Potential difference across parallel circuits

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Discussion Overview

The discussion revolves around understanding the potential difference across components in parallel circuits, specifically addressing why the potential difference is the same across different resistors connected in parallel. Participants explore definitions, conceptual explanations, and implications of this phenomenon in various circuit configurations.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants question the definition of potential difference and its implications for energy dissipation across resistors of different resistances in parallel.
  • Others suggest that potential difference is the same across components because they share the same terminals, leading to equal voltage drops.
  • A participant proposes a visualization of resistors as being connected directly across the voltage source, which helps explain why the potential difference remains constant.
  • Concerns are raised about the behavior of charges in the circuit and how they manage to dissipate the same amount of energy despite differing resistances.
  • Some participants introduce the concept of interconnection resistance, noting that real wires have some resistance that could affect voltage measurements across components.
  • Mathematical relationships such as P=VI and the implications of current flow in parallel branches are discussed to explain why voltage remains the same.
  • Participants express uncertainty about the conditions under which these explanations hold true, particularly in non-ideal scenarios.

Areas of Agreement / Disagreement

There is no consensus on a single explanation for why the potential difference is the same across parallel components. Multiple competing views and uncertainties remain regarding the underlying principles and assumptions.

Contextual Notes

Participants acknowledge that real-world factors, such as wire resistance and circuit configurations, may influence the observed potential differences, but these factors are not fully resolved in the discussion.

  • #31
truewt said:
Thank you Bruce. I understand your point here.

So my mistake to begin with is, that electrical potential takes precedence first, hence we see the same potential difference across a parallel circuit (and their components). So my argument is somewhat incorrect to begin with as I had an incorrect starting point to my argument.

Thanks for clearing that up :)
No problem. I think you've got it now.
truewt said:
And oh, the lower the resistance, the higher the amount of energy dissipated (in the parallel circuit). Am I right to say that?
Oops - yeah, I think I might have misstated that. Lower resistance -> higher current -> greater power dissipation. I got thrown off by my friction analogy.:rolleyes:

truewt said:
For the water analogy, is there somewhat a problem with the analogy given? As in the pre-requisites for the water pipes in order for the water pressures to be applicable (applicable as an analogy) for the electric circuit problem?
I'll have to let someone else answer that ... I'm not a big fan of the water analogy, despite its common use for problems like this.
- Bruce
 
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  • #32
belliott4488 said:
No problem. I think you've got it now.

Oops - yeah, I think I might have misstated that. Lower resistance -> higher current -> greater power dissipation. I got thrown off by my friction analogy.:rolleyes:


I'll have to let someone else answer that ... I'm not a big fan of the water analogy, despite its common use for problems like this.
- Bruce

Ahhh. I don't think you gave me a wrong impression. But its just that the lower the resistance, its only intuitive that the power dissipated is smaller. But its not the case in parallel circuits
 
  • #33
truewt said:
Ahhh. I don't think you gave me a wrong impression. But its just that the lower the resistance, its only intuitive that the power dissipated is smaller. But its not the case in parallel circuits

Found a good link for yah... http://hyperphysics.phy-astr.gsu.edu/hbase/electric/watcir.html

click on components of the DC circuit
 
  • #34
truewt said:
Ahhh. I don't think you gave me a wrong impression. But its just that the lower the resistance, its only intuitive that the power dissipated is smaller. But its not the case in parallel circuits
Wait a minute! That's what's wrong. :eek: Lower resistance -> more current -> MORE power dissipated!

This is something I used to get backwards, until I got my intuition fixed. A larger resistance does NOT present a larger load to a voltage source, despite what you'd think based on the wording. This is clear if you just think in extremes - an open circuit presents an infinite resistance but no load at all, whereas a short-circuit presents zero resistance and generally fries things (too high a load).
 
  • #35
Thank you Frogpad. That analogy helped, but there are still points that I'm still unsure of.

We're taking potential energy into account? What about Bernouli's principle, where the pressure changes due to the change in water flow rate? The flow rate is changing throughout its flow, am I right?
 
  • #36
belliott4488 said:
Wait a minute! That's what's wrong. :eek: Lower resistance -> more current -> MORE power dissipated!

This is something I used to get backwards, until I got my intuition fixed. A larger resistance does NOT present a larger load to a voltage source, despite what you'd think based on the wording. This is clear if you just think in extremes - an open circuit presents an infinite resistance but no load at all, whereas a short-circuit presents zero resistance and generally fries things (too high a load).


Ahh I do know that. The intuition is wrong. Haha
 
  • #37
FrogPad said:
Imagine a water pump hooked up to two pipes, in a configuration as like the one below with my beautiful ASCII art.

---W------________======B=======
|--------|___A___//_______________\\
|--------|======__________________=====D===
|--------|_______\\_______________//
----------________======C=======


If the water pump is W, and B and C are equal pipes. What would be the water pressure through A? What about the pressure at B and C. How would the flow of water change through B and C? What would the flow through A be compared to D?

Hey Frogpad, some problems with understanding the water analogy (again).

Alright. So by Bernoulli's Principle, in order for pressure to decrease (potential in electric circuit), the speed of the water must increase.

If we input resistances such as water wheels in pipes B and C, when water flows past these water wheels, the kinetic energy decreases, and hence speed decreases and hence pressure increases?!

Why is this so? It's so strange.

Even if we accommodate by inputting pipes of smaller radius after the wheel, the speed will increase (mass flow rate remains the same). But it just seem illogical!
 

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