Well welcome we've completed all our regular lessons in this module.
So now it's time to do a Wrap Up of Module 3.
Looking back at our Concept Map. We pulled forward the ideas of current
and voltage, and sources and resistance from our background module.
And from a Resistive Circuit module, we pulled forward all those methods to
obtain circuit equations. The idea of a KCL, and KVL, mesh, node,
and Thevenin methods all apply to reactive circuits.
Ohm's law applies to reactive circuits. Everything we studied in Resistive
Circuits applied in Reactive Circuits. And in the area of reactive circuits we
looked at capacitors and inductors. We studied first order differential
equations and how we would apply those to solving and analyzing RC, and RL
Circuits. Then we looked at second order
differential equations, and their basic generic solutions, and we saw how that
can applied to RLC circuits. We looked at some applications of
inductance and capacitance outside the area of ECE.
The important concepts and skills that you're going to need to know in order to
be able to do well on the quiz for this module.
Let's start with the area of capacitance and capacitors.
You need to understand the basic structure of a capacitor and its
fundamental physical behavior. Understand the and be able to use the i-v
relationship to calculate current from voltage or voltage from current.
Be able to reduce capacitor connections using parallel and series connections.
So if you have several capacitors, you should be able to reduce it down to one.
Be able to calculate energy in a capacitor.
Be able to sketch current/voltage/power/energy curves.
For inductance and inductors, be able to describe the construction behavior of
inductor. Be able to use the i-v relationship to
find the current through the inductor from the voltage across it, and also, be
able to find the voltage given the current.
Be able to explain how voltage is created across an inductor.
Be able to analyze inductors in series and parallel.
And again, be able to reduce several inductors down to one.
Be able to calculate the energy in an inductor.
And be able to sketch current voltage power energy curves.
We looked at first order differential equations, and under that topic, given a
constant input, and a first order differential equation.
You should be able to determine the steady-state value, time constant and you
should be able to sketch the response. For RC and RL circuits, you should be
able to write a differential equation governing the behavior of the circuit.
And you should be able to calculate the time constant, steady-state value and be
able to sketch the response. For second-order differential equations,
you should be able to identify the steady-state value, be able to predict
the type of response from the roots. We looked specifically at underdamped,
critically damped, and overdamped, and you should be able to identify the type
of plot. How the plot is going to look, whether a
damp sine wave or whether it looks exponential.
We applied the second-order differential equations to RLC circuits.
You should be able to write the differential equation that governs
behavior of this sort of circuit. Be able to predict the type of response
underdamped, critically damped, overdamped.
You should be able to compute the damping factor and the resonant frequency.
And you should know that the smaller the damping factor, the larger the
oscillations, [UNKNOWN] of applications. You should know the purpose of an
oscilloscope and a function generator. You should know several applications of
conductors and capacitors when they're used with non-electrical components.
Speficially, we looked at sensors and actuation.
So that concludes the first three modules of this course.
Our next module is going to be frequency analysis.
As a reminder, do all homework for this module, study for the quiz, and continue
to visit the forum, to ask questions. And please try and answer questions from
others. Thank you and good luck on the quiz.