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                       FIGURE 11.32  Measurement of open-circuit voltage and short-circuit current.











                       FIGURE 11.33  i-v characteristic of exponential resistor.

                         The following are expressions for the true short-circuit current and open-circuit voltage.
                                                              
                                                       i N =  i SC 1 +  r m 
                                                                  ------
                                                              
                                                                  R T
                                                                                                (11.26)
                                                               
                                                       v T =  v OC 1 +  R T 
                                                                   ------
                                                               
                                                                   r m
                       where i N  is the ideal Norton current, v T  the Thévenin voltage, and R T  the true Thévenin resistance.
                       Nonlinear Circuit Elements
                       Description of Nonlinear Elements
                       There are a number of useful cases in which a simple functional relationship exists between voltage and
                       current in a nonlinear circuit element. For example, Fig. 11.33 depicts an element with an exponential
                       i-v characteristic, described by the following equations:

                                                       i =  I 0 e , v >  0
                                                             a v
                                                                                                (11.27)
                                                       i =  – I 0 ,  v ≤ 0

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