Current flow quandary. Capacitors VS Resistors

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Discussion Overview

The discussion revolves around the behavior of current in circuits containing resistors and capacitors, exploring how current flows in different configurations, particularly in parallel arrangements. Participants examine the implications of resistance values and the concept of current "short-cutting" through components.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants assert that current will not flow through resistors when they are short-circuited, as indicated by the voltage difference being zero.
  • Others express the idea that current prefers to bypass resistors and capacitors, viewing this behavior as a "short-cut." However, this perspective is challenged by a participant who emphasizes that electrons do not possess intent.
  • There is a discussion about the equivalent resistance of two resistors in parallel, with one participant questioning how current would split between a 100 ohm and a 0.000000001 ohm resistor, suggesting that the smaller resistor would dominate the current flow.
  • A later reply clarifies that while the 100 ohm resistor is not ignored, its effect on the equivalent resistance is negligible compared to the smaller resistor.
  • One participant introduces engineering notation to express resistance values more succinctly, suggesting it as a useful shorthand.

Areas of Agreement / Disagreement

Participants express differing views on the nature of current flow and the behavior of electrons in circuits. While some agree on the implications of short-circuiting resistors, others challenge the anthropomorphizing of electrons, indicating a lack of consensus on the interpretation of current behavior.

Contextual Notes

There are unresolved assumptions regarding the behavior of current in circuits, particularly in relation to the definitions of resistance and current flow in parallel configurations. The discussion also reflects varying levels of understanding among participants regarding capacitors and coils.

Femme_physics
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Yes! :smile:

And before you ask, it's the same with coils!

Note that the voltage difference over the relevant 2 resistors is zero, since it is short circuited.
A voltage difference of zero means that no current will flow.
 
Awesome! So, basically, current wants no dealing with resistors or anything that appears to "consume" them or makes them get to some place tons slower. They just...take a short-cut! Even with capacitors...and apparently, coils! Even though we're still not high-up on coils in my class (capacitors are still relatively new, had 2 classes on it).
 
Femme_physics said:
Awesome! So, basically, current wants no dealing with resistors or anything that appears to "consume" them or makes them get to some place tons slower. They just...take a short-cut! Even with capacitors...and apparently, coils! Even though we're still not high-up on coils in my class (capacitors are still relatively new, had 2 classes on it).

Yes! :smile:

Suppose you have 2 resistors in parallel, with say resistances of 100 ohm and 0.000000001 ohm.
What would the equivalent resistance be?
And assuming we have an incoming current of 1 ampere, how would it split over the 2 resistors?

And once you start with capacitors, I think coils won't be far behind. :wink:
 
Suppose you have 2 resistors in parallel, with say resistances of 100 ohm and 0.000000001 ohm.
What would the equivalent resistance be?
And assuming we have an incoming current of 1 ampere, how would it split over the 2 resistors?
I imagine that since the different is so gargantuan, the 100 ohm is being ignored and the current only flows through the 0.0000000000000001 ohm resistor?
PS :) I love your "yes!" with the smiley, you're so encouraging!
 
Femme_physics said:
I imagine that since the different is so gargantuan, the 100 ohm is being ignored and the current only flows through the 0.0000000000000001 ohm resistor?

PS :) I love your "yes!" with the smiley, you're so encouraging!

Thanx! :cool:

And yes! :smile:

That is, the 100 ohm is not ignored, but the effect on the equivalent resistance and the current through it is negligibly small.
 
100 ohm is being ignored and the current only flows through the 0.0000000000000001 ohm resistor?

I recommend the standard engineering shorthand - The E notation.

100 = 1E2 = 1*102

0.0000000000000001 = 1E-16 = 1*10-16

It is a very handy notation.
 
Femme_physics said:
Awesome! So, basically, current wants no dealing with resistors or anything that appears to "consume" them or makes them get to some place tons slower. They just...take a short-cut! Even with capacitors...and apparently, coils! Even though we're still not high-up on coils in my class (capacitors are still relatively new, had 2 classes on it).
Do not think that electrons are sentient. They are not intelligent agents, they are dumb particles. They do not "take a short-cut because they don't want to deal with stuff", they are "divided among parallel branches proportional to their conductance".
Femme_physics said:
Dooly noted :)
Duly. (It may have been a deliberate error, but I have no way of knowing that and I make it a point to correct non-native speaker's mistakes, just in case)
 

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