Department of Energy Argonne National Laboratory Office of Science NEWTON's Homepage NEWTON's Homepage
NEWTON, Ask A Scientist!
NEWTON Home Page NEWTON Teachers Visit Our Archives Ask A Question How To Ask A Question Question of the Week Our Expert Scientists Volunteer at NEWTON! Frequently Asked Questions Referencing NEWTON About NEWTON About Ask A Scientist Education At Argonne Infinite Resistor Grid
Name: Julius
Status: student
Age: N/A
Location: N/A
Country: N/A
Date: N/A


Question:
On an infinite grid of one Ohm resisters what is the resistance between two nodes one knights move away? My friend asked me this question and I had no idea, so I asked my AP Physics teacher. He did not have an answer either so I turn to the plethora of knowledge that is the Internet.



Replies:
http://imgs.xkcd.com/comics/nerd_sniping.png

This is a classic problem in physics (it has its own *cartoon*!), so rather than repeat the solution here, I shall refer you to one of several solutions easily found through almighty Google:

http://www.geocities.com/frooha/grid/grid.html

Incidentally, may I suggest you seek revenge on your friend by asking him/her to calculate the same resistance, but for a 3D grid. You may find this useful in judging the response: http://arxiv.org/abs/cond-mat/9909120

Other references of note:

http://f2.org/maths/resnet/ (#10) http://mathworld.wolfram.com/news/2004-10-13/google/

Look out for trucks!

Burr Zimmerman



Click here to return to the Physics Archives

NEWTON is an electronic community for Science, Math, and Computer Science K-12 Educators, sponsored and operated by Argonne National Laboratory's Educational Programs, Andrew Skipor, Ph.D., Head of Educational Programs.

For assistance with NEWTON contact a System Operator (help@newton.dep.anl.gov), or at Argonne's Educational Programs

NEWTON AND ASK A SCIENTIST
Educational Programs
Building 360
9700 S. Cass Ave.
Argonne, Illinois
60439-4845, USA
Update: June 2012
Weclome To Newton

Argonne National Laboratory