Pure copper wire of diameter = 2.0 mm has an electrical resistance, R, of 0.005 ohm/m (upside down U/m). p = 8900 kg/ m cubed, Cp= 440 J/(kg K). Passage of electrical current produces thermal energy generation = I triangle V= I squared R (J/sec).
Note that Units: Volts = J/coulomb; ohms = volts/amps; amps = coulombs/sec.
If the wire is bare with convective heat flow to the surroundings at T infinity = 25 degrees Celsius with h = 18 W/ (m squared K), calculate the steady-state temperature of the wire.