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Heat funnction in steady state

  1. Jul 5, 2012 #1
    I was given the following interesting question.

    A closed room contains several identical machines in it, they are fed by an electrical cable.
    The machines can be turned on or off. When a machine is turned on, it consumes electrical energy and as a by product generates heat. The heat is radiated through the room walls to the outside air.
    What is the function that describes the room surface temperature in steady state as a function of the number of machines that are turned on? Is it power 2 or 3 of β (the number of machines that are turned on)?

    In order to simplify the analysis you can assume that the room is a ball.
  2. jcsd
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