In a multisource network consisting of linear, bilateral elements the current through any given element is equal to
the algebraic sum of currents produced independently in that element by each source acting alone, when all other
remaining sources are replaced by their internal resistances.
Consider a network shown in figure. Let us calculate the current in branch AB of the network. Let current through
branch AB is I AB .
Let source V1 is acting alone. The other source is to be replaced by short circuit. Let IAB’ is the current through branch AB. Find the current I AB’ by using any of the network reduction methods e.g. KVL or current division rule.
Let source V2 is acting independently. The other source is to be replaced by short circuit. Let IAB” is the current through branch AB. Find the current I AB’’ by using any of the network reduction methods e.g. KVL or current division rule.
According to the superposition theorem, the total current through branch AB is the sum of currents through branch AB produced by each source acting independently.
Hence , IAB = IAB’due to V1+ IAB” due to V2
Explanation of Thevenin’s theorem.
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