Re: Simple Question


"jntel" <jthon@xxxxxxxxxxx> schrieb im Newsbeitrag
news:K_zRg.4740$6S3.933@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx


If there existed and infinite two dimewnsional array of 1 ohm resisters,
what is the resistance between two point seperated by a knights move
(i.e.
up two, over one, or over two and up one.......etc...)


My answer would have been zero ohms.

I believe that you are correct.
The theory:
If you connect two resistors in parallel, the resulting resistance is always
lower than the lowest of either's values. So, if you connect an infinite
number of resistors in parallel, the value is infinitely lower, which is, by
definition, 0.
The practice:
An infinite number of connected resistors, measured across two arbitrary
points, behaves just like an infintely large capacitor (due to the tiny
capacitances of the resistors adding up). An infinitely large capacitor
takes an infinite time to charge, and during this time, exhibits a
resistance of 0 Ohms, which is what you would measure with an ohm meter. In
other words, the current simply gets lost ;-)
Nothing is more practical than a good theory - QED ;-)

Leo


.

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