Alternative formulas for Ohms law

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SUMMARY

This discussion centers on alternative formulations of Ohm's Law, specifically the equation R=V²/P. While this equation can be derived from the basic definitions of resistance (R=V/I) and power (P=VI), it is important to note that it does not fully represent Ohm's Law, which applies strictly to resistive materials at constant temperatures. The conversation highlights the need for algebraic manipulation of these equations to derive useful electrical parameters and emphasizes that Ohm's Law is not applicable to non-linear devices such as diodes and filament bulbs.

PREREQUISITES
  • Understanding of Ohm's Law and its limitations
  • Basic algebra skills for manipulating equations
  • Familiarity with electrical power equations (P=VI, P=I²R)
  • Knowledge of electrical components and their behaviors (e.g., resistors, diodes)
NEXT STEPS
  • Research the limitations of Ohm's Law in non-linear devices
  • Learn about the applications of P=V²/R in circuit analysis
  • Explore the use of LaTeX for formatting mathematical equations
  • Study the behavior of different electrical components under varying conditions
USEFUL FOR

Electrical engineers, physics students, and anyone interested in understanding the nuances of Ohm's Law and its applications in circuit design and analysis.

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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