Alternative formulas for Ohms law

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Discussion Overview

The discussion revolves around alternative formulations of Ohm's law, particularly the equation R=V²/P. Participants explore the implications of this equation, its relation to traditional Ohm's law, and the conditions under which it is applicable.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose the equation R=V²/P as a valid rearrangement of Ohm's law.
  • Others argue that this formulation is not strictly Ohm's law since it incorporates power, which was not part of the original definition.
  • It is noted that Ohm's law applies primarily to metals at constant temperature, and the algebraic manipulation is valid only under those conditions.
  • Some participants highlight that the equation may not be applicable to non-linear components such as diodes or filament light bulbs.
  • A participant suggests using LaTeX for clarity in mathematical expressions, indicating some confusion over notation.

Areas of Agreement / Disagreement

Participants express differing views on the validity and applicability of the equation R=V²/P in the context of Ohm's law. There is no consensus on whether this formulation can be considered a legitimate alternative to Ohm's law.

Contextual Notes

Limitations include the dependence on specific conditions such as constant temperature and the nature of the components being analyzed. The discussion also reflects varying interpretations of Ohm's law and its extensions.

brinker
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TL;DR
Ohms law, electricity
Hi.
Have any one try this way:
R=V2/P
 
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Yes. Is it so strange to believe that wouldn't be a thing? If you know two of the three, you can find the third. Rearrange the equation if you like, basic algebra.
 
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brinker said:
TL;DR Summary: Ohms law, electricity

Hi.
Have any one try this way:
R=V2/P
Yes, all the time. This isn't exactly Ohm's law. He didn't include anything about power.

P=V2/R and P=I2R are equations that I used frequently.

All of the combinations of the basic definitions R=V/I and P=VI are useful. You'll need to get to the point where you can use simple algebra to manipulate these to find what you want from the data you have.
 
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brinker said:
Have any one try this way:
R=V2/P
Lordy. I'm glad @Averagesupernova and @DaveE understood your question as written; I sure did not.

@brinker -- I will send you some tips on using LaTeX to post math equations at PF. In the mean time, please be sure to show exponentiation using the "^" symbol. When I read your equation as written, I could not figure out where the variable ##V_2## came from and what in the world the variable ##P## was. Now that I've seen the replies talking about the power equation, I realize that what you meant to write was R=V^2/P, or in LaTeX:
$$R = \frac{V^2}{P}$$
 
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DaveE said:
Yes, all the time. This isn't exactly Ohm's law. He didn't include anything about power.
And, of course, Ohm's Law is not being quoted here completely. Ohm's law deals only with metals at a constant temperature. The algebra is correct only under these conditions where the effective resistance of a component is constant. The equation is not valid for diodes or filament light bulbs etc..
 

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