No it's not homework, just something I found interesting. I don't really know much calculus, and have not heard of these equations/fomulas.Isd this a homework? Then the right place is in another subchapter of this site. But generally, ANY resistor chain may be solved by number of methods studiued at class 11 secondary school, spring semester. It are 1) sequential branch by branch unitions leading to alone equivalent resistance. Method is simple, but long and not universal enough; 2) Y to delta transformation and delta to Y transformation useful specially for inbanaced bridges calculation; 3) Kirhoff (Kirchoff) equation system where one goes around the circuit branch by branch. Method is absolutely universal, however count of separate equations are killingly much thus without of matrix calculus and MatCad one must die instantly. And its enough to make a mistake of sign even in one member then all the job may be condemned; 4) Thevenin equivalent theorem - absolute universal, absolute simple, absolute effective; 5) Northon equivalent theorem - may say the all best about too. Just take a school book and read it about, the example about ethernal grid is one classical task analysed rather in any of physics electricity books.
I googled it and all of the results seem to use calculus.Thought I recognized XKCD. The answer is all over the internet. Use a search engine!
EDIT: Now after having a look on the internet, I now know the answer. But I'm not telling you!
Clue: Think about the currents flowing into and out of the points.
Another clue: Doesn't matter which two points you use, the answer is always the same!
If you are saying it's an infinite geometric series, then that kind of helps. But how do I figure out which way the current would flow and start simplifying? Also, the approaches on the internet use calculus, not an infinite geometric series. So what would the solution be?It's a bit like that mathematical joke:
An infinite number of mathematicians go into a bar. The first one says "I'll have a pint, please". Second one says "I'll have a half". And so on. How many pints does the barman serve in total?
THAT made my teeth hurt!Something to get your teeth into
Depends if it is Imperial or US measure!It's a bit like that mathematical joke:
An infinite number of mathematicians go into a bar. The first one says "I'll have a pint, please". Second one says "I'll have a half". And so on. How many pints does the barman serve in total?
Reminds me of the old one we were often posed.I have tried and am very confused. How does one solve it?
That one's a lot easier to solve -- it's just a series of linear equations.Reminds me of the old one we were often posed.
A cube made up of 1 ohm resistors, what is the resitance between diagonal corners of the cube?
Max.
Ok thanks! lol thats very complicated though.Something to get your teeth into:
https://www.mathpages.com/home/kmath668/kmath668.htm
by Robert Keim
by Luke James
by Gary Elinoff