Superposition Theorem
Superposition Theorem states that if a linear network contains multiple (two or more) independent sources, the resultant current/voltage in any branch will be equal to the algebraic sum of the currents/voltages due to independent sources acting alone. The rest of the independent sources being replaced by their respective internal resistances.
Procedure for using the Superposition Theorem
In order to find the contribution of voltage or current source, the other independent sources needs to be deactivated. In case of voltage source it is replaced by short circuits, whereas the current sources are replaced by open circuits. This process has to be repeated for each source and the response needs to be calculated. Once all the responses are calculated the total response can be calculated by taking the algebraic sum of each of the individual responses.
Solved example
Q. Use the superposition theorem to find v in the circuit shown
V1 = 4i1 = 4 X (6/12) = 2V
Consider current source only (voltage source 6V is discarded by short circuit)
V2= 4i3 =4 x (3 x 8/12) = 8V
Total voltage V=V1+V2 = 10V
Network Analysis in Electric Circuits
In this Article We will be going through what is Network Analysis, we will look at its components,then we will go through Electrical Elements, In this we will Know what is active and passive elements and the Different types of connections in electrical circuits, Next we will go through Different types of laws and Solved Examples on it, Similarly we will go through different theorems and at last we will conclude this article with Advantages, Disadvantages, Applications, and FAQs.
Table of Content
- What is Network Analysis?
- Electrical Elements
- Different laws in Network Analysis
- Theorems Used for Electrical Circuit Network Analysis
- Advantages of network analysis
- Disadvantages of network analysis
- Applications of Network Analysis