dasblack said:The Attempt at a Solution
alpha=11.45-8.1 / 11.45(70) = 4.18e-3
R=11.45[1+(4.18e-3)(-40)] = 9.54 ohms
But 9.54 isn't the answer...
LowlyPion said:Isn't the resistance at 20° = 8.1?
As temperature increases, the resistance of a material also increases. This is due to the fact that as temperature rises, the atoms in the material vibrate more vigorously, causing more collisions with the electrons and hindering their flow.
Yes, the equation is R = R₀(1 + αΔT), where R is the resistance at a given temperature, R₀ is the resistance at a reference temperature, α is the temperature coefficient of resistance, and ΔT is the change in temperature.
The temperature coefficient of resistance varies among materials. Generally, metals have a positive temperature coefficient, meaning their resistance increases with temperature, while semiconductors have a negative temperature coefficient, meaning their resistance decreases with temperature. The temperature coefficient also varies with the temperature range.
Yes, temperature variation can significantly impact the accuracy of resistance measurements. This is why it is essential to take temperature into account when measuring resistance and using the appropriate equations to compensate for temperature effects.
Temperature compensation involves using equations or correction factors to adjust resistance measurements for temperature effects. This can be done by either measuring the temperature of the material and using the appropriate equation or using a temperature sensor to automatically adjust the resistance measurement. This helps to improve the accuracy of the measurement by accounting for the temperature variation of resistance.