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A carbon resistor is used in a circuit, at different constant temperatures, $T_{1}$ and $T_{2} (T_{1} > T_{2})$ for different voltages. Which of the following graphs are correct? [i is the current through the resistor, V is the voltage applied across it]

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answer is A.

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Detailed Solution

$R = \frac{V}{I}$ ;

Therefore, the v-i graph will be linearly increasing.

R decreases with temperature because for carbon $α$ is negative.

So R corresponding to higher temperature will be low indicating a higher slope(1/R).

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