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Answer :
The temperature coefficient of resistivity for a wire 3.00 m long and 0.450 mm2 in cross-sectional area is 0.0098 °C-1.
Calculations:
ΔR/R = (38.9 - 38.6)/38.6 = 0.00736
Then, the temperature coefficient of resistivity (α) can be calculated using the formula:
α = ΔR/R x (1/ΔT)
where ΔT is the difference in temperature between the two measurements (27.5°C - 20.0°C = 7.5°C).
Therefore, α = 0.00736 x (1/7.5) = 0.0098 °C-1.
Temperature coefficient of resistivity is a measure of the rate at which a material's resistance changes with temperature. It is typically expressed in units of ohms per degree Celsius (Ω/°C), and is calculated by measuring the change in resistance at two different temperatures. For a given material, the temperature coefficient of resistivity indicates how much its resistance will increase for each degree of temperature increase. This is an important property for materials used in electrical engineering, as it can help determine how much a given material's resistance will change with temperature. Knowing the temperature coefficient of resistivity can help engineers design systems that are reliable and stable under varying temperature conditions.
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