Question

how resistance varies with temperature in a conductor ​

Answer 1

Here is your Answer

There are two things that affect the resistance. The number of mobile charge carriers (typically electrons or holes) and their mobility (mainly limited due to scattering from atoms).

When you increase the temperature both the electrons and the atoms will obtain more energy. This holds for both a regular metallic conductor and for a semiconductor.

Both materials will see an increase in scattering of electrons from the increasingly vibrating atoms.

The big difference between the the two materials is the band gap of the semiconductor. Electrons in the semiconductor that do not have sufficient energy cannot contribute to the conductivity. Therefore increasing the energy of the electrons, increases the number of electrons or holes (charge carriers) that can contribute to the conductivity, thereby drastically lowering the resistance. This effect does not occur in metals.

Because the latter effect is typically much bigger than the first, even though there is an increase of scattering at higher temperatures, the resistance of semiconductors decreases with increasing temperature.

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Answer 2

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Explanation:

Resistance varies with temperature in a conductor. when the temperature increases then the resistance Al's increases but when the temperature decreases resistance Al's decreases.

means ,

Resistance is directly proportional to temperature.