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Linear Circuits 1 - 16 - Linearity and Superposition, Part 1
Rating: 4.8 out of 5(25 ratings)
1,867 students

Linear Circuits 1 - 16 - Linearity and Superposition, Part 1

How to Use the Principles of Linearity and Superposition to Simplify Your Circuits
Last updated 9/2020
English
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What you'll learn

  • How to use the principles of linearity and superposition to solve linear circuits

Course content

1 section10 lectures43m total length
  • Agenda0:11
  • A Word on Linear Circuits Textbooks....0:19
  • Review4:50

    Review the fundamentals of linearity and superposition, revisit Ohm's law and power, and apply nodal analysis with Kirchhoff's laws to solve circuit unknowns, while preparing for faster techniques.

  • Reminder of How Long Nodal Analysis Problems Take4:15

    Explore nodal analysis and the benefits of linearity and superposition for simplifying circuit problems. Learn to solve for node voltage and currents using Ohm's law in an eight-ohm resistor case.

  • You Can Break Circuits into Smaller Pieces4:15

    Learn how linearity and superposition let you break circuits with multiple voltage sources into smaller pieces, apply Ohm's law to each, and sum results to find the current or voltage.

  • Linearity and Superposition2:16

    Use linearity and the superposition principle to break a large circuit into smaller ones, solve each, and sum results for the final answer while ignoring one source at a time.

  • Redo the Nodal Analysis Problem with Linearity and Superposition5:35

    Use linearity and superposition to redo nodal analysis by splitting circuit into two parts, turning off voltage and current sources, and applying current division and Ohm's Law to sum i8.

  • A Linearity and Superposition Example with Three Sources9:07

    Apply linearity and the superposition principle to a three-source circuit, breaking it into smaller parts and using current division and Ohm's law.

  • Another Linearity and Superposition Example that Will Make You Think10:39

    Apply linearity and superposition to compute the voltage drop across the turnham resistor by splitting the circuit into two subcircuits, using series-parallel reductions, a voltage divider, and current division.

  • Summary1:34

    Apply linearity and superposition to break a circuit into smaller parts, then sum results, and ignore voltage sources as shorts and current sources as opens to reinforce fundamentals.

Requirements

  • High School or College Physics
  • We Also Recommend Our Previous Linear Circuits Classes

Description

Day 16 of Linear Circuits.  Linearity and superposition are powerful tools to simplify and solve linear circuits.  Using these two principles, we can break our larger circuits into different, but substantially smaller circuits. Then, we can simply add the results of our smaller circuits together to get our final answer.   


The material covers all of the lecture material from an sixteenth lecture in a traditional, sophomore-level linear circuits class.

Who this course is for:

  • Beginner Engineering and Physics Students