A length of aluminum wire has a resistance of 14.0 Ω at 36.0°C. When the wire is warmed in an oven and reaches thermal equilibrium, the resistance of the wire increases to 31.1 Ω. (a) Neglecting thermal expansion, find the temperature of the oven.

Question

Physics

Nikolas

31 January, 09:21

A length of aluminum wire has a resistance of 14.0 Ω at 36.0°C. When the wire is warmed in an oven and reaches thermal equilibrium, the resistance of the wire increases to 31.1 Ω. (a) Neglecting thermal expansion, find the temperature of the oven.

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Anika Gross · Answer 1

The temperature of the oven is: T2 = 309.86 ºC.

Explanation:

α = 0.00446 1/ºC

R1 = 14 Ω

R2 = 31.1Ω

T1 = 36ºC

R2 = R1 * {1+α * (T2-T1) }

T2 = {[ (R2/R1) - 1] * 1/α} + T1

T2 = 309.86ºC