5.7 RECIPROCITY THEOREM
The nodal conductance matrix and mesh resistance matrix of a memoryless circuit without any dependent sources in it (i.e., a pure resistive circuit) are symmetric matrices. Reciprocity Theorem for resistive circuits is a restatement of this fact.
Let us consider a pure resistive circuit with only one independent current source driving it as shown in circuit of Fig. 5.7-1(a).
A current source of value I is connected across a node-pair ‘i’ and ‘j’. Two other nodes – ‘k’ and ‘m’ – form a node-pair across which the voltage can be measured. There is no other independent source or dependent source inside the circuit in the box.
The nodal analysis formulation of this circuit will result in a matrix equation YV = I, where Y is ...
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