Question 26: Thermodynamics & KTG

Question

Which of the following graphs show the correct relation between conductivity and temperature for a metallic conductor?

Accepted Answer

Conductivity ($$\sigma$$) of a metallic conductor is given by
$$\sigma  = {1 \over ho } = {{n{e^2}	au } \over m}$$
where, $$ho$$ = resistivity of conductor,
$$	au$$ = relaxation time,
n = number of free electrons
and m = mass.
For metals, as the temperature increases, the relaxation time $$	au$$ decreases because collisions become more frequent. Hence, the conductivity of a metallic conductor decreases with the increases of temperature.

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Thermodynamics & KTG

Which of the following graphs show the correct relation between conductivity and temperature for a metallic conductor?

Choose the correct answer: