Which equation relates the resistivity of a metallic conductor to its temperature?
Understand the Problem
The question is asking for the equation that describes how the resistivity of a metallic conductor changes with temperature. This involves understanding the relationship between resistivity and temperature coefficients in materials.
Answer
ρ = ρ0(1 + αΔT)
The equation that relates the resistivity of a metallic conductor to its temperature is ρ = ρ0(1 + αΔT), where ρ is the resistivity at temperature T, ρ0 is the resistivity at a reference temperature T0, α is the temperature coefficient of resistivity, and ΔT is the change in temperature.
Answer for screen readers
The equation that relates the resistivity of a metallic conductor to its temperature is ρ = ρ0(1 + αΔT), where ρ is the resistivity at temperature T, ρ0 is the resistivity at a reference temperature T0, α is the temperature coefficient of resistivity, and ΔT is the change in temperature.
More Information
This equation indicates that the resistivity of a metallic conductor increases linearly with the temperature, provided the temperature change is not too large. The proportionality is controlled by the temperature coefficient of resistivity α.
Tips
A common mistake is neglecting to use the correct reference temperature (T0) when calculating ΔT. Make sure to use consistent units.
Sources
- 20.3. Resistance and Resistivity - Lumen Learning - courses.lumenlearning.com
- Temperature Dependence of Resistivity - BYJU'S - byjus.com
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