$V - I$ graph for two wires $A$ and $B$ are shown in the figure. If the both wires are of same length and same thickness, which of the two is made of a material of high resistivity? Given justification for your answer.

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Solution

From the graph, slope of wire $A$ is greater slope $= \frac{d y}{d x} = V I R = V I =$ slope
Hence wire $A$ has greater resistance. The heat produced by resistor is given by $P = I^{2} . R T$ . It is directly proportional to square of current paring through it resistance and time for which the current passes through the conductor. Hence $A$ wire is made of a material of high resistivity.

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V−I graph for two wires A and B are shown in the figure. If the both wires are of same length and same thickness, which of the two is made of a material of high resistivity? Given justification for your answer.

$V - I$ graph for two wires $A$ and $B$ are shown in the figure. If the both wires are of same length and same thickness, which of the two is made of a material of high resistivity? Given justification for your answer.