Delightful Circuit Analysis Paradox

Nov 10, 2004 6 Replies

I came across this rather excellent problem in circuit analysis puzzles the other day and to be quite honest it had me scratching my head for quite a while! It may seem rather trivial at first but when you look closely at it it really is quite the teaser. :)


  1. Apply the "node analysis" method to determine the voltages at all the nodes of the accompanying circuit.


Note: I HAD to put it on this website because it's impossible to draw in ascii. This is NOT usenet filth, and it is just a geocities site.



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Please, please PLEASE help me!!!


It is an easy problem. Go buy a Schalms outline at the bookstore.

Is it easier to draw the problem, scan it in, post it on a newsgroup and wait for someone to respond than it is for you to simply do the problem?

Just figure out what all the currents are per node, and then what all the voltages are per loop. (it really is EZ)

What is excellent about it? It is not a puzzler. Convert the voltage source to a current source and you have a 3 node (+common) problem - You have this problem for a purpose.

in article z5Ckd.184223$%k.138100@pd7tw2no, Don Kelly at snipped-for-privacy@peeshaw.ca wrote on 11/10/04 8:43 PM:

What is excellent about it? It is not a puzzler. Convert the voltage source to a current source and you have a 3 node (+common) problem - You have this problem for a purpose.

An additional suggestion is to make a star-delta (or tee-pi if you prefer) transformation of the 20, 20, 18 ohm combination.

Bill

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