The resistance of a conductor at 15$^\circ$C is 16$\Omega$ and at 100$^\circ$C is 20$\Omega$. What will be the temperature coefficient of resistance of the conductor?
Solution
16 = R<sub>0</sub> [1 + $\alpha$ (15 $-$ T<sub>0</sub>)]<br><br>20 = R<sub>0</sub> [1 + $\alpha$ (100 $-$ T<sub>0</sub>)]<br><br>Assuming T<sub>0</sub> = 0$^\circ$C, as a general convention.<br><br>$\Rightarrow$ ${{16} \over {20}} = {{1 + \alpha \times 15} \over {1 + \alpha \times 100}}$<br><br>$\Rightarrow$ $\alpha$ = 0.003$^\circ$C<sup>$-$1</sup>
About this question
Subject: Physics · Chapter: Current Electricity · Topic: Ohm's Law and Resistance
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