How to Find Resistance from a Non-Linear I vs. V Graph?

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SUMMARY

To determine resistance from a non-linear I vs. V graph, the correct approach is to sketch a tangent line at the point of interest and calculate resistance using the formula R = ΔV/ΔI. This method provides an approximation of resistance at that specific point, acknowledging that the conductor is a non-ohmic material and does not adhere to Ohm's law. For more precise evaluations, calculus may be required, specifically using the derivative form R = dV/dI.

PREREQUISITES
  • Understanding of Ohm's Law and its limitations
  • Familiarity with I vs. V graph interpretation
  • Basic knowledge of calculus concepts
  • Ability to sketch and analyze tangent lines on graphs
NEXT STEPS
  • Study the principles of non-ohmic conductors and their characteristics
  • Learn how to apply calculus to find derivatives in physics
  • Explore advanced graph analysis techniques for electrical circuits
  • Research practical applications of tangent line approximations in physics
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in analyzing non-linear electrical characteristics and resistance calculations.

kgal
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I have a I vs. V graph (I on x-axis, V on y-axis) and I need to figure out how to find the resistance from this.

I know that R = V/I when the graph is linear, but I have a curved graph...
I was thinking maybe to sketch a tangent line across each point that I need to figure out its resistance and find the resistance by using ΔV/ΔI.
Would that be correct?
 
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kgal said:
I have a I vs. V graph (I on x-axis, V on y-axis) and I need to figure out how to find the resistance from this.

I know that R = V/I when the graph is linear, but I have a curved graph...
I was thinking maybe to sketch a tangent line across each point that I need to figure out its resistance and find the resistance by using ΔV/ΔI.
Would that be correct?

Yup , that would be correct. If graph of V vs. I is curve then that means that the conductor is not following ohm's law. That conductor is non-ohmic conductor. Perhaps your method will not give you exact resistance AT THAT POINT but will give you nearest approximation. Yet it will be correct and recommended for beginners. Higher evaluation will involve calculus though.

Here R=dV/dI or R=ΔV/ΔI at any point.

http://postimage.org/image/hdqd9a4nl/
 
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