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Article or Presentation
193
views
56
downloads
0
comments
2007-Joseph_Myers-Brian_Winkel-Modeling_a_Mystery_Circuit_in_Mathematics_Class_Using_Differential_Equations_Laplace_Transforms_and_Transfer_Functions
We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit.
circuit
Laplace transform
transfer function
mystery circuit
voltage frequency
two loop circuit
Potential Scenario
164
views
68
downloads
0
comments
2011-Kenny_Harwood-Modeling a RLC Circuit Current with Differential Equations
This paper gives an abbreviated description of the photovaltaic effect (solar power production process) and then a RLC circuit will be modeled that is powered by a photovaltaic panel.
tuning
frequency response
LC circuit
RLC
Modeling Scenario
844
views
701
downloads
0
comments
4-023-MysteryCircuit-ModelingScenario
Students to build a system of differential equations which model a circuit. We give each student a unique input voltage frequency parameter and ask for system response (gain) to that input as a voltage over one of the resistors.
filters
circuit
RLC circuit
Kirchhoff
voltage
gain
driver
Potential Scenario
138
views
35
downloads
0
comments
2008-Padir-EtAl-Teaching Differential Equations in a Diverse Classroom
The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a 3-Story Building in an Earthquake, Triple Pendulum, Nonlinear Circuit. Phase portraits were offered in each case.
circuit
earthquake
vibration
pendulum
buiklding
triple pendumlum
nonlinear circuit
Potential Scenario
209
views
79
downloads
0
comments
1997-Jeff_Graham-Julia_Barnes-A Laboratory Experience for Students of Differential Equations Using RLC Circuits
Acknowleging that applied mathematics courses rarely offer any hand-on experiences the authors constructed an RLC circuit from which they collected data and validated the differential equation of the RLC circuit.
data
collections
laboratory
circuit
RLC
Potential Scenario
161
views
79
downloads
0
comments
2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.
circuit
voltage
capacitor
nondimensionalization
Modeling Scenario
304
views
186
downloads
0
comments
3-075-RLCCircuits-ModelingScenario
We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.
resistance
circuit
voltage
inductance
capacitance
current
Kirchhoff's Law
Modeling Scenario
270
views
326
downloads
0
comments
1-077-RLMSimSeriesCircuit-ModelingScenario
In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using...
Measurement
circuit
voltage
current
validation
SPICE
RL circuit
Multilsim
Modeling Scenario
399
views
314
downloads
0
comments
3-067-RLCSeriesCircuit-ModelingScenario
In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical...
resistance
Multisim
circuit
RLC circuit
inductance
capacitance
cimulation
governing equation
Modeling Scenario
240
views
508
downloads
0
comments
3-076-CircuitBuilding-ModelingScenario
In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients.
simulation
experiment
Multisim
circuit
inductance
capacitor
Kirchhoff's Voltage Law
resistor
Potential Scenario
156
views
42
downloads
0
comments
2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.
laboratory
data collection
RLC circuit
invers problem
electrical circuit
Potential Scenario
246
views
82
downloads
0
comments
2012-Bech-EtAl-Resources For Engineering Applications Of Math
Illustrations of applied mathematics including statics, truss, heat equation, column analysis, coupled oscillators, feedback control, AC circuit, chemical reactions, kinetics.
kinetics
heat equation
column analysis
coupled oscillators
feedback control
AC circuit
chemical reactions
Modeling Scenario
488
views
411
downloads
0
comments
1-096-OP-AMP-Differentiator-ModelingScenario
The output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and compared with the data acquired from numerical model (using...
simulation
Measurement
feedback
Multisim
circuit
voltage
operational amplifier
validation
SPICE
Modeling Scenario
271
views
216
downloads
0
comments
3-105-FrequencyResponse-ModelingScenario
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
transient dynamics
circuit
spring mass
driver
frequency response
amplitude
steady state
Modeling Scenario
390
views
472
downloads
0
comments
4-060-CircuitTuner-ModelingScenario
We present essential definitions and laws for the study of simple RLC electrical circuits and build a differential equation model using these notions. We describe how such a circuit can be used to tune a radio to a certain input frequency.
resistance
ciircuit
tuned mass tuner
frequency
Kirchhoff
voltage
gain
frequency response
amplitude
s Voltage Law
inductance
capacitor
I am currently working in redesining an existing microbiology course. I would like to be part of ed
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