Theory
| RC
Low-Pass Filter |
RC
Step Response |
Tank Flow
First-order
systems are those which can be described by first-order differential
equations. A common example is the RC circuit.
The
files listed below are a combination of PDF tutorial documents,
voice annotated tutorial documents (FLASH and AVI), MATLAB Graphical
User Interfaces (GUIs), and LabVIEW GUIs. The MATLAB GUIs are
available for both MATLAB 6.5 and 7.0. In addition, MATLAB .exe
files are also available for those without MATLAB and can be used
with the MATLAB Runtime Engine.
See
the general MATLAB GUI instruction file below for more information
on system requirements and how to run the GUIs. The LabVIEW GUI .zip
files contain a stand-alone version which does not require LabVIEW
to run. See the readme in the .zip file for more information.
Each
GUI .zip file contains a document of suggested exercises to be
performed with the GUI.
|
General
MATLAB GUI Instruction
|
PDF |
First-Order
Theory
|
First-Order
Theory
|
PDF |
|
Overview
of the theory of first-order systems: ODE and homogeneous and
particular solutions.
|
|
First-Order
Block Diagram Modeling
|
PDF |
|
How
to model a first-order system using a block diagram. An
example is constructed using Simulink, and a sample response
is shown.
|
Project
|
RC Circuit Project for Differential Equations Class |
PDF |
|
This project, developed by
Stephen Pennell, was given in a differential equations class. It
asks students to develop and analyze a mathematical model of an
RC circuit. |
First-Order
RC Circuit as Low-Pass Filter
|
Filtering
with RC Circuits
|
PDF |
|
Use
of an RC circuit as a low-pass filter, including system model
description, filtering characteristics, discussion of cut-off
frequency, and examples of use for filtering sinusoidal
signals.
|
|
Cut-off
Frequency
|
PDF |
|
Discussion
of Cut-off Frequency, which is an important characteristic of
filtering devices such as RC Circuits.
|
|
MATLAB
GUI Download
|
M6.5
|
M7.0
|
EXE
|
|
M6.5
and M7.0 open in MATLAB, EXE is a stand-alone GUI |
|
Allows
the user to explore the behavior of an RC circuit low-pass
filter. Vary the R and C values of the circuit, view the Bode
plot of the filter response, and the effect of the filter on a
sinusoidal signal in the time domain.
|
|
GUI
Overview
|
PDF
|
FLASH
|
AVI
|
|
GUI
Assignment
|
PDF
|
FLASH
|
AVI
|
|
FLASH
- Streamed (Requires Plugin) / AVI - Non Streamed |
|
LabVIEW
GUI Download
|
LabVIEW |
|
LabVIEW
not needed, zip file contains set-up for stand-alone GUI |
|
This
GUI allows the user to examine the effects of an RC circuit,
low-pass filter on a sinusoidal signal. The R and C values and
the input frequency can be adjusted independently.
|
|
GUI
Overview
|
PDF |
FLASH |
AVI |
|
GUI
Assignment
|
PDF |
FLASH |
AVI |
|
FLASH
- Streamed (Requires Plugin) / AVI - Non Streamed |
First-Order
RC Circuit Step Response
|
First-Order
Systems Step Response Overview
|
PDF |
|
Description
of first-order system model and discussion of the response to
a step function, the effect of varying the time constant of
the system, and how to find the step response in MATLAB.
|
|
MATLAB
GUI Download
|
M6.5
|
M7.0
|
|
|
M6.5
and M7.0 open in MATLAB |
|
The
user can vary the R and C values of the circuit, and see the
response of the circuit to a step function, the time constant,
and the settling time.
|
|
GUI
Overview
|
PDF
|
FLASH
|
AVI
|
|
GUI
Assignment
|
PDF
|
FLASH
|
AVI
|
|
FLASH
- Streamed (Requires Plugin) / AVI - Non Streamed |
|
LabVIEW
GUI Download
|
LabVIEW |
|
LabVIEW
not needed, zip file contains set-up for stand-alone GUI |
|
This
GUI shows the response of a first-order, RC circuit to a unit
step input. The R and C values can be adjusted to change the
time constant of the system.
|
|
GUI
Overview
|
PDF
|
FLASH
|
AVI
|
|
GUI
Assignment
|
PDF
|
FLASH
|
AVI
|
|
FLASH
- Streamed (Requires Plugin) / AVI - Non Streamed |
Gravity Driven Flow (GDF) in a Tank
|
MATLAB
GUI Download
|
M7.0 |
|
M7.0 opens in MATLAB |
|
This GUI Simulates the draining
of a tank under various conditions in order to address the
dynamics of gravity driven flows.
|
|
GUI
Overview
|
PDF |
|
GUI
Assignment
|
PDF |
We
would greatly appreciate any feedback
you can provide to us about whether you have found this material
useful.
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