Resistance Voltage (V) Proportional to Current (I): Why R=V/I?

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Discussion Overview

The discussion revolves around the relationship between voltage (V), current (I), and resistance (R) in electrical circuits, specifically addressing the question of why resistance is defined as R=V/I rather than I=V/R. The conversation touches on definitions, conventions, and the implications of these relationships in electrical theory.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants assert that voltage is proportional to current, leading to the equation V=(a constant)*I, where the constant is resistance (R).
  • Others propose that it is possible to express current as proportional to voltage, suggesting that R could be redefined as I/V, but caution that this would require a different name for the constant to avoid confusion.
  • One participant mentions that the proportionality constant for current over voltage is known as conductance (G), which has units of Siemens.
  • Another participant argues against the idea of I being proportional to V, stating that it contradicts the current definition of resistance, although they later clarify their misunderstanding of an earlier post.
  • There is a mention of the historical context of conductance units, which were previously referred to as mhos.
  • One participant emphasizes that resistance is defined as it is by convention, with no inherent reason behind it.
  • Another participant notes the distinction between resistance (R) as 'how hard' and conductance (G) as 'how easy'.

Areas of Agreement / Disagreement

Participants express differing views on the definitions and relationships between voltage, current, resistance, and conductance. There is no consensus on whether it is appropriate to redefine resistance in terms of current and voltage.

Contextual Notes

Participants acknowledge that the definitions of resistance and conductance are conventions, and there is an underlying complexity in the relationships that may not be fully resolved in the discussion.

sreerajt
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Voltage(V) is proportional to current(I). And so V=(a constant)*I. That constant is known as resistance(R), where R=V/I. Why can't we write that I proportional to V and then write R=I/V??
 
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sreerajt said:
Why can't we write that I proportional to V and then write R=I/V??

We can. We simply have to give this proportionality constant a different name and symbol so that we don't confuse people. :smile:

http://en.wikipedia.org/wiki/Electrical_conductance
 
sreerajt said:
Voltage(V) is proportional to current(I). And so V=(a constant)*I. That constant is known as resistance(R), where R=V/I. Why can't we write that I proportional to V and then write R=I/V??
We write G=I/V
and the units of G used to be known as mhos (that's Ohms spelled backwards) with symbol an upsidedown Ω (omega).

Nowadays, the units have been renamed an uninteresting "siemens". :frown:
 
Because that is not the reality? I know VR != I. If that were the case, current would increase with resistance. Which completely disagrees with our current definition of resistance!

EDIT:
Oh, I misinterpreted your post. Well, yes, of course you could. But R would be a different quantity, as the right side of the equation implies.
 
Last edited:
Could you please make it clear?
 
Resistance (R) is DEFINED to be what it is. There is no "reason" for it, it is just a convention.

And again, the quantity I/V already has a name of its own: conductance (G), which has the units of Siemens.
 
I think you means 1/R.

Remember: R is 'how hard'
and G is 'how easy'.
 
Thanks f95toli.. i think your answer is quite satisfying for me...
 

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