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Ohm's Law in Scalar Form

The voltage -...

Question

The voltage - current $(V - I)$ graph of a metallic conductor at two different temperature $T_{1}$ and $T_{2}$ is shown below. At which temperature is the resistance higher?

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Solution

The mathematical expression for Ohm's law is:
$V = I R$
Thus, graph between V versus I gives a straight line with slope R.
Since, slope at $T_{2}$ is more than slope at $T_{1}$ .
For metallic conductors, resistance is directly proportional to temperature. Thus, resistance is higher at $T_{2}$

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