Resistivity and Temperature

In summary, resistivity is a measure of a material's ability to resist the flow of electrical current and is denoted by the Greek letter rho (ρ). As temperature increases, the resistivity of a material also increases due to increased thermal vibrations of its atoms. The relationship between resistivity and temperature is a direct one, with resistivity increasing as temperature increases. Higher resistivity can negatively impact the performance of electrical devices, making it important to choose materials with lower resistivity. However, there are some materials, such as thermistors, that exhibit negative temperature coefficients of resistivity and are used in temperature sensors and control systems.
  • #1
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Homework Statement


Initially, copper wire is 20oC then raises the temperature of the wire casing the resistivity up 12%, find the temperature at the final.

Homework Equations


R=Rref[1+α(T-Tref)]

The Attempt at a Solution


I am completely confused with this mathematics problem,Stucking with the final resistivity ( R ) in the equation
 
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  • #2
If the initial resistance is 10 Ohm, what is the final resistance?
If the initial resistance is R0, what is the final resistance?
 

1. What is resistivity?

Resistivity is a measure of a material's ability to resist the flow of electrical current. It is typically denoted by the Greek letter rho (ρ) and is measured in ohm-meters (Ω·m).

2. How does temperature affect resistivity?

As temperature increases, the resistivity of a material also increases. This is due to the increased thermal vibrations of the material's atoms, which create more resistance to the flow of electrical current.

3. What is the relationship between resistivity and temperature?

The relationship between resistivity and temperature is a direct one - as temperature increases, resistivity also increases. This can be mathematically expressed as ρ = ρ0(1 + α(T-T0)), where ρ0 is the resistivity at a reference temperature T0 and α is the temperature coefficient of resistivity.

4. How does resistivity affect the performance of electrical devices?

The resistivity of a material is a key factor in determining its electrical conductivity. Higher resistivity means that more energy is lost as heat, which can negatively impact the performance of electrical devices. Choosing materials with lower resistivity is important for optimizing the efficiency of electrical devices.

5. Are there any materials that defy the relationship between resistivity and temperature?

Yes, there are some materials that exhibit negative temperature coefficients of resistivity, meaning that their resistivity decreases as temperature increases. These materials are known as thermistors and are commonly used in temperature sensors and control systems.

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