Why do resistors always cause a voltage drop equal to the voltage applied?

[Joker93]

Imo, it is true to say that it is very easy to 'intuit' inappropriately by taking classical ideas too far. (19th Century Physicists made that mistake)
If you want to be confident about your ideas then you really have no option but to get into QM. Comparing classical and QM methods can be interesting, of course - but only when you appreciate both approaches. This is why there were such momentous advances in Physics, once QM was developed.
I know it is not necessarily good to quote how the present teaching of Physics is carried out (it may not be optimal) but people are introduced pretty early on, these days, into QM (some might say too early- I'm playing devil's advocate here).

Yes,i agree with you,but educating myself with a more detailed explanation in the classical world is not a bad thing to do.If you know that this is the classical approach and know the difference between this and QM,then in my opinion i do not "'intuit' inappropriately".I only know classical mechanics now,and saying that i do not fully agree with something and trying to find a better answer is a good thing to do.My professor taught us the macroscopic rules but did not mention the approximations.So it is my duty to intuit myself in every way possible by saying "no,i do not agree with you" and trying my best to think or find a good answer.Next stage is QM though!but intuition is intuition.If you build a great intuition in classical mechanics,then this great way of thinking and questioning things sticks with you all the way to QM.So,i will stick to seeking deep answers on whichever approach!thank you for your insight and answers though,they were truly helpful!

 

[jim hardy]

Our circuit laws were derived before discovery of electron and invention of QM. So they're macroscopic and work very well for practical purposes.But it's always interesting to examine everyday things under a microscope.
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmmic.html#c2

I was always fascinated by the idea of Barkhausen effect

and have long wondered if some similar phenomenon exists for conduction in metals.
I think one does.
Here's a couple of interesting articles on electrical noise that, i think, touch on your questions.

http://in4.iue.tuwien.ac.at/pdfs/iwce/iwce3_1994/pdfs/pp029-032.pdf
http://users.ece.gatech.edu/phasler/Courses/ECE6414/Unit1/Rahul_noise01.pdf

The myriads of random events that happen at microscopic scales cause fluctuations in the values of macroscopic variables such as voltage, current, and charge. These fluctuations are referred to as noise.

We've got meters nowadays so much more sensitive than those available to the pioneers we can measure things they could only dream of. So it becomes possible to study microscopic effects.

The macroscopic view solves 99.9% of everyday problems. So that's why everyday folks like me aren't much concerned with the micro view except as intellectual curiosities.

No offense intended, indeed you can do science a favor by explaining esoteric subjects clearly.
My old favorite science guy Lavoisier said "By improving our language we reason better."

Good luck in your studies.

 

[Joker93]

Our circuit laws were derived before discovery of electron and invention of QM. So they're macroscopic and work very well for practical purposes.But it's always interesting to examine everyday things under a microscope.
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmmic.html#c2

I was always fascinated by the idea of Barkhausen effect

and have long wondered if some similar phenomenon exists for conduction in metals.
I think one does.
Here's a couple of interesting articles on electrical noise that, i think, touch on your questions.

http://in4.iue.tuwien.ac.at/pdfs/iwce/iwce3_1994/pdfs/pp029-032.pdf
http://users.ece.gatech.edu/phasler/Courses/ECE6414/Unit1/Rahul_noise01.pdf
We've got meters nowadays so much more sensitive than those available to the pioneers we can measure things they could only dream of. So it becomes possible to study microscopic effects.

The macroscopic view solves 99.9% of everyday problems. So that's why everyday folks like me aren't much concerned with the micro view except as intellectual curiosities.

No offense intended, indeed you can do science a favor by explaining esoteric subjects clearly.
My old favorite science guy Lavoisier said "By improving our language we reason better."

Good luck in your studies.

thank you for your links!appreciate it!My question was clearly to satisfy my own curiosity and to develop a microscopic intuition.
As for the language,english is not my first language and the subject was a bit hard to explain even for someone whose english is great!
Sorry for the obscureness of the question and thank you for your answers!