Relationship between resistance and temperature

Relationship between resistance and temperature

The resistance of a conductor is related to temperature. The resistance of a pure metal increases with the increase of temperature. When the temperature increases by 1 ℃, the resistance increases by several thousandths. The resistance of carbon and insulator decreases with the increase of temperature, The resistance of some alloys such as constantan and manganin has little to do with the change of temperature. The changes of resistance with temperature are very useful. Resistance thermometers can be made by using the relationship between resistance and temperature. Platinum resistance thermometers can measure the temperature from - 263 ℃ to 1000 ℃, Semiconductor germanium thermometers can measure very low temperatures. Constantan and manganin are good materials for making standard resistors
For example: the filament of an electric light bulb is made of tungsten filament. How much greater is the resistance of the filament when it normally emits light than that at room temperature?
The resistance of tungsten increases with the increase of temperature. When the temperature increases by 1 ℃, the resistance increases by about five thousandths. When the filament lights up, the temperature is about 2000 ℃, so the resistance increases by about 10 times. When the filament lights up, the resistance is much larger than that when it doesn't light up. When the circuit is just turned on, the filament resistance is small and the current is large, so the electrical equipment is easy to be damaged at this moment

What is the relationship between resistance and temperature?
When the cross-sectional area, length and material are the same, the resistance is related to the temperature, so what is the specific relationship between the resistance and the temperature?

The resistance of metals increases with the increase of temperature, while semiconductors decrease with the increase of temperature. When the temperature of most metals drops to a certain value, the resistance will suddenly be zero, leading to superconductivity!