Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 EE 1106 : Introduction to EE Freshman Practicum Lecture-Lab: Introduction to signals and systems, RLC dynamical circuit

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 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)

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 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

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 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

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 White Box Systems: Electrical Defined by Electro-Magnetic Laws of Physics: Ohm’s Law, Kirchoff’s Laws, Maxwell’s Equations Example: Resistor, Capacitor, Inductor

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Physics of an Inductor Truncated hollow cylinder of permeability,  area, A, and length l m. Coil of N turns Flux linkage, Core flux,  Coil current, i

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Voltage Drop Across Inductor Note Passive Sign Convention

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Energy in an Inductor Stored Energy

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Physics of a Capacitor Plate separation distance, g Plate area, A Current, i, and Charge, q. Dielectric material of permittivity, . Voltage across plates

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Physics of a Capacitor Current: Capacitance: Note Passive Sign Convention:

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Energy in a Capacitor Stored Energy:

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Inductors in Series

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Capacitors in Parallel

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Inductors in Parallel

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Capacitors in Series

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 RLC Circuit as a System Kirchoff’s Voltage Law (KVL):

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 INPUT SYSTEM OUTPUT RC Circuit as an Example of First order Linear Time Invariant System from with modificationshttp://

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 SYSTEM INPUT OUTPUT INPUT RC Circuit as an Example of First order Linear Time Invariant System from with modificationshttp:// OUTPUT

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 SYSTEM INPUT OUTPUT INPUT RC Circuit as an Example of First order Linear Time Invariant System from with modificationshttp:// OUTPUT

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 SYSTEM INPUT OUTPUT INPUT RC Circuit as an Example of First order Linear Time Invariant System from with modificationshttp:// OUTPUT

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Integrator and Low Pass Filter from

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Differentiator and High Pass Filter from

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Lab 9 Circuits

Dan O. Popa, Intro to EE, Freshman Practicum, Spring 2015 Next Time: MSP 430, Bring Computer and Install Code Composer 24