While taking photographs in Death Valley on a day when the temperature is 50.0°C, Bill Hiker finds that...?

Question

Another physics homework stuck point. Could you show me how to do it? Thanks!

While taking photographs in Death Valley on a day when the temperature is 50.0°C, Bill Hiker finds that a certain voltage applied to a aluminum wire produces a current of 1.000 A. Bill then travels to Antarctica and applies the same voltage to the same wire. What current does he register there if the temperature is -88.0°C? Assume that no change occurs in the wire's shape and size.

(in A)

Answer 1

Aluminum temp coef of resistance is 0.004308

ΔR = 0.004308 x 138C = 0.594504

pick a voltage of 1 volt, then Rhot = 1 ohm, and R cold would be

1 x 0.594504 = 0.595 ohms.

1 volt and 0.595 ohms gives us 1.68 amps.