Linear Circuit Analysis

1. Introduction
2. Basic Concepts
3. Simple Circuits
4. Nodal and Mesh Analysis (DC)
5. Additional Analysis Techniques (DC)
6. AC Analysis
7. Magnetically Coupled Circuits
8. Polyphase Systems
9. Operational Amplifiers
10. Laplace Transforms
11. Time-Dependent Circuits
12. Two-Port Networks
Appendix

Single Node-Pair Circuits

Single node-pair circuits can typically be analyzed using Kirchhoff's current law (KCL) and Ohm's law. For instance, consider the circuit shown in Fig. 1, where we need to compute the voltage $V_0$.

− + V0 2Ω 4Ω 2A 1Ω 7A 4Ω
Fig. 1. Applying KCL to compute the voltage in a single node-pair circuit.

Noticing that the voltage from the black (top) node to the red (bottom) node is $V_0$ and using Ohm's law, we can write KCL as $$\frac{V_0}{4}+\frac{V_0}{1}-7+\frac{V_0}{4}+2+\frac{V_0}{2}=0$$ which can be solved to obtain$$V_0= 10\ {\class{mjunit}{V}}$$

Examples of Solved Problems
See also