Calculating Resistivity and Resistance: Solving for Unknowns

In summary, resistivity is a measure of a material's ability to resist the flow of electric current, while resistance is a measure of how much a material impedes the flow of current. Resistivity is typically measured using a four-point probe method and is affected by intrinsic properties and external conditions. It is inversely related to conductivity and is important in practical applications such as electrical engineering and material science.
  • #1
Jaymo3141
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0

Homework Statement





Homework Equations


R=pL/A


The Attempt at a Solution



The answer is C and I don't know why. If R = pL/A then isn't L=b between X and Y?
 

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  • #2
There are 2 wires running from X to Y. These wires are in parallel. One is of length 2b, and the other is of length b. You need to find the overall resistance of these two resistors in parallel.

I don't think that this problem is stated very well. I think it should state outright that there are two resistances in parallel.
 
  • #3
that makes sense. thank you
 

What is the difference between resistivity and resistance?

Resistivity is a measure of a material's ability to resist the flow of electric current, while resistance is a measure of how much a material impedes the flow of current. Resistivity is an intrinsic property of a material, while resistance depends on the material's dimensions and shape.

How is resistivity measured?

Resistivity is typically measured using a four-point probe method, where four evenly spaced electrical contacts are made on a material and the voltage and current are measured to calculate the resistivity. It can also be calculated by measuring the dimensions of a material and its resistance, and using the formula ρ = RA/L, where ρ is resistivity, R is resistance, A is the cross-sectional area, and L is the length.

What factors affect resistivity?

The resistivity of a material is affected by its intrinsic properties, such as the type of material, temperature, and impurities. It also depends on the external conditions, such as the strength and direction of an applied electric field.

How does resistivity relate to conductivity?

Resistivity and conductivity are inversely related. Conductivity is a measure of how easily a material allows electric current to pass through it, while resistivity is a measure of how much it resists the flow of current. The higher the resistivity, the lower the conductivity and vice versa.

Why is resistivity important in practical applications?

Resistivity is an important concept in many practical applications, such as electrical engineering, material science, and electronics. It helps in determining the efficiency of a material in conducting electricity, designing electrical circuits, and choosing the right materials for specific purposes. It also plays a crucial role in the transmission of electricity and the design of electrical devices.

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