Linear Circuit Analysis
1. Introduction
2. Basic Concepts
- Currents and voltages
- Linear circuits
- Linear components
- Loops and nodes
- Series and parallel
- R, L & C combinations
- V & I combinations
- Power and energy
3. Simple Circuits
- Ohm's law
- Kirchhoff's current law
- Kirchhoff's voltage law
- Single loop circuits
- Single node-pair circuits
- Voltage division
- Current division
4. Nodal and Mesh Analysis
5. Additional Analysis Techniques
6. AC Analysis
7. Operational Amplifiers
8. Laplace Transforms
9. Time-Dependent Circuits
- Introduction
- First-order transients
- Nodal analysis
- Mesh analysis
- Laplace transforms
- Additional techniques
10. Two-port networks
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.
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 $$\begin{equation}I=\frac{V}{R}\end{equation}$$