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Infinite Grid of Resistors

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Re: Infinite Grid of Resistors

#111
post #109
post #83

Aside: Veritasium had a great video similar to this on the paths that light takes. I'll link to the part where they do the best physics demo I have ever seen : https://www.youtube.com/watch?v=qJZ1Ez28C-A&t=1500

sadly the demo is not so impressive as they make it out to be: The extra-path light is 'caused' by exit diffraction of the light source. Now, the same underlying theory also explains why there will always be diffraction from any finite boundary resulting in a reality which is indistinguishable from one where light actually takes all possible paths. But to argue that it actually does is arguably more meta-physics than…

I'm sorry what?

What do you mean by diffraction here? Are you talking about the bokeh?

The laser isn't interacting with any other elements than the air before it makes the gradient sheet light up. And the permisivity of the air is about the same as vacuum here.

Like, the grating is going to show a diffraction pattern similar to any pinhole aperture source [0] because of the 'half cancellations' they kinda explain, but not all that in depth.

But since there are no elements in the path yet, the only conclusion we can make is that of Feynman's - that the light is in fact taking all possible paths and then cancelling out to make the laser light we normally experience.

What am I missing? To me this demo is like mind boggling as it shows that the wave model is the correct one even with a laser.

[0] https://external-content.duckduckgo.com/iu/?u=https%3A%2F%2F...

Something like (a) above, though I'm not confident that this is really showing that exactly.

Re: Infinite Grid of Resistors

#112
post #87

Dumb question but why isn’t a vacuum considered an infinite grid of resistors?

Because it is effectively a superconductor! An electron (or proton) with some velocity will keep going in a straight line forever. This is neglecting the influence of stray background magnetic fields and gravitational fields, but the general notion applies.

Re: Infinite Grid of Resistors

#113
post #96
post #70

People think this is not relevant to real world problems but it actually is, albeit all the calculations aren't that relevant. Silicon substrate's resistance is basically an infinitely large grid of unut resistances at the distances relevant for a local point of an IC. Note that silicon substrate is often heavily doped (p-type) and all info you get from the fab is it's resistivity (often somewhere between 1 to 100 oh…

My vague understanding of photolithography is that it's hard, though I didn't realise it's bad enough to evoke an egyptian goddess. I'll see myself out.

The word used to pray to Unut is 'ohm', I believe...

Re: Infinite Grid of Resistors

#114
post #3

I'm a bit mathematician and a bit electrical engineer. The electrical engineer suggests it's not measurable unless you apply current and also asks "when" after the current is applied referring to the distributed inductive and capacitive element and the speed of field propagation. The mathematician goes to a bar and has a stiff drink after hearing that.

Does Schrodinger's cat study Fourier transforms?

I think they are called furrier transforms, you lick something that has a certain shaped that can be described frequency curves, then you throw up a furball that to any cat accurately describes the licked object.

Re: Infinite Grid of Resistors

#115
post #70

People think this is not relevant to real world problems but it actually is, albeit all the calculations aren't that relevant. Silicon substrate's resistance is basically an infinitely large grid of unut resistances at the distances relevant for a local point of an IC. Note that silicon substrate is often heavily doped (p-type) and all info you get from the fab is it's resistivity (often somewhere between 1 to 100 oh…

The units of resistivity are ohm * cm not ohm/cm. (I worked at Fairchild a long time ago.)

Correct. Sorry for the typo. I was very sleepy.

Re: Infinite Grid of Resistors

#116
post #96
post #70

People think this is not relevant to real world problems but it actually is, albeit all the calculations aren't that relevant. Silicon substrate's resistance is basically an infinitely large grid of unut resistances at the distances relevant for a local point of an IC. Note that silicon substrate is often heavily doped (p-type) and all info you get from the fab is it's resistivity (often somewhere between 1 to 100 oh…

My vague understanding of photolithography is that it's hard, though I didn't realise it's bad enough to evoke an egyptian goddess. I'll see myself out.

Sorry for the uncut unut units.

Re: Infinite Grid of Resistors

#117
post #71

Now I'm wondering if anyone has built a very large grid of resistors to try to approximate / curve fit this. Surely there's a youtube video in this ...

I imagine that a 100x100 grid of resistors all terminated in a massive resistor would be the same as long as you kept to the middle of the grid for testing.
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