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Linear Circuits 1 - 14 - Nodal Analysis, Part 1
Rating: 4.9 out of 5(33 ratings)
2,165 students

Linear Circuits 1 - 14 - Nodal Analysis, Part 1

A process to solve any linear circuit
Created byMark Budnik, Mark M. Budnik
Last updated 9/2020
English
English [Auto],

What you'll learn

  • What is nodal analysis?
  • Why is nodal analysis important?
  • How can I use nodal analysis to solve any linear circuit?

Course content

1 section • 12 lectures • 48m total length

  • Agenda0:10
  • A Word on Linear Circuits Textbooks....0:19
  • Review2:48

    Learn nodal analysis through core rules and equations, including Ohm's law, power, current and voltage source behavior, and Kirchhoff's current law, with practical series and parallel resistor division.

  • Setting Up a Nodal Analysis Problem4:54

    Set up a nodal analysis by identifying a ground node, defining unknown voltages and currents, and applying Kirchhoff's current law and Ohm's law to yield two equations with two unknowns.

  • Math = Puppies = Not Scary6:38

    Master nodal analysis with two equations and two unknowns, solving for node voltages v_a and v_b by substitution after removing fractions; emphasizes slow, careful arithmetic.

  • Finishing Our First Nodal Analysis Problem2:13

    Set left node to 5 V and right node to 2 V; i2=2.5 A (2 Ω), i1=2 A (1 Ω), i5=0.6 A (5 Ω). Verify with Kirchhoff current equations.

  • One Process to Rule Them All2:39

    formalize the ad hoc approach into a formal nodal analysis process, then simplify the circuit, identify and ground nodes, write and solve the kcl and ohm's law equations.

  • A Nodal Analysis Example7:35

    Learn nodal analysis on a circuit using a nine-step process, including simplifying parallel resistors, defining three nodes, grounding, and applying Kirchhoff and Ohm's law.

  • Solving the Nodal Analysis Example6:08

    Apply nodal analysis to substitute Ohm's law into Kirchhoff's current law equations, solve two unknown node voltages Vx and Vy, and verify the results with the corresponding currents and voltages.

  • What Would Happen If We Chose a Different Ground?4:03

    Explore how choosing a different ground in nodal analysis shifts node potentials but keeps current and resistor voltage drops unchanged, since ground choice is arbitrary and Ohm's law holds.

  • Another Nodal Analysis Example - From Beginning to End10:14

    Walk through a nodal analysis problem using a nine-step process: simplify circuit, set nodes and ground, apply Kirchhoff's current law and Ohm's law, solve for V10 and V5, and verify.

  • Summary1:08

    Master the nine step nodal analysis process and a step by step approach, emphasizing careful checks and deliberate work over rushing.

Requirements

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

Description

Day 14 of Linear Circuits.  We introduce nodal analysis as a systematic process that can be used to solve any linear circuit.  While nodal analysis can seem daunting at first, it turns out, that all we are really doing is applying Kirchhoff's Current Law (KCL) and Ohm's Law over-and-over again.  Not too scary!   : )


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

Who this course is for:

  • Beginner Engineering and Physics Students

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