Is VI=P strictly an ohmic relation

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Discussion Overview

The discussion revolves around the relationship expressed by the equation VI=P and whether it is strictly an ohmic relation or applicable to all types of circuits, including non-ohmic components like light bulbs. Participants explore the implications of this equation in various contexts, including resistive and reactive components.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants question whether the equation VI=P applies only to ohmic devices or if it is valid for all circuit types, including non-ohmic devices like light bulbs.
  • There is a discussion about the nature of non-ohmic behavior, particularly how the resistance of a light bulb changes with temperature and current, rather than voltage.
  • One participant asserts that power calculated as volts times current is valid at any point in time, regardless of whether the device is ohmic.
  • Another participant clarifies that the equation V=IR holds true at any moment, even during transient conditions, but acknowledges that for reactive components, the relationship extends to complex impedances.
  • There is an inquiry into the definition of "ohmic" and whether it implies a power factor of 1 or adherence to Ohm's Law.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of VI=P to non-ohmic devices, with some asserting its validity while others seek clarification on the conditions under which it holds true. The discussion remains unresolved regarding the strict classification of the equation as ohmic or non-ohmic.

Contextual Notes

Participants highlight the dependence of the equation on the nature of the components involved, particularly in terms of linear versus non-linear resistance and the effects of temperature on resistance in materials like filament bulbs.

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Is VI=P strictly an ohmic relation or does it apply to all types of circuits?

Thanks
 
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hover said:
Is VI=P strictly an ohmic relation or does it apply to all types of circuits?

Thanks

What is the context of the question?
 


berkeman said:
What is the context of the question?

I'm just wondering if this equation predicts the power for any given circuit. Not just resistors but light bulbs and things that aren't Ohmic in nature.
 


I want to know if a light bulb given a certain voltage and current will have VI=P power even thought the lighbulb isn't ohmic.
 


power = volts x current is true at any point in time. Various components will affect how the power varies over time.
 


So it doesn't matter whether the device is ohmic or not?
 


hover said:
So it doesn't matter whether the device is ohmic or not?

What do you mean by "ohmic"? Do you mean a power factor = 1?
 


berkeman said:
What do you mean by "ohmic"? Do you mean a power factor = 1?

I mean does the object have to follow ohms law V=IR?
 


hover said:
I mean does the object have to follow ohms law V=IR?

I'm not trying to be dense here, but I'm still not quite understanding. Do you mean where "R" is not a complex impedance? Could you please give an example of something that doesn't "follow Ohm's Law"? Thanks.
 
  • #10


berkeman said:
I'm not trying to be dense here, but I'm still not quite understanding. Do you mean where "R" is not a complex impedance? Could you please give an example of something that doesn't "follow Ohm's Law"? Thanks.

Something like a light bulb. As the voltage increases, the resistance the lightbulb has isn't linear.
 
  • #11


hover said:
Something like a light bulb. As the voltage increases, the resistance the lightbulb has isn't linear.

Ah. The resistance of the filimant varies with temperature (this is true of most conductors BTW). It doesn't vary with voltage, per se. A higher voltage causes a larger current to flow, which heats up the filament more, which changes its resistance. V=IR is true at any moment in time, even during the transients like at turn on or if you increase the voltage once the bulb is on.

Do you have another example of what you would consider non-Ohmic?
 
  • #12
berkeman said:
Ah. The resistance of the filimant varies with temperature (this is true of most conductors BTW). It doesn't vary with voltage, per se. A higher voltage causes a larger current to flow, which heats up the filament more, which changes its resistance. V=IR is true at any moment in time, even during the transients like at turn on or if you increase the voltage once the bulb is on.

Do you have another example of what you would consider non-Ohmic?

That was basically it. So I'm guessing that VI=R does work for something like a light bulb right?
 
  • #13


hover said:
That was basically it. So I'm guessing that VI=R does work for something like a light bulb right?

Yes, absolutely.

For circuits that have reactive devices like inductors and capacitors, the simple linear V=IR Ohm's Law equation is extended to include complex impedances. The equation still works, but "R" --> Z where Z is a complex number.
 
  • #14
berkeman said:
Yes, absolutely.

For circuits that have reactive devices like inductors and capacitors, the simple linear V=IR Ohm's Law equation is extended to include complex impedances. The equation still works, but "R" --> Z where Z is a complex number.

Good! That clears everything up. Thanks! :)
 

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