How do electrical resistivity of metallic conductor vary with temperature?
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we have formula
resistivity=m/ne^2t
where
n=number density of electron
e=charge of electron
t=relaxation time
m=mass of electron
now t is inversely proportional to temperature
but t is also inversely proportional to resistivity acc to formula
hence
temperature is directly proportional to resistivity for a metallic conductor
hence when temperature increases resistivity also increases
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