# ELECTRICAL STUDY MATERIAL | SUPERPOSITION THEOREM

THEOREMS | SUPERPOSITION THEOREM |SUPERPOSITION THEOREM TUTORIAL | SUPERPOSITION THEOREM NOTES | SUPERPOSITION THEOREM STUDY MATERIAL | SUPERPOSITION THEOREM MATERIAL | SUPERPOSITION THEOREM PREPARATION MATERIAL|NETWORK THEOREMS

SUPERPOSITION THEOREM

When a number of voltage and current sources are acting in a linear network simultaneously, the resultant current in any branch of the circuit is the algebraic sum of the currents produced by activating one source at a time while de-activating the other sources. The voltage source is replaced by its internal resistance while the current source is replaced by open-circuit

This theorem is applicable only in linear circuits , i.e circuits consisting of resistances or impedances in which ohm’s law is valid.

The above theorem is applied when we are to determine the current in any particular branch of a network containing several voltage sources or current sources or both voltage sources and current sources.

EXAMPLE PROBLEM FOR UNDERSTANDING :

Use the superposition theorem to determine the current through the resistor R = 4 Ω for the network. Solution:

step-1: let us first de-activate the 10V voltage source, the circuit becomes as shown  step-2: Now the source 12V is de-activated. The circuit then becomes as shown   THEOREMS | SUPERPOSITION THEOREM |SUPERPOSITION THEOREM TUTORIAL | SUPERPOSITION THEOREM NOTES | SUPERPOSITION THEOREM STUDY MATERIAL | SUPERPOSITION THEOREM MATERIAL | SUPERPOSITION THEOREM PREPARATION MATERIAL|NETWORK THEOREMS