Lunes, Enero 11, 2016

Superposition Theorem


The Superposition Theorem states that the voltage across (or current through) an element in a linear circuit is the algebraic sum of the voltage across (or current through) that element due to each independent source acting alone.

The principle of Superposition helps us to analyze a linear circuit with more than one independent source by calculating the contribution of each independent source separately. However to apply the superposition principle, we must keep two things in mind:

1. We consider one independent source at a time while all other independent sources are turned off. This implies that we replace every voltage source by 0 V (or a short circuit), and every current sources by 0 A (or an open circuit). This way we obtain a simpler and more manageable circuit.
2. Dependent sources are left intact because they are controlled by circuit variables.

Steps to Apply Superposition:
1. Turn off all independent sources except one source. Find the output voltage r current due to that active source using the techniques.
2. Repeat step 1 for each of the other independent sources.
3. Find the total contribution by adding algebraically all the contributions due to independent sources.

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