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Question

The V-I graph for four different wires of different materials having the same length and diameter are shown in the figure. Which one of the following wire has the highest resistivity?


A
A
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B
B
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C
C
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D
D
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Solution

The correct option is A A
Using Ohm's law,
R=VI
Hence, resistance is the slope of V-I graph. Clearly, curve A has the highest slope and hence, wire A has the highest resistance.
Resistivity of a substance is given by:
ρ=RAl
where:
A is the cross sectional area
l is the length
For the same length l and area A
ρR
Therefore, wire A has the highest resistivity.

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