CrazyEngineers Archive

Old, but evergreen and popular discussions on CrazyEngineers, presented to you in read-only mode.

@xheavenlyx • 09 May, 2011

On an infinite grid of ideal one ohm resistors, what is the equivalent resistance across the two given points?

A clearer image:

A clearer image:

@ISHAN TOPRE • 09 May, 2011
I guess 2R. 😀

@Harshad Italiya • 10 May, 2011
I think it will be R only.

@xheavenlyx • 10 May, 2011
Hmm. I will wait for about 2 more days before I try to solve it myself or post the answer (from another source).

@everett.pattison • 10 May, 2011
I am guessing that it will be approaching zero but never reaching it because all the resistors in parallel will continuously reduce the resistance lower and lower and lower.

@xheavenlyx • 10 May, 2011
Ishutopre, godfather give your proofs in a bit more detail.

@silverscorpion • 10 May, 2011
Is the first image from xkcd? I remember something like this in one of the cartoons there.. 😀

Anyway, in the second diagram, are the nodes across which you want the effective resistance same as in first pic?

I'm working on it. Will post my answer later!!

Anyway, in the second diagram, are the nodes across which you want the effective resistance same as in first pic?

I'm working on it. Will post my answer later!!

@PraveenKumar Purushothaman • 11 May, 2011
It would be sqrt(R)

@xheavenlyx • 11 May, 2011
Yes silver the first one is from xkcd, thats where I got the question from. It was from Physicist Sniping. I will look for the comic and post it here. And Praveen, please provide proof and calculations with your answer. We need a discussion too 😀

@PraveenKumar Purushothaman • 11 May, 2011

Er... Its a wild guess of resistance across a square is the square root of the resistance... Am I right? Got this logic from my physics book of 10th std... 😛xheavenlyxYes silver the first one is from xkcd, thats where I got the question from. It was from Physicist Sniping. I will look for the comic and post it here. And Praveen, please provide proof and calculations with your answer. We need a discussion too 😀

@xheavenlyx • 11 May, 2011
xkcd: Nerd Sniping - one of the best geek comic strip I've come across in the recent times. Check it out and share your comment below.

@PraveenKumar Purushothaman • 11 May, 2011
You mean to say that guy is dead??? Lorry foooom???

@maraitamilan • 11 May, 2011
1/R(total) = 1/R1 + 1/R2 + 1/R3 ....... + 1/Rn here n tends to infinity so the resistance across the network may be infinite am i right???????? 😀

@xheavenlyx • 11 May, 2011
Yea if you kill a physicist you get 2 points, one mathematician 3 points. Try it at your local university.

Thanks maraitamilan, I will keep your answer in mind.

Thanks maraitamilan, I will keep your answer in mind.

@PraveenKumar Purushothaman • 11 May, 2011

Adoppaavingala (oh my god fellas), this is too much... But yeah, funny too! 😀xheavenlyxYea if you kill a physicist you get 2 points, one mathematician 3 points. Try it at your local university.

Thanks maraitamilan, I will keep your answer in mind.

@amar.amar • 13 May, 2011
is it 3R....

@amar.amar • 13 May, 2011
dis might b wrong yaar as ur calculating between two points ther must b a resistance value,,,wel if this is right it should b 0 since u calculated 1/R(total)

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