If you stop cooling a resistor and stop current simultaneously then what happens to the temperature of the resistor in the next few moments? My question is actually about whether a computer CPU will continue to heat up at all when the computer is switched off (Stopping any power to the CPU, so no resistance (and heat) being generated but also no cooling from the fans) or whether it will only get as high as the temperature of the CPU at the instant the computer was switched off ? I guess this is more or less the same as this simpler question: Imagine you have current flowing through a resistor which is capable of generating large amounts of heat but you are also cooling the resistor in some way so that it is at a stable temperature at say 20 degrees above room temperature. How would the temperature of the resistor change if you were to simultaneously stop the flow of current by breaking the circuit and stop cooling the resistor? Would it continue to increase for a moment or a while? Would it immediately start to drop?