First slide

Temperature dependence

Question

If the resistance of a conductor is $5 Ω$ at 50⁰C, and $7 Ω$ at 100⁰C, then the mean temperature coefficient of resistance of the material is

Moderate

A

0.008/⁰C
B

0.006/⁰C
C

0.004/⁰C
D

0.001/⁰C

Solution

$\begin{array}{l} U \sin g R_{T_{2}} = R_{T_{1}} [1 + α (T_{2} - T_{2})] \\ \Rightarrow R_{100} = R_{50} [1 + α (100 - 50)] \\ \Rightarrow 7 = 5 [1 + (α \times 50)] \Rightarrow α = \frac{(7 - 5)}{250} = 0.008 /^{0} C \end{array}$

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