Study
Guide - Instrumentation Course - Time Constants
Time constants are ubiquitous. They are literally everywhere.
Thermal systems, electrical systems, mechanical systems, even the human
memory exhibit time constant behavior.
-
Why learn about Time Constants?
-
Just because time constants
are everywhere. The idea of a time constant is a very fundamental
idea that appears in many disciplines and understanding time constants
is a bit of knowledge that can help you learn fundamental ideas in numerous
disciplines.
-
What background should
you have to study Time Constants?
-
You need to already know
something about differential equations and basic calculus - enoough to
calculate simple responses of linear, first order systems.
-
What do you need to know
about Time Constants?
-
You need to learn what
time constants are and how they shape the responses of linear, first order
systems.
-
You need to learn how
to extract values for time constants from response data.
-
What do you need to get
out of this unit?
-
When you are finished
with this unit you should be able to do the following.
-
Given a data set with
the time response of a sensor with first order dynamics to be able to determine
the time constant from the data using any of three
different methods, and to be able to distinguish data sets where no
time constant can be found (2nd order responses, etc.)
-
Be able to predict
the response of time constant systems (i.e. linear first order systems)
to constant inputs.
-
What are you going to
learn about? Here are some possible topics.
-
What if you need more
information?
-
Problems
Meeting
Notes
-
Time
Constants - Introduction to First Order, Linear System responses.
Laboratory
Exercises - Time Constants.
Here are some links to experiments you can do that will help you learn
about time constants.