RC Filters B. Furman 09FEB2016.

Slides:

Advertisements

Similar presentations

Lecture 10a’ Types of Circuit Excitation Why Sinusoidal Excitation? Phasors.

Advertisements

Fundamentals of Electric Circuits Chapter 14 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Experiment 17 A Differentiator Circuit

Basic Electronics Review B. Furman 27JAN2015. Lecture Flow Today Items to focus on this week  Lab 1  PortMaster build  HW 1 and Questionnaire due Thursday.

Recap Filters ABE425 Engineering Tony Grift, PhD Dept. of Agricultural & Biological Engineering University of Illinois.

ELE1110C Tutorial 3 27/09/ /09/2006 Cathy, KAI Caihong.

Electronic Instrumentation Experiment 2 * Part A: Intro to Transfer Functions and AC Sweeps * Part B: Phasors, Transfer Functions and Filters * Part C:

1 Electrical Engineering BA (B), Analog Electronics, Lecture 2 ET065G 6 Credits ET064G 7.5 Credits Muhammad Amir Yousaf.

Department of Electronic Engineering BASIC ELECTRONIC ENGINEERING Steady-State Sinusoidal Analysis.

Department of EECS University of California, Berkeley EECS 105 Fall 2003, Lecture 2 Lecture 2: Transfer Functions Prof. Niknejad.

Slide 1EE100 Summer 2008Bharathwaj Muthuswamy EE100Su08 Lecture #11 (July 21 st 2008) Bureaucratic Stuff –Lecture videos should be up by tonight –HW #2:

V–2 AC Circuits Main Topics Power in AC Circuits. R, L and C in AC Circuits. Impedance. Description using Phasors. Generalized.

Electronic Instrumentation Experiment 5 * AC Steady State Theory * Part A: RC and RL Circuits * Part B: RLC Circuits.

R,L, and C Elements and the Impedance Concept

© 2007 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.

Lecture 26 Review Steady state sinusoidal response Phasor representation of sinusoids Phasor diagrams Phasor representation of circuit elements Related.

A Differentiator Circuit.  All of the diagrams use a uA741 op amp. ◦ You are to construct your circuits using an LM 356 op amp.  There is a statement.

Experiment 17 A Differentiator Circuit

Copyright © 2010 Pearson Education, Inc. Lecture Outline Chapter 24 Physics, 4 th Edition James S. Walker.

Kent Bertilsson Muhammad Amir Yousaf. DC and AC Circuit analysis  Circuit analysis is the process of finding the voltages across, and the currents through,

Sinusoidal Steady-state Analysis Complex number reviews Phasors and ordinary differential equations Complete response and sinusoidal steady-state response.

Complex Waveforms as Input Lecture 19 1 When complex waveforms are used as inputs to the circuit (for example, as a voltage source), then we (1) must Laplace.

RC Filters B. Furman 02SEP2014. Mechatronics Concept Map System to Control Sensor Signal Conditioning Controller (Hardware & Software) Power Interface.

Chapter 24 Alternating-Current Circuits. Units of Chapter 24 Alternating Voltages and Currents Capacitors in AC Circuits RC Circuits Inductors in AC Circuits.

Fall 2000EE201Phasors and Steady-State AC1 Phasors A concept of phasors, or rotating vectors, is used to find the AC steady-state response of linear circuits.

Lecture 16: Sinusoidal Sources and Phasors Nilsson , App. B ENG17 : Circuits I Spring May 21, 2015.

Signal Sources B. Furman 31JAN2013. Mechatronics Concept Map System to Control Sensor Signal Conditioning Controller (Hardware & Software) Power Interface.

Vadodara Institute of Engineering kotanbi Active learning Assignment on Single phase AC CIRCUIT SUBMITTED BY: 1) Bhatiya gaurang.(13ELEE558) 2)

ELECTRICAL CIRCUIT CONCEPTS

Unit 8 Phasors.

MatLAB Transfer Functions, Bode Plots, and Complex Numbers.

All materials are taken from “Fundamentals of electric circuits”

Lecture 03: AC RESPONSE ( REACTANCE N IMPEDANCE ).

1 TOPIC 4: FREQUENCY SELECTIVE CIRCUITS. 2 INTRODUCTION Transfer Function Frequency Selective Circuits.

ABE425 Engineering Measurement Systems Filters Dr. Tony E. Grift

Embedded Programming B. Furman 09MAY2011. Learning Objectives Distinguish between procedural programming and embedded programming Explain the Events and.

Simulated Inductance Experiment 25.

G(s) Input (sinusoid) Time Output Ti me InputOutput A linear, time-invariant single input and single output (SISO) system. The input to this system is.

Applied Circuit Analysis Chapter 12 Phasors and Impedance Copyright © 2013 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

COMPLEX NUMBERS and PHASORS. OBJECTIVES  Use a phasor to represent a sine wave.  Illustrate phase relationships of waveforms using phasors.  Explain.

Chapter 13 The Basic Elements and Phasors. Objectives Be able to add and subtract sinusoidal voltages or currents Use phasor format to add and subtract.

Chapter 10 RC Circuits.

1© Manhattan Press (H.K.) Ltd Series combination of resistors, capacitors and inductors Resistor and capacitor in series (RC circuit) Resistor and.

RC Circuits (sine wave)

EE301 Phasors, Complex Numbers, And Impedance. Learning Objectives Define a phasor and use phasors to represent sinusoidal voltages and currents Determine.

12.1 Introduction This chapter will cover alternating current.

Electrical impedance Electrical impedance, or simply impedance, describes a measure of opposition to alternating current (AC). Electrical impedance extends.

Lesson 12: Transfer Functions In The Laplace Domain

Ch4 Sinusoidal Steady State Analysis

COMPLEX NUMBERS and PHASORS

Capacitive AC Circuits

AC Circuits AC Current peak-to-peak and rms Capacitive Reactiance

Signals and Systems, 2/E by Simon Haykin and Barry Van Veen

TOPIC 3: FREQUENCY SELECTIVE CIRCUITS

Week 11 Force Response of a Sinusoidal Input and Phasor Concept

Experiment 2 * Part A: Intro to Transfer Functions and AC Sweeps

Filters: Intuitive Understanding

ME 190 Mechatronic Systems Design

Applied Electromagnetics EEE 161

Basic Electronics Review

PHYS 221 Recitation Kevin Ralphs Week 8.

ELEC 202 Circuit Analysis II

Fundamentals of Electric Circuits Chapter 14

Notes on Lab 1 – Intro to the Mechatronics Lab

2. 2 The V-I Relationship for a Resistor Let the current through the resistor be a sinusoidal given as Is also sinusoidal with amplitude amplitude.

Lecture Outline Chapter 24 Physics, 4th Edition James S. Walker

8.3 Frequency- Dependent Impedance

INC 111 Basic Circuit Analysis

Chapter 10 Analog Systems

Presentation transcript:

RC Filters B. Furman 09FEB2016

Mechatronics Concept Map User Interface ME 106 ME 120 Power Source Controller (Hardware & Software) ME 106 ME 190 ME 187 Power Interface ME 106 INTEGRATION Signal Conditioning ME 106 ME 120 Actuator ME 106 ME 154 ME 157 ME 195 Sensor ME 120 ME 297A System to Control ME 110 ME 136 ME 154 ME 157 ME 182 ME 189 ME 195 BJ Furman 15JAN11

How to Handle Noisy Signals? Filter! Inset from: http://cache.national.com/ds/LM/LM35.pdf

Impedance of a Capacitor Derive the impedance of a capacitor Physics for a capacitor C V(t) A time varying function Differentiate both sides Explain the concept of ‘impedance’ (in terms that a 6th grader could understand). Opposition to the flow of current. Impedance can be described as the relationship of voltage to current. For a resistor, its impedance is its resistance, R, since V/I = R. More charge, more voltage (pressure). Flash lamp driver. The impedance – the ratio of voltage to current What is s?

What is s? Previously Why? A time varying function A sinusoidal function, which can also be thought of as rotating vector

Complex Numbers and Vectors Think of a complex number as a vector Vectors have: Magnitude (length) Direction (angle) (imaginary axis) j b is of the form: q a Real axis Magnitude = Direction =

Sinusoidal Function Visualize the connection between the vector and the sinusoidal function of time Suppose the real component is plotted as a function of time http://upload.wikimedia.org/wikipedia/commons/8/89/Unfasor.gif

Generalized Voltage Divider What is Vo in terms of Vi, Z1, and Z2? Vi + Z2 Z1 Vo

RC Filters - 1 Frequency dependent voltage divider Impedance of a resistor, R Impedance of a capacitor, ZC R Vi + C Vo

RC Filters - 2 Transfer function Complex number Magnitude Vi C Vo Transfer function Complex number Magnitude (Magnitude of numerator)/(Magnitude of denominator) Angle (“phase angle”) (angle of num) – (angle of denom) How much the output is out of time synchronization with input

How does this come about?

RC Filters - 3 R Vi C Vo Behavior How does the magnitude and angle of the transfer function change with frequency? Ex. R=10k, C=1uF Filter ?

Bode Plots (the frequency response of the filter) Using a spreadsheet Magnitude vs. frequency Phase angle vs. frequency Hendrik Bode, 1938. Researcher at Bell Labs.

Bode Plots – Matlab/Octave Style

Mechatronics Concept Map User Interface ME 106 ME 120 Power Source Controller (Hardware & Software) ME 106 ME 190 ME 187 Power Interface ME 106 INTEGRATION Signal Conditioning ME 106 ME 120 Actuator ME 106 ME 154 ME 157 ME 195 Sensor ME 120 ME 297A System to Control ME 110 ME 136 ME 154 ME 157 ME 182 ME 189 ME 195 BJ Furman 26JAN06