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Linear Circuits 1 - 26 - Inductors, Part 2
Rating: 4.8 out of 5(36 ratings)
1,942 students

Linear Circuits 1 - 26 - Inductors, Part 2

What is a time constant, and how is it calculated for a resistor-inductor circuit?
Created byMark Budnik, Mark M. Budnik
Last updated 6/2020
English

What you'll learn

  • How do I solve circuits with inductors?
  • How do I find the initial and final values for current in an inductor circuit?
  • What is a time constant?
  • How do I calculate the time constant for a resistor-inductor circuit?

Course content

1 section • 10 lectures • 39m total length

  • Agenda0:13
  • Review5:43

    Define the time constant for resistor–inductor circuits and derive the initial and final voltages and currents in an inductor, predicting exponential decay with time.

  • The Only Four Equations that Can Describe Resistor-Inductor Current and Voltage7:39

    Learn the four equations that describe exponential voltage and current in inductors, including decays to zero or non-zero endpoints with initial, final, offset values, and the time constant tau.

  • The Time Constant Describes How Fast RL Circuits' Voltages and Currents Decay5:22

    Explore how the time constant controls voltage and current decay in rl circuits using v0 e^{-t/tau}, with drops to 37% after one, 14% after two, and 5% after three.

  • The Time Constant Describes How Fast RL Circuits' Voltages and Currents Rise2:52

    Explore how voltages and currents in RL circuits rise toward their final values, reaching 63% at one time constant, 86% at two, and 95% at three.

  • An Equation for the Time Constant, Tau, for Resistor-Inductor Circuits1:03

    Calculate the time constant tau for resistor-inductor circuits by dividing inductance by the resistance the inductor sees, with practical examples.

  • A First Example5:03

    An introductory inductor–resistor circuit demonstrates current decay from 3.5 amps, with a time constant of 45 ms (L/R), following i(t)=I0 e^{-t/τ}.

  • Changes in the Time Constant, Tau, Affect the Rate of Decay in RL Circuits5:04
  • A Second Example4:37

    Explore a 680 μH inductor with 50 A initial current, fed through a 1 Ω resistor into a 2 Ω || 3 Ω parallel, yielding time constant and current distribution.

  • Summary1:42

    Explore how resistor-inductor circuits cause current to change gradually, governed by the time constant L/R, and predict voltage and current behavior.

Requirements

  • High School or College Physics
  • Calculus 1 Would Be Extremely Helpful

Description

Day 26 of Linear Circuits.  Inductors are one of the three passive circuit components (along with resistors and capacitors).  However, their operation and behavior is often shrouded in mystery.  After seeing what inductors are and how they work in our previous lecture, today, we will see how we can always find the initial and final values for resistor-inductor circuits' currents and voltages AND specify their entire behavior by just one variable -- the time constant, TAU.


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

Who this course is for:

  • Beginner Engineering and Physics Students

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