EE 1106: Introduction to EE Freshman Practicum

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EE 1106 Introduction to EEFreshman Practicum

• Lecture-Lab Introduction to signals and systems,
  RLC dynamical circuit

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Signals and Systems

• Signal
• Any time dependent physical quantity
• Constant DC, Variable - AC
• Electrical, Optical, Mechanical
• System
• Object in which input signals interact to produce
  output signals.
• Linear System has some have fundamental
  properties that make it predictable
• Sinusoid in, sinusoid out of same frequency (when
  transients settle)
• Double the amplitude in, double the amplitude out
  (when initial state conditions are zero)

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System Modeling

• Building mathematical models based on observed
  data, or other insight for the system.
• Parametric models (analytical) ODE, PDE
• Non-parametric models graphical models - plots,
  look-up cause-effect tables
• Mental models Driving a car and using the
  cause-effect knowledge
• Simulation models Many interconnect
  subroutines, objects in video game

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Types of Models

• White Box
• derived from first principles laws physical,
  chemical, biological, economical, etc.
• Examples RLC circuits, MSD mechanical models
  (electromechanical system models).
• Black Box
• model is entirely derived from measured data
• Example regression (data fit)
• Gray Box combination of the two

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White Box Systems Electrical

• Defined by Electro-Magnetic Laws of Physics
  Ohms Law, Kirchoffs Laws, Maxwells Equations
• Example Resistor, Capacitor, Inductor

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Physics of an Inductor
Core flux, f
Truncated hollow cylinder of permeability,
m,area, A, andlength lm.
Coil current, i
Flux linkage, l
Coil ofN turns
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Voltage Drop Across Inductor
Note Passive SignConvention
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Energy in an Inductor
Stored Energy
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Physics of a Capacitor
Current, i, and Charge, q.
Plate area, A
Plate separationdistance, g
Voltageacross plates
Dielectric material ofpermittivity, e.
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Physics of a Capacitor
Current
Capacitance
Note PassiveSign Convention
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Energy in a Capacitor
Stored Energy
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Inductors in Series
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Capacitors in Parallel
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Inductors in Parallel
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Capacitors in Series
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RLC Circuit as a System
Kirchoffs Voltage Law (KVL)

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RC Circuit as an Example of First order Linear
Time Invariant System from http//www.electronic
s-tutorials.ws/rc/rc_1.html with modifications
OUTPUT
SYSTEM
INPUT
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RC Circuit as an Example of First order Linear
Time Invariant System from http//www.electroni
cs-tutorials.ws/rc/rc_3.html with modifications
OUTPUT
INPUT
SYSTEM
INPUT
OUTPUT
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RC Circuit as an Example of First order Linear
Time Invariant System from http//www.electroni
cs-tutorials.ws/rc/rc_3.html with modifications
OUTPUT
INPUT
SYSTEM
INPUT
OUTPUT
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RC Circuit as an Example of First order Linear
Time Invariant System from http//www.electroni
cs-tutorials.ws/rc/rc_3.html with modifications
OUTPUT
INPUT
SYSTEM
INPUT
OUTPUT
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Integrator and Low Pass Filter from
http//www.electronics-tutorials.ws/rc/rc_3.html
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Differentiator and High Pass Filter from
http//www.electronics-tutorials.ws/rc/rc_3.html
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Lab 9 Circuits

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Next Time MSP 430, Bring Computer and Install
Code Composer