Calculate how much the temperature of a copper wire weighing 0.5 kg will change

Calculate how much the temperature of a copper wire weighing 0.5 kg will change if a current of 0.5 mA was passed through it for 120 seconds at a voltage of 12V.

Data: m (mass of copper wire) = 0.5 kg; t (duration of current passage) = 120 s; I (current that was passed through the wire) = 0.5 mA (0.5 * 10-3 A); U (voltage across copper wire) = 12 V.

Constants: С (specific heat capacity of copper) = 400 J / (kg * ºС).

The change in the temperature of the copper wire is determined from the equality: C * m * Δt = U * I * t and Δt = U * I * t / (C * m).

Calculation: Δt = 12 * 0.5 * 10-3 * 120 / (400 * 0.5) = 0.0036 ºС.

Answer: The temperature of the wire will increase by 0.0036 ºС.