Linear Circuit Analysis

1. Introduction
2. Basic Concepts
3. Simple Circuits
4. Nodal and Mesh Analysis
5. Additional Analysis Techniques
6. AC Analysis
7. Magnetically Coupled Circuits
8. Operational Amplifiers
9. Laplace Transforms
10. Time-Dependent Circuits
11. Two-port networks
Appendix

Source Transformation

Source transformation is the process of simplifying a linear circuit, especially with mixed sources, by transforming independent voltage sources into independent current sources using Norton's theorem, and vice versa using Thévenin's theorem . The process is usually combined with series and parallel simplifications of resistor (or impedance in the case of AC circuits), current sources and voltage sources.

V R I R A B A B
Fig. 1. Example of a source transformation. Notice that resistance $R$ is the same in both configurations. In order for the two circuits to be equivalent the components need to satisfy $V=RI$.
Conversion from Norton to Thévenin equivalent circuit

When transforming a circuit from a Norton equivalent circuit to a Thévenin equivalent circuit the value of the resistance remains the same, while the voltage of the voltage source is $$\begin{equation}V=R I\end{equation}$$

Conversion from Thévenin to Norton equivalent circuit

When transforming a circuit from a Thévenin equivalent circuit to a Norton equivalent circuit the value of the resistance remains the same, while the current of the current source is $$\begin{equation}I=\frac{V}{R}\end{equation}$$

Sample Solved Problems
See also
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Source transformation