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way. Does this class of solution exists? I could not find it anywhere.
On Apr 19, 2011, at 8:29 AM, CARABAJAL PEREZ, MARCIAL ROBERTO wrote:
Hello:
Please, I am looking to develop an infinite network of resistances
in this way
--R1 ----|----R1----|----
R3 R3 ...................>>>>
--R1 ----|----R1----|----
I know that the solution is Req = R1 + sqr(R1*R1 + 2 R1*R3)
The idea is to resolve it as a limit of a serie, but I can´t find the
I would appreciate any help with this problem.
My best regards.
Roberto
Howdy,
Call the total resistance of the system R. Imagine making a vertical
cut to the right of the first R3. Notice that since it's infinite what
is left to the right is the same circuit so it must have resistance R.
Then what you have is just
--R1 ----|----|
R3 R
--R1 ----|----|
so that
R = 2(R1) + 1/(1/(R3) + 1/R)
and solve for R.
Good Luck,
Herb Schulz
(herbs at wideopenwest dot com)
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