Linear Circuits and Systems: KCL, NVA, KVL, and MCA

In this module, we build on node voltage analysis (NVA) and mesh current analysis (MCA) to derive voltage and current divider rules. The module reviews Kirchhoff’s circuit laws, including Kirchhoff’s voltage law (KVL) and Kirchhoff’s current law (KCL), as well as NVA and MCA.



Learning Objectives

After completing this module, you should be able to:

1. Write the KCL equation at a given node.

2. Represent the KCL in terms of node voltages.

3. Write the KVL equation of a particular circuit loop.

4. Represent the KVL in terms of mesh currents.

 


Videos 

Title: M3V1 – Kirchhoff’s Laws, Node Voltage & Mesh Current Methods

Summary: This video covers Kirchhoff’s Circuit Laws (KCL & KVL) and demonstrates two powerful analysis techniques: (a) Node Voltage Analysis: Convert KCL equations into node voltages to simplify circuit solving. (b) Mesh Current Analysis: Transform KVL using loop currents to reduce unknowns. 

Learning Objectives: After watching this lecture, you will be able to 1) Write the KCL equation at a given node, 2) Represent a KCL in terms of node voltages, 3)Write KVL equations of circuit loops, 4) Represent the KVL equations in terms of mesh currents.

Slides With Without Annotations: See the slides 

Slides With Annotations: See the slides



Title: M3V2 – Kirchhoff’s laws revisited
Summary: This video revisits Kirchhoff’s laws and their application to generic circuit elements.

Learning Objectives: After watching this video, you will be able to write KCL and KVL equations in a given circuit to solve for the current or the voltage of a circuit element.


Slides With Without Annotations: See the slides

Slides With Annotations: See the slides