What is the fractional change in the resistance of an iron filament when its temperature changes

step 1 In this problem for iron flamant we are given T1 is equal to 25 degrees centigrade so this is no

What is the fractional change in the resistance of an iron...

Key Concepts

Temperature Dependence of Resistance

This concept describes how the electrical resistance of a material, such as a metal, changes as its temperature varies. In metals like iron, resistance typically increases with an increase in temperature because the increased thermal vibrations of atoms interfere with the flow of electrons, leading to more collisions and higher resistance.

Temperature Coefficient of Resistance

The temperature coefficient of resistance is a parameter that quantifies the rate at which the resistance of a material changes with temperature. It is defined as the fractional change in resistance per degree change in temperature. This coefficient makes it possible to predict resistance changes over a range of temperatures using a linear approximation for small temperature variations.

Fractional Change in Resistance

The fractional change in resistance is the relative change in the resistance of a material, expressed as the ratio of the change in resistance to the original resistance. It simplifies the analysis of how resistance varies with temperature and is commonly represented by the formula ?R/R? = ??T, where ?R is the change in resistance, R? is the initial resistance, ? is the temperature coefficient, and ?T is the change in temperature.

Linear Approximation over Small Temperature Ranges

When temperature changes are small, the variation in resistance with temperature can be approximated as linear. This means that the formula ?R/R? = ??T is a valid and useful simplification, allowing for straightforward calculations of resistance changes without needing more complex models that account for nonlinear behavior.

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