How will the resistance of an aluminum conductor change during cooling from t = 0 to t = -125C?

To calculate the change in resistance of the taken aluminum conductor, consider the formula: ΔR = Rcool – R0 = R0 * (1 + α * (Tcool – T0)) – R0 = R0 * (1 + α * (Tcool – T0) – 1) = R0 * α * (Tcool – T0).

Const: α – temperature coefficient of electrical resistance of aluminum (α = 4.2 * 10-3 K-1).

Data: Tcool – temperature of the cooled conductor (Theat = -125 ºС); T0 – initial conductor temperature (T0 = 0 ºС).

Let’s calculate: ΔR = R0 * α * (Tcohl – T0) = R0 * 4.2 * 10-3 * (-125 – 0) = -0.525R0

Answer: The resistance of the taken aluminum conductor will decrease by 0.525R0.