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Current Electricity

Question
CBSEENPH12037525

The resistivities of semiconductors and insulators decrease with increase of temperature. Why?

Solution
The resistivity of a metallic body is given by,
            ρ
t = ρ0 (1 + αr t)
where, 
ρT  is the resistivity at temperature T ,
ρo  is the resistivity at a reference temperature and,
α is the temperature coefficient of resistivity.

For semiconductors and insulators, α is negative. 
Thus, resistivity of semiconductors and insulators decreases with increasing temperature.

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