If a certain silver wire has a resistance of 4.00 Ω at 17.0°C, what resistance will it have at 31.0°C?

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+1 vote

Over a limited temperature range, the resistivity of a conductor varies approximately linearly with temperature and the equation of this is :

p = p'[1+a(T-T')] (*where p is the resistivity you are finding, p'=initial resistance (4Ω), a=temeperature coefficient of resistivity, T=final temperature(31C) and T'=initial temperature (17C)

Here is a list that has the temperature Coefficient values of various materials on the right column:

Plugging in the corresponding values into the equation we get:

p = 4Ω [1+ 3.8*10^-3 (31-17)] = 4.21 Ω

p = 4.21 Ω

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