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A more general definition of the temperature coefficient of resistivity is given below

α=1/ρ*dρ/dt

where ρ is the resistivity at temperature T.

a) Assuming that α is constant, show that ρ equals the following expression where Po is the resistivity at temperature To.

b)using the series expansion ex = 1 + x for x « 1, show that the resistivity is given approximately by the expression ρ=p0[1 + α(T-TO)] . 

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Manoj Pandey
Manoj PandeyLv10
30 Jan 2021

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