Why is the gradient of a V-I graph equal to resistance for ohmic materials?

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SUMMARY

The gradient of a Voltage-Current (V-I) graph for ohmic materials is equal to resistance. This is because, in linear resistances, the relationship between voltage (V) and current (I) is direct and proportional, allowing the gradient (change in V over change in I) to be represented as V/I. Therefore, at any point on the graph, the resistance can be calculated using this formula.

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Cici2017

Homework Statement


Is the resistance equal to V/I at any point, or is it the gradient at that point? And Why?

Homework Equations

The Attempt at a Solution


shouldn't it be the gradient? because it is change in V over change in I?

Thanks~
 
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Cici2017 said:
shouldn't it be the gradient? because it is change in V over change in I?
Yes, it's the gradient. But for ohmic materials (linear resistances), the gradient is same as V/I.
Can you say why?
 
cnh1995 said:
Yes, it's the gradient. But for ohmic materials (linear resistances), the gradient is same as V/I.
Can you say why?
Yes =) Thanks for making it clear :blushing:
 

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