Resistance, Voltage, and current

In summary, the conversation revolved around the concept of resistance for nonlinear components. The question asked about the constancy of resistance when considering the gradient, and the answer was found to be B. However, there was discussion about the possibility of answering with A or D, and it was noted that resistance cannot be defined for nonlinear components. The distinction between static and dynamic resistance was also mentioned, and it was suggested that the question should have specified which type was being referred to. Ultimately, the conversation was deemed to be about a "silly question."
  • #1
Cici2017

Homework Statement


Screen Shot 2017-07-22 at 4.46.56 pm.png


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~
 
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  • #2
I would have answered D. I can see a case to be made for A, but not for B.
 
  • #3
Resistance cannot be defined for a nonlinear component.
There is "static resistance" and there is "dynamic resistance" but there is no "resistance".
 
  • #4
rude man said:
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!
 
  • #5
Cici2017 said:
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.
 
  • #6
Cici2017 said:
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.
 
  • #7
Thank you~
 

Related to Resistance, Voltage, and current

1. What is resistance and how does it affect electrical circuits?

Resistance is the measure of how much a material or component opposes the flow of electricity. In an electrical circuit, resistance can cause a decrease in the amount of current flowing through the circuit. This can result in a decrease in voltage, and can also create heat.

2. How is voltage different from current?

Voltage is the measure of the potential energy difference between two points in a circuit. It is measured in volts. Current, on the other hand, is the measure of the flow of electric charge through a circuit and is measured in amperes. In simple terms, voltage is the force that drives current through a circuit.

3. What is the relationship between voltage, current, and resistance in Ohm's Law?

Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them. This means that as voltage increases, current increases, and as resistance increases, current decreases.

4. How does the type of material affect resistance?

The type of material used in a circuit can greatly affect the resistance. Materials with high resistance, such as rubber or plastic, can limit the flow of electricity, while materials with low resistance, such as metals, allow electricity to flow more easily. This is why copper is commonly used in electrical wiring, as it has a low resistance and allows for efficient flow of electricity.

5. How can resistance be calculated or measured?

Resistance can be calculated using Ohm's Law, by dividing the voltage by the current. It can also be measured using a multimeter, which measures the voltage and current in a circuit and calculates the resistance. Additionally, the resistance of a component can be determined by its physical properties, such as length, cross-sectional area, and material.

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