4, what number multiplied by itself gives me 4, so 2 is the square root of 4


so if i have a cube root, i say "what number multiplied by itself twice (X times X times X) will give me the number i have"


ex cube root of 8, what number [X times X times X] gives me 8? i've chosen this example to be easy again, 2 times 2 times 2 = 8, so the cube root of 8 is 2


there is a way to calculate this on any fancy calculator, you'll see the root button with a x where the 3 is, again if the root is 2, then they just leave it out of the symbol

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The polarities to change of resonant frequency



When approaching HIGHER yields of gas (cranking up the production) this creates a higher gas content in the cavitation it will have the following effects to the frequency of resonant action for a resonant cavity

Electrical = gas is less conductive then water so it will slow down the charge time of the capacitance. slowing down its charge rate will lower the resonant electrical frequency

Acoustical= sound travels faster in fluid then gases so gas will slow down the speed of sound..  slowing down the speed of sound will lower the  resonant acoustical frequency


When approaching ANY yield of production the amount of contaminates will create the following changes to the frequency of resonant action for a resonant cavity.

Electrical = Contaminates are more conductive then water so they will create a faster charge time then distilled water. This will higher the frequency of resonant action within a resonant cavity.

Acoustical=  contaminates are typically solids and sound travels through solids faster then liquids such as distilled water.. Solids will allow sound to travel faster though water and this will higher the frequency of resonant action  in the resonant cavity..


So as we can see it is very logical that the gasses will create the same type of change in resonant frequency for both electrical and acoustic

As well the contaminates will speed both electrical and acoustic (charge time and speed of sound) resonant frequency..

I think by knowing the characteristic of natural water, it gives you a the information for tuning the circuit (dielectric properties (acoustical and electrical)

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Thanks donald for responding to the mathematical question.. much appreciation. 

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Keep in mind that the gas is being pumped out with new water to take it's place, in high yield systems, also if the gas is pressurized (up to 50 psi maybe) then it will still be fairly dense, so the speed of sound wont have such a large difference in it then that of water,  although i haven't done the math.

all these changes in the whole system, stan says is within 20%, so if you have a target at 5000 Hz, that might be 4500 Hz to 5500 Hz, and depending on the Q, 20% variance could still have a huge amplitude response near resonance