DC NETWORK THEOREMS – PART – 07 – RECIPROCITY THEOREM

Reciprocity means a relation of mutual dependence, action or influence.

Reciprocity theorem helps to analyze electrical networks and antenna systems.

RECIPROCITY THEOREM

If a source of emf E (or current I) located at one point in a circuit, containing linear bilateral elements, produces a current I (or voltage V) at another point in the circuit, the same voltage E (or current I) acting at the second point will produce the same current I (or voltage V) at the first point.

[OR]

In any linear bilateral network, the current I through any branch of the network due to a single voltage source V elsewhere in the network is equal to the current through the branch of the network where the source was originally placed if the source is placed in the branch in which the current I was originally determined.

LIMITATION

1. This theorem is applicable only to single source network and not to a multi-source network.

2. It is applicable only when the circuit has one independent voltage or current source and not applicable to circuits having dependent sources.

3. The networks should not have any time varying element.