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

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To find resistance from a non-linear I vs. V graph, sketching a tangent line at each point of interest and calculating resistance using ΔV/ΔI is a valid approach. This method provides an approximation of resistance at specific points, acknowledging that the conductor is non-ohmic and does not follow Ohm's law. While this technique is suitable for beginners, more precise evaluations would require calculus. The formula R = dV/dI can be applied at any point on the curve. This method effectively allows for the analysis of resistance in non-linear scenarios.
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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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