Hello again drpower,
Sorry, i didnt notice the link but now i see it and yes it leads to some interesting circuit stuff. I'd be happy to take a better look at this. They say it works with a wide input range, so that's a very good thing. I still dont know what your input range has to be however, so you may want to mention that.
Just for starters, a squaring circuit can be used to make a square rooter circuit by placing the squaring circuit in the feedback loop of an op amp. It's an old trick used with various functions to get the inverse function. The theory is something like this...
We have a function f(t) and we want F(t) ie the inverse function. By placing f(t) in the feedback loop the output has to be equal to the inverse function in order for the inputs (one f(t) and the other the users input) to become equal. That's because when the output is equal to the inverse function it goes through the feedback loop and then becomes equal to the input again. So the only way the circuit can work (if it is stable) is to output the inverse function. It works with other types of functions too, in short the circuit does:
input1=users input
input2=f(F(t))=input1 (because f(t) is in the feedback path)
So, output=F(t)
I can provide more on this a little later, and i'll look over the schematics you've posted and be back a little later with some more comments.
You should know that there has been more done with squaring (and thus square rooter) circuits done in the not too distant past that you may also want to look into, as well as ready made IC chips that do this function quite well (like 0.3 percent accuracy or around that). I still want to look over the circuits you've posted though.
Back a bit later today...
Sorry, i didnt notice the link but now i see it and yes it leads to some interesting circuit stuff. I'd be happy to take a better look at this. They say it works with a wide input range, so that's a very good thing. I still dont know what your input range has to be however, so you may want to mention that.
Just for starters, a squaring circuit can be used to make a square rooter circuit by placing the squaring circuit in the feedback loop of an op amp. It's an old trick used with various functions to get the inverse function. The theory is something like this...
We have a function f(t) and we want F(t) ie the inverse function. By placing f(t) in the feedback loop the output has to be equal to the inverse function in order for the inputs (one f(t) and the other the users input) to become equal. That's because when the output is equal to the inverse function it goes through the feedback loop and then becomes equal to the input again. So the only way the circuit can work (if it is stable) is to output the inverse function. It works with other types of functions too, in short the circuit does:
input1=users input
input2=f(F(t))=input1 (because f(t) is in the feedback path)
So, output=F(t)
I can provide more on this a little later, and i'll look over the schematics you've posted and be back a little later with some more comments.
You should know that there has been more done with squaring (and thus square rooter) circuits done in the not too distant past that you may also want to look into, as well as ready made IC chips that do this function quite well (like 0.3 percent accuracy or around that). I still want to look over the circuits you've posted though.
Back a bit later today...
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