A copper wire that is 1 mm thick and 30 cm long is connected to a 1 V battery.
a. Find the current in the wire when its temperature is 20 °C.
b. What is the power dissipated in the wire at this temperature?
c. If all of the power goes into heating up the wire, find the temperature of the wire in 10s. (the density of copper is 8.9 g/cm3 and specific heat is 0.39 J/g · °C).