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- Path: sparky!uunet!stanford.edu!rutgers!ub!acsu.buffalo.edu!kriman
- From: kriman@acsu.buffalo.edu (Alfred M. Kriman)
- Newsgroups: sci.physics
- Subject: Re: ... an infinite mesh of 1ohm resistors ...
- Summary: A pointer to a published instance of the problem.
- Message-ID: <Bs8453.35p@acsu.buffalo.edu>
- Date: 30 Jul 92 22:36:38 GMT
- References: <1992Jul28.093201.10671@fs7.ece.cmu.edu> <1992Jul30.025452.23086@mixcom.com>
- Sender: nntp@acsu.buffalo.edu
- Organization: "UB" = State Univ. of New York at Buffalo
- Lines: 35
- Nntp-Posting-Host: lictor.acsu.buffalo.edu
-
- In article <1992Jul30.025452.23086@mixcom.com> Adam Costello ttyytt@mixcom.com
- writes:
- >In article <1992Jul28.093201.10671@fs7.ece.cmu.edu> snyder@henry.ece.cmu.edu
- (John Snyder) writes:
- >>[...]
- >>no capacitors present. We solved *MANY* such problems in Electrical
- >>Engineering 101 (groan! (:^)). The current goes in at terminal A, and
- >>out at terminal B. I cannot seem to locate the original problem, but my
- ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
- >[...]
- >the current comes out terminal B, but doesn't go in anywhere. I doubt
- >you ever did anything like this in EE 101. (I sure didn't!)
- ^^^^^^^^^^^^^^^^^^^^^^^^^^^^
- >By the way, if you've forgotten the original problem, here it is in a
- >nutshell:
- >
- >What is the resistance between the two ends of any resistor in an
- >infinite square lattice of 1 ohm resistors?
-
- Could this be a generational thing? This is problem 2.27 of
- _Introduction to Modern Network Synthesis_, by M. E. Van Valkenburg (Wiley,
- New York, 1960). Although it is intended that much of the book be covered in
- a one-semester undergraduate course, "[w]e assume that the reader is familiar
- with the elementary methods of network analysis." On the third hand, chap. 2
- is really review. This is too sweet a problem not to appear in other texts,
- but I haven't seen it. (It's not in Van Valkenburg's more elementary book,
- and not in any of half a dozen rather more recent textbooks scattered around
- here.)
- Also, much of the byegone emphasis on network theorems and equivalent-
- circuit transformations was intended to ease the load on engineers doing
- hand calculations and assisted only by steam-powered abaci. Nowadays, everyone
- uses Spice(TM) to figure the dc current in a one-capacitor network.
- Still, it's a shame that more _fun_ problems don't appear in textbooks.
-
- [ I _know_ that the "correct" spelling is _bygone_.]
-