examII_w2005_soln - Name MAE 4800 Exam II Open notes Open...

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Name:_____________________________________ MAE 4800 Exam II May 13, 2005 Open notes Open book Closed neighbors Open mind Notes: Start exam when instructed – you will be given 120 minutes to complete the exam Write name at top of each page and any additional pages Read each problem carefully – if you still do not understand, ask Clearly state all assumptions Clearly show all your work, commenting on what you are doing – keep in mind that your exam communicates to those who are grading what you know To maximize points, plug in numbers at the end – solve algebraically first Reference table you are using for properties Good luck! MAE 4800, Winter 2005 5/13/05
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Name:_____________________________________ Problem 1 (50 points) A factorial study was conducted on a TE module, such as the one in Figure 1, to determine if the load resistance or the temperature difference across the TE is the most dominant parameter influencing the generated power. A simple, 2 factor study was conducted based on the experiment design shown in Table 1 below. The load power for each design point was calculated by averaging 4 replications. Each replication was found from a measurement of the voltage across the load resistor, R L , and a measurement of the load resistance (P L = V 2 /R L ). The nominal values for the voltage and resistance are also shown in the table. The standard deviations (s) for single voltage and resistance measurements are shown in Table 2. R L Figure 1. Sketch of TE Module Attached to a Load Resistor, R L Table 1. Factorial Experiment Design R L T P L [W] V [volts] R L [ ] + + 0.192 0.64 2.1 + - 0.021 0.21 2.1 - + 0.256 0.43 0.7 - - 0.028 0.14 0.7 Table 2. Measurement Standard Deviations for Single Replicate Measurements Measurement Standard Deviation Voltage 0.01 V Resistance 0.1 Ohms Determine which parameter, the load resistance or the temperature difference, is the most dominant factor.
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