Resistance, Voltage, and current

[Cici2017]

Homework Statement

Homework Equations

The Attempt at a Solution

I chose A, I understand how the resistance is the gradient, but if it is the gradient and the gradient is constant , shouldn't the resistance stay constant? (But the answer is B)
Please help~thanks a lot~

 

[haruspex]

I would have answered D. I can see a case to be made for A, but not for B.

 

[rude man]

Resistance cannot be defined for a nonlinear component.
There is "static resistance" and there is "dynamic resistance" but there is no "resistance".

 

[Cici2017]

Resistance cannot be defined for a nonlinear component.
There is "static resistance" and there is "dynamic resistance" but there is no "resistance".

Can you please explain a bit more? What does that mean in the context of this question? Thank you!

 

[rude man]

Can you please explain a bit more? What does that mean in the context of this question? Thank you!

It means the question should have specified static or dynamic resistance.

 

[haruspex]

Can you please explain a bit more? What does that mean in the context of this question? Thank you!

V/I is the "static" or "chordal" resistance. If that is meant the answer would be D.
dV/dI is the "dynamic" or "differential" resistance. If that is meant the answer would be A if we take the right derivative at V₀ but B if we take the left derivative.
In short, silly question.

 

[Cici2017]

Thank you~