Module 1 ELECTRONICS
0 likes382 views
This document provides an overview and review of key concepts in electronics circuits, including: 1) Circuit elements such as resistors, capacitors, and inductors are introduced along with their i-v characteristics and connections in series and parallel. 2) Kirchhoff's laws including Kirchhoff's voltage law (KVL) and Kirchhoff's current law (KCL) are reviewed and applied to example circuits. 3) Impedance, transfer functions, and frequency response plots (Bode plots) are discussed as ways to characterize and analyze AC circuits.
Module 1 ELECTRONICS
- 1. School of Electrical and Computer Engineering Introduction to Electronics Module 1: Overview and Background An introduction to electronic components and a study of circuits containing such devices.
- 2. Dr. Bonnie H. Ferri Professor and Associate Chair School of Electrical and Computer Engineering School of Electrical and Computer Engineering Review of Circuit Elements Review linear circuit components and properties
- 3. Review Resistors, capacitors, inductors ○ i-v characteristics of these elements Sources, nodes Lesson Objectives 3
- 4. Passive Elements Resistor Capacitor Inductor + V - i R iRV = + V - C i dt dV Ci = + V - L i dt di LV = 4
- 5. Series and Parallel Connections Series Parallel Resistors Inductors Capacitors R1 R2 R = R1+R2 R1 R2 R3 3R 1 2R 1 1R 1 1 R ++ = 3C 1 2C 1 1C 1 1 C ++ = C1 C2 C3 C1 C2 C3 C = C1+C2+C3 3L 1 2L 1 1L 1 1 L ++ = L = L1+L2 L1 L2 L1 L2 L3
- 6. Connections and Sources Ground Reference for 0 volts Node Voltage level the same everywhere on the node Voltage Source Independent Dependent Current Source Independent Dependent + - 6
- 8. Dr. Bonnie H. Ferri Professor and Associate Chair School of Electrical and Computer Engineering School of Electrical and Computer Engineering Review of Kirchoff’s Laws Review of KVL and KCL
- 9. Review Kirchhoff’s Current Law (KCL) Kirchhoff’s Voltage Law (KVL) Lesson Objectives 9
- 10. Kirchhoff’s Voltage Law (KVL) The sum of voltages around any closed loop is zero. 10
- 11. KVL Quiz + 2v - + 4v - - 5v ++ -1v - - VH + 11
- 12. KVL and Parallel Circuits 12
- 13. KVL Example 10V 2v + V0 -i1 i2 i3 20Ω 10Ω 5Ω 13
- 14. Kirchhoff’s Current Law (KCL) ∑ ∑= leavingentering ii 14
- 15. KCL and Series Circuits 15
- 16. KCL Example 10V 2v + V0 -i1 i2 i3 20Ω 10Ω 5Ω 16
- 17. Introduced KVL and KCL Applied KVL to parallel elements Applied KCL to series elements Solved a simple circuit using Kirchhoff’s Laws Summary 17
- 18. Dr. Bonnie H. Ferri Professor and Associate Chair School of Electrical and Computer Engineering School of Electrical and Computer Engineering Review of Impedance Review of Impedance for Analyzing AC Circuits
- 19. Review Impedances for steady-state sinusoidal inputs (AC) Lesson Objectives 19
- 20. Impedances In-phase Current leads voltage Current lags voltage Frequency invariant 20
- 26. Introduced KVL and KCL Applied KVL to parallel elements Applied KCL to series elements Solved a simple circuit using Kirchhoff’s Laws Summary 26
- 27. Dr. Bonnie H. Ferri Professor and Associate Chair School of Electrical and Computer Engineering School of Electrical and Computer Engineering Review of Transfer Functions Review of transfer functions for characterizing circuits
- 28. Review transfer functions To characterize a circuit To find frequency response curves Lesson Objectives 28
- 29. Transfer Function Two-Port Networks Vi(t) = Ain(ωt + θin) H(ω) Vo(t) = Aoutcos(ωt + θout) inoutinout )(HA)(HA θ+ω∠=θω= outoutinin oi AAH VVH θ∠=θ∠ω =ω )( )( 29
- 30. Summary of Simple Circuits jRC1 1 H ω+ =ω)( + Vo -Vi + Vo - Vi + Vo - Vi jRCLC1 1 H 2 ω+ω− =ω)( jRC1 jRC H ω+ ω =ω)( 30
- 31. Defined transfer function for Two-Port Networks Showed transfer functions of simple circuits Summary 31
- 32. Dr. Bonnie H. Ferri Professor and Associate Chair School of Electrical and Computer Engineering School of Electrical and Computer Engineering Review of Frequency Response Plots (Bode) Review of linear plots and Bode plots to show the frequency characteristics of signals and circuits
- 33. Define the frequency response for a transfer function Show linear plots and Bode plots Lesson Objectives )(ωH Magnitude Plot: |H(ω)| vs ω Angle Plot: ∠H(ω) vs ω 33
- 34. Frequency Response 0 200 400 600 800 1000 0 0.2 0.4 0.6 0.8 1 ω Magnitude 0 200 400 600 800 1000 -100 -80 -60 -40 -20 0 ωAngle(deg) Transfer Function )tan()( )( )( )( ω−=ω∠ ω+ =ω ω+ =ω RCaH RC1 1 H jRC1 1 H 2 + Vo - Vi 34
- 35. Circuit Response Vi Vo 0 0.05 0.1 0.15 0.2 0.25 -2 -1 0 1 2 Time (sec) v(t) 0 0.05 0.1 0.15 0.2 0.25 -1.5 -1 -0.5 0 0.5 1 1.5 Time (sec) v(t) 0 200 400 600 800 1000 0 0.2 0.4 0.6 0.8 1 ω Magnitude Vi = cos(50t) + cos(800t) Vo = 0.95cos(50t-20o) + 0.13cos(800t-85o) 0 200 400 600 800 1000 -100 -80 -60 -40 -20 0 ω Angle(deg) 35
- 36. Bode Plots Frequency ω (rad/sec) or f (Hz)1 10 100 1000 Frequency ω (rad/sec) or f (Hz)1 10 100 1000 36
- 37. Linear Plot and Bode Plot 10 0 10 1 10 2 10 3 -100 -80 -60 -40 -20 0 ω Angle(deg) 10 0 10 1 10 2 10 3 -25 -20 -15 -10 -5 0 ω Magnitude(dB) 0 200 400 600 800 1000 -100 -80 -60 -40 -20 0 ω Angle(deg) 0 200 400 600 800 1000 0 0.2 0.4 0.6 0.8 1 ω Magnitude 37
- 38. Bode Plot First-Order Characteristics 10 0 10 1 10 2 10 3 -100 -80 -60 -40 -20 0 ω Angle(deg) 10 0 10 1 10 2 10 3 -25 -20 -15 -10 -5 0 ω Magnitude(dB) )tan()( )(1 1 )( 1 1 )( 2 RCaH RC H RCj H ω−=ω∠ ω+ =ω ω+ =ω 38
- 39. Bode Plot of RLC Circuit, Overdamped 10 1 10 2 10 3 10 4 10 5 -80 -60 -40 -20 0 ω Magnitude(dB) 10 1 10 2 10 3 10 4 10 5 -200 -150 -100 -50 0 ω Angle(deg) vs + - vc C L vs + - - R ω+ω− =ω RCjLC H )( )( 2 1 1 39
- 40. Bode Plot of RLC Circuit, Underdamped 10 1 10 2 10 3 10 4 10 5 -60 -40 -20 0 20 ω Magnitude(dB) 10 1 10 2 10 3 10 4 10 5 -200 -150 -100 -50 0 ω Angle(deg) 40
- 41. A is a plot of the transfer function versus frequency The frequency response can be used to determine the steady-state sinusoidal response of a circuit at different frequencies Summary 41