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Circuit Theory I Elec 105

Circuit Theory I Elec 105. Study guide for students using Introductory Circuit Analysis, 12 th Ed. by Boylestad. Lecture Overview. Introduction Voltage and Current Resistance Ohm’s Law, Power and Energy Series circuits Parallel circuits Series-Parallel circuits.

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Circuit Theory I Elec 105

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  1. Circuit Theory IElec 105 Study guide for students using Introductory Circuit Analysis, 12th Ed. by Boylestad

  2. Lecture Overview • Introduction • Voltage and Current • Resistance • Ohm’s Law, Power and Energy • Series circuits • Parallel circuits • Series-Parallel circuits • Methods of Analysis • Mesh • Nodal • Network Theorems • Capacitors • Inductors • Magnetic circuits • Sinusoidal Alternating Waveforms Green—before midterm Blue—after midterm

  3. Lab Overview • Using calculators/spreadsheets /breadboards • Using meters to measure resistance, voltage, current • Verifying Ohms Law, Power, and Energy • Series measurements • Parallel measurements • Series-Parallel measurements • Verifying Network Theorems • Testing Capacitors • Testing Inductors • Measuring magnetic circuits Green—before midterm Blue—after midterm

  4. Student photos taking this course Elec105 Sections 01/02 (left) and Section 05/06 (right) in Lecture at Wentworth Hall, Room 308

  5. Week 1—Introduction • Units of measurement • Systems of units: English/metric (MKS &CGS)/SI • Significant figures, accuracy and rounding off • Using powers of ten for calculations and with different devices • Decimal representation: fixed & floating point/scientific/ engineering • Conversions: power of ten and between systems of units • Symbols and using conversion tables • Using calculators/spreadsheets /computers/MatLab • Sample problems Chapter homework: 4, 7, 11, 15, 16, 17, 18, 23, 29, 36, 42, 45 (all letters)

  6. Homework demo Chapter 19/23/14 Using formulas and proportions to solve equations. Recognizing errors. Ball parking the answers to validate your answer by estimation How to solve unit conversion problems, selecting the right conversion factors or inverting it, which is more accurate: miles or feet?

  7. Homework Demo Chapter 1 9/23/14 How to recover from errors in calculations, decimal placement, not reading the question right, double-checking, selecting units & tracking unit cancellations

  8. Week 2—Voltage and Current (V & I) • Atomic structure of atoms: • Protons, Neutrons, Electrons, Shells • Coulomb’s Law • Forces and charges • Conventional flow vs. electron flow • Voltage—what is voltage? • Current—what is current? • Voltage sources • Ampere-hour rating • Conductors and insulators • Semiconductors • Ammeters • Voltmeters • Applications • Sample problems Chapter homework: 2, 4a, 6, 8, 10, 13, 18, 16, 22, 29, Preview Ch.3 power point for 9/17 Begin Multisim lab #1

  9. Week 2 photos of board work Formula 2.2 page 36 defining voltage-energy-charge relationship (left) and rest of board work thru slide 24

  10. Week 2 photos of board work for rest of Ch2 Coulomb’s Law with units and constant k. Battery life 2.8 and sample unit conversions

  11. Week 3—Resistance (R) • Resistance • Formula • Circular Mils (CM) • Wire Tables • Temperature effects • Types of resistors • Variable resistors • Color coding • Conductance • Ohmmeters • Resistivity (r) • Memristor, superconductors, thermistors, photoconductive cells, and varistors • Sample problems Chapter homework: 1a, 2a, 3a, 9a, 11a, 17a, 30a, 35a, 40, 45

  12. Images from Resistance lectures

  13. Week 4—Ohm’s Law, Power, and Energy • Ohm’s Law • Power • Joules • horsepower • Energy • Formula • Kilowatt hour (kWh) • Efficiency • Circuit breakers, GFCIs, and Fuses • Applications • Sample problems Chapter homework: 5, 8, 13a, 20, 23, 36, 37, 40, 50, 56

  14. Board work for Ohm’s Law Lab explanation for Ohm’s Law Lab on 9/22/14

  15. I-V relationship Demonstrating the linear formula y=mx +b is I=(1/R)V+0 Developing I-V relationship as a linear relationship

  16. Chapter 4 board work on Power Theorems Board work on how P=W/t is developed into working formulas for measurement instruments. Also wrote up handout on information on page 107 in text on same material and emailed everyone.

  17. Week 5—Series circuit • Series resistors • Series circuits • Power distribution • Voltage sources in series • Kirchhoff’s Voltage Law (KVL) • Voltage divider rule • Interchanging series elements • Notation • Voltage regulation • Internal resistance of voltage sources • Loading effect of instruments &... • Applications • Sample problems Chapter homework: 2a, 4a, 7, 8, 9a, 12, 16, 18, 23a, 28a

  18. Chapter 5 board work Kirchhoff’s Voltage Law with examples Voltage divider formula with examples

  19. More board work from Chapter 5 More on voltage divider rule with add’l material

  20. Week 6—Parallel Circuits • Parallel resistors • Parallel circuits • Power distribution • Kirchhoff’s Current Law (KCL) • Current divider rule • Voltage source in parallel • Open circuits • Short circuits • Voltmeter loading effects • Summary table • Applications • Sample problems Chapter homework: 3a-c, 5e, 7, 9, 13, 16, 24, 27, 31, 40

  21. Preparations for midterm test Some of the formulas covered parallel circuits like current divider rule and KCL

  22. Post midterm test Went over the problems and covered common errors that occurred. Suggested they needed to do more problems to get comfortable with the type of problems.

  23. Week 7—Series-Parallel Circuits • Series-parallel networks • Reduce and return analysis • Block diagram analysis • Descriptive examples • Ladder networks • Voltage divider as a supply source • Potentiometer loading • Applications • Ammeter, Voltmeter, and Ohmmeter design • Solving circuit problems using a spreadsheet/calculator • Sample problems Chapter homework: 3, 6, 11, 17, 27, 30, 33, 42

  24. Week 8—Methods of Analysis • 1st Lecture • Current sources & conversions • Current sources parallel/series • Branch-current analysis • Problems 1, 2, 7, 11, 15, 19 • 2ndLecture • Use Power Point Nodal & Mesh Analysis • Mesh analysis • Problems 32, 37, 39 • 3rd Lecture • Use Power Point Nodal & Mesh Analysis • Nodal analysis • Problems 40, 43, 48 • 4th Lecture • Bridge networks • Delta-Wye conversions • Problems 57, 66

  25. Week 9—Network Theorems • Superposition Theorem • Thevenin Theorem • Norton’s Theorem • Maximum Power Transfer • Millman’s Theorem • Substitution Theorem • Reciprocity Theorem • Computer analysis • Sample problems Chapter homework: 1, 8, 9, 21, 30, 38, 43, 46

  26. Week 10--Capacitors • The electric field—e • Capacitance • What is it? • How to calculate it? • Capacitors • Transients in capacitive networks • Initial conditions • Instantaneous values • Time constant: RC • The current: iC • Capacitance calculation via series/parallel formulas • Energy stored by a capacitor • Stray capacitances • Applications • Sample problems Chapter homework: 1, 6, 19, 23, 33, 39, 47, 49, 53, 56

  27. Week 11—Inductors • Electromagnetic theory • Calculation of Inductance • Induced voltage vL • Transients: storage/release • Initial conditions • Instantaneous values • Time constant: L/R • Average induced voltage • Inductance calculation via series/parallel formulas • Steady state conditions • Energy stored by an inductor • Samples problems Chapter homework: 1, 2, 3a, 4, 11, 29, 36, 38, 43

  28. Week 12—Magnetic Circuits • Magnetic field • Reluctance • Ohm’s Law for magnetics • Magnetizing Force • Hysteresis • Ampere’s Circuital Law • Flux Φ (Greek PHI) (pronounced as fee) • Series magnetic circuits • Air Gaps • Series-parallel magnetic circuits • Determining Φ • Applications • Sample problems Chapter homework: 3, 5, 7, 9, 14a, 17a, 19

  29. Week 13—Sinusoidal Alternating Waveforms • Characteristics and definitions • Frequency spectrum • Sinusoidal waveform • Voltage and current waveforms • Phase relations • Average value • RMS values • AC meter and instruments • Sample problems Chapter homework: 1, 4, 8, 9 (don’t redraw), 10-14 a only, 17a, 27a, 39, 47

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