Friday, March 30, 2012

Thevenin Equivalents

Purpose

       The purpose of this lab is to simplify a complex circuit by using Thevenin Equivalent method. We were given the engineering problem of finding the smallest equivalent load resistance that can be used in a system of multiple sources and loads. Using Thevenin Equivalent, only VTh, RTh, and Rload 2. Therefore, using nodal analysis, we calculated Vth = 8.64V and I load 2 = 0.131 A, and found RTh with RTh = VTh/ I load 2 = 66 Ω,  RL2 = 825 Ω.



Results
Config          Theoretical Value          Measured Value           % error
RL2                   Vload2 = 8V                   7.99V                       0.13%
RL2 infi.            Vload2 =8.64V               8.63V                       0.12%

Extra

Pmax = 8.64^2/(4*66)=0.28W

Overall, values were fairly close with both circuits. Percent error may have been the result of using 9.07V for power sources instead of an ideal 8V.




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