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Dependence of Resistance on Temperature

The current v...

Question

The current voltage (I – V) graphs for a given metallic wire at two different temperatures $T_{1}$ and $T_{2}$ are shown in figure. If follows from the graphs that

T_{1} > T_{2}

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T_{1} < T_{2}

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T_{1} = T_{2}

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T_{1}

is greater or less than

T_{2}

depending on whether the resistance R of the wire is greater or less than the ratio

V / I

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Solution

The correct option is B $T_{1} < T_{2}$

It is clear from figure that at a given voltage $V_{0}$ the current $I_{1}$ in the wire at temperature $T_{1}$ is greater than the current $I_{2}$ in the wire at temperature $T_{2}$ , Therefore the resistance of the wire at temperature $T_{1}$ is less than that of temperature $T_{2}$ . This can happen if $T_{1}$ is less than $T_{2}$ because the resistance of wire increases with increase in temperature

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The current voltage (I – V) graphs for a given metallic wire at two different temperatures T1 and T2 are shown in figure. If follows from the graphs that

The current voltage (I – V) graphs for a given metallic wire at two different temperatures $T_{1}$ and $T_{2}$ are shown in figure. If follows from the graphs that