Intermediate DC Circuit Theory

This intermediate course on DC circuit analysis discusses various methods of analyzing circuits to determine currents and voltages. This course requires knowledge of the derivative, which is used to prove what condition needs to be met for maximum power transfer. The remainder of the course only requires basic algebra. The course outline is as follows:

• Introduction
• Review
  • Ohm's Law
  • Power
  • Kirchoff's Current Law
  • Kirchoff's Voltage Law
  • Norton's Equivalent Circuit
• Conductances
• Mathematical Preliminaries
  • Linear Equations
  • Systems of Linear Equations
  • Linear Independence
  • Condition for a Solution
  • Matrix Notation
  • Matrix Transpose
  • Matrix Multiplication
  • The Identity Matrix
  • Matrix Inverse
  • Solution of the Problem
• Nodes and Branches
• Branch Current Analysis
  • Setting up the equations
  • Solving for the currents
• Mesh Analysis
  • Limitations
  • Setting up the Equations
  • Determining the solution
• Nodal Analysis
  • Setting Up the Equations
• Delta-Wye (Pi-Tee) Conversion
• Maximum Power Transfer
• Summary