What is the resistance of a Nichrome wire at 0.0^∘ C if its resistance is 100.00 Ωat 11.5^∘ C ?

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What is the resistance of a Nichrome wire at 0.0^∘ C if its...

What is the resistance of a Nichrome wire at $0.0^{\circ} \mathrm{C}$ if its resistance is $100.00 \Omega$ at $11.5^{\circ} \mathrm{C}$ ? The temperature coefficient of resistivity for Nichrome is $0.00040\left(\mathrm{C}^{\circ}\right)^{-1}$

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Key Concepts

Temperature Coefficient of Resistivity

This coefficient quantifies the change in a material's resistivity with temperature. It is defined as the fractional change in resistivity (or resistance) per degree Celsius. Materials with a positive coefficient, such as Nichrome, exhibit increased resistance as temperature rises, while those with a negative coefficient show a decrease. Understanding this parameter is crucial for applications where temperature variations affect electrical properties.

Temperature Dependence of Resistance

Resistance changes with temperature according to a linear approximation for small temperature ranges. The typical formula is R? = R?[1 + ?(T - T?)], where R? is the resistance at temperature T, R? is the reference resistance at temperature T?, and ? is the temperature coefficient of resistivity. This concept is fundamental in electronics and material science, as it helps predict how a conductor’s resistance will vary with changes in temperature.

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