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Reciprocity Theorem

Reciprocity Theorem. Lecture No.9 By – Engr Sajid Hussain Qazi Lecturer Mehran University C.E.T Khairpur. RECIPROCITY THEOREM. The reciprocity theorem is applicable only to single-source networks.

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Reciprocity Theorem

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  1. Reciprocity Theorem Lecture No.9 By – EngrSajidHussainQazi Lecturer Mehran University C.E.T Khairpur

  2. RECIPROCITY THEOREM • The reciprocity theorem is applicable only to single-source networks. • It is, therefore, not a theorem employed in the analysis of multisource networks described thus far. • The theorem states the following: • “The current I in any branch of a network, due to a single voltage source E anywhere else in the network, will equal the current through the branch in which the source was originally located if the source is placed in the branch in which the current I was originally measured.” • In other words, the location of the voltage source and the resulting current may be interchanged without a change in current. Engr. S.H.Qazi

  3. In the representative network of Fig. 1(a), the current I due to the voltage source E was determined. If the position of each is interchanged as shown in Fig. 1(b), the current I will be the same value as indicated. FIGURE-1 Engr. S.H.Qazi

  4. To demonstrate the validity of this statement and the theorem, consider the network of Fig-2, in which values for the elements have been assigned. The total resistance is Fig-2 And Engr. S.H.Qazi

  5. For the network of Fig-3, Fig-3 Engr. S.H.Qazi

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