Re: Simple Question




Chris Foster schrieb:

I have a simple question. This is a qustion that I was asked in a job
interview.


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...)

Very nice and tricky question :)

not sure about it, but if you start from the result for a "simple
move", that is the resistance between two adjacent points, you find 1/4
Ohm as a result. This comes from the simmetry and infinity of the
structure, which in turn demands for the current to split in four equal
parts.
Now, it seems to me that the same argument should hold for your case,
because also here the generator current can't distinguish between the
four directions: in every direction the resistance has the same value.
Therefore, I would have answered 1/4 Ohm.

I'd say that such a lattice has the property that resistance is always
R/4 irrespective the two points taken.

Maybe tomorrow I'll regret giving this answer...Did I get the job? ;-D

M

.



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