Exam #1 Problem #3 3. (20 pts). The Calrod heating element transfers heat largely by a radiation mechanism. If the rate of electrical energy input to the heater is Q and the rot temperature and ambient temperatures are T and T Find the transfer functions relating T' to Q' and T' to T The first thing we realize here is that the equation is non-linear. We will have to linearize the equation to get the transfer functions into standard form. No linearize the equation: Invert into the Laplace domain: Rearrange: Now the transfer functions can be written down directly: |