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?

+3 votes

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?
Ω

asked Feb 3, 2012 in Physics by Joey33 ~Expert~ (1,216 points)
    

1 Answer

+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

answered Feb 4, 2012 by Roar3215 ~Expert~ (1,318 points)

Related questions

+1 vote
1 answer 465 views



...