Re: Simple Question

On Wed, 27 Sep 2006 16:37:13 GMT, "Bob Myers"
<nospamplease@xxxxxxxxxxxxxxx> wrote:

"Leo Meyer" <leomeyer_NO_SPAM_FOR_ME@xxxxxx> wrote in message
news:efde0h$d0j$1@xxxxxxxxxxxxxxxxxxxxxxxxxxxx
Imagine an infinitely large grid of resistors. In between two points, you
have an infinite number of paths through the adjacent resistors, which are
connected in series so we can treat them as one resistor.
Now if you connect an infinite number of resistors in parallel, you will
get zero ohms, no matter how large they are.

Nope; as was already mentioned, the number resulting from
the sum of an infinite series doesn't have to itself be infinite
(or zero).

Right. If it were always the case that an infinite sum resulted in
the extreme conclusion of either infinity or zero, there is a lot of
the world we'd still not understand well and calculus would be pretty
much rendered useless on the whole.

The very suggestion that Leo makes tells me that he hasn't been
usefully exposed to calculus.

Jon
.

Relevant Pages

  • Re: A FAQ for Xmas
    ... > and therefore the volt/time product of this is zero and it is zero ... > infinite number of orders of magnitude less than unity, ... Maybe I'm being way to simplistic here, but isn't this just a basic calculus ... as we approach closer and closer to that ...
    (comp.dsp)
  • Re: Simple Question
    ... If you connect two resistors in parallel, ... The original post described an infinite ... True, if connecting the parallel resistors one by one, the drop in ... I like your analogy with the copper sheet, ...
    (sci.electronics.basics)
  • Re: Simple Question
    ... If there existed and infinite two dimewnsional array of 1 ohm resisters, ... If you connect two resistors in parallel, ... An infinitely large capacitor ...
    (sci.electronics.basics)
  • Re: Simple Question
    ... "grid" of resistors - i.e., ... It's less than 3 ohms but more than zero. ... Now we need to find someone with that infinite matrix, ...
    (sci.electronics.basics)
  • Re: Shortage of qualified Java programmers
    ... > "On an infinite, two-dimensional, rectangular lattice of ... > 1-ohm resistors, what is the resistance between two nodes ... Not an interview question. ...
    (comp.lang.java.programmer)
Quantcast