Question
How resistivity of material depends on its temperature. Write its empirical formula.
✓
Answer
$\rightarrow $The resistivity of a material depends on temperature. Different materials do not exhibit the same dependence on temperature.
$\rightarrow $Over a limited range of temperatures (not too large), the resistivity of a metallic conductor is given by,
$\rightarrow \rho_{ T }= \rho _0\left[1+\alpha\left( T - T _0\right)\right]$
where,
$\rho _{ T }=$ the resistivity at temp. $T$
$\rho _0=$ the resistivity at reference temp.
$\alpha=$ temperature co-efficient of resistivity
$ \text { (unit }{ }^{\circ} C ^{-1} \text { or } K ^{-1} \text { ) }$
$T =$ given temperature
$T _0=$ reference temperature
$\rightarrow $Over a limited range of temperatures (not too large), the resistivity of a metallic conductor is given by,
$\rightarrow \rho_{ T }= \rho _0\left[1+\alpha\left( T - T _0\right)\right]$
where,
$\rho _{ T }=$ the resistivity at temp. $T$
$\rho _0=$ the resistivity at reference temp.
$\alpha=$ temperature co-efficient of resistivity
$ \text { (unit }{ }^{\circ} C ^{-1} \text { or } K ^{-1} \text { ) }$
$T =$ given temperature
$T _0=$ reference temperature
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