The voltage-current variations of two metallic wire X and Y at constant temperature is shown in fig. Assuming that the wires have the same length and the same diameter, explain which of the two wires will have larger resistivity.
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Slope of I - V line for a wire represents the coductance of the wire. From graph. Slope of I - V line for wire X gt slope of I - V line for wire Y. `:.` Conductance of wire X gt conductance of wire Y. As resistance `=1/"conductance"`, so Resistance of wire X lt resistance of wire Y. `rho X l/A lt rho Y l/A or rho X lt rho Y` Thus, wire Y has larger resistivity.
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