Electrical Engineering ⇒ Topic : Reciprocity Theorem with d.c

Samual
 
Reciprocity Theorem In any linear bilateral network, if a single voltage source V_{a} in branch 'a' produces a current l_{b} in branch 'b', then if the voltage source V_{a} is removed and inserted in branch 'b' will produce a current l_{b }in branch 'a'. The ratio of response to excitation is same for the two conditions mentioned above. This is called the reciprocity theorem. Consider the network shown in Fig. (1). AA' denotes input terminals and BB' denotes output terminals. The application of voltage V across AA' produces current I at BB' . Now if the positions of the source and responses are interchanged, by connecting the voltage source across BB' , the resultant current I will be at terminals AA'. According to the reciprocity theorem, the ratio of response to excitation is the same in both cases.
figure (1)
 
 
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