Question
Download Solution PDFThe resistivity of a metal is a function of temperature because
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Mobility (μ): It is defined as the ratio of Drift velocity to the Electric field.
\(\mu = \frac{{{V_d}}}{E}\)
It also describes how fast is the charge carrier moving from one place to another.
Electron mobility is greater than hole mobility.
Explanation:
As temperature increases, the atoms in the material will vibrate and due to these thermal vibrations, the mobility of the charge carrier reduces.
As
\(\mu \propto {T^{ - m}}\)
where,
m = 2.5 for electron
m = 2.7 for holes in case of silicon
Hence electrical conductivity of metal has a negative temperature coefficient.
So as temperature increases,
Mobility decreases due to which collision of electrons increases with an increase in temperature.
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