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

Single Node-Pair Circuits

Single node-pair circuits can usually be analyzed using Kirchhoff's current law (KCL) and Ohm's law.

For instance, let us consider the circuit shown in Fig. 1, in which we need to compute current $V_0$.

− + 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$$V_0= 10\ V$$

Sample Solved Problems
See also