Topic: Resistivity, conductivity and temperature dependence of resistance· Current Electricity

Which of the following graph represents the variation of resistivity (ρ) with temperature (T) for copper ?

Which of the following graph represents the variation of resistivity (\(\rho\)) with temperature (T) for copper ?

four rho-vs-T graph options (1)-(4)

1. graph (1)

2. graph (2)

3. graph (3)

4. graph (4)

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Answer: 3. graph (3)

For a metal like copper, resistivity rises with temperature because lattice vibrations scatter electrons more: \(\rho=\rho_0[1+\alpha(T-T_0)]\).

Graphs (2) and (4) fall with temperature, which is wrong for a metal. Graph (1) is a straight line and graph (3) a curve rising with increasing slope. Both rise, but over a wide temperature range the rise is not exactly linear, and the official key chooses graph (3).

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Which of the following graph represents the variation of resistivity (ρ) with temperature (T) for copper ?

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