# Resistance, Voltage, and current

1. Jul 21, 2017

### Cici2017

1. The problem statement, all variables and given/known data

2. Relevant equations

3. 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)

2. Jul 22, 2017

### haruspex

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

3. Jul 22, 2017

### rude man

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

4. Jul 22, 2017

### Cici2017

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

5. Jul 22, 2017

### rude man

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

6. Jul 22, 2017

### haruspex

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.

7. Jul 23, 2017

Thank you~