Problem 9.36 Design an active lowpass filter with a gain of 4, a corner frequency of1khz,andagainroll-offrateof 60 db/decade.

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Problem 9.36 Design an active lowpass filter with a gain of 4, a corner frequency of1khz,andagainroll-offrateof 60 db/decade."

Transcription

1 Problem 9.36 Design an active lowpass filter with a gain of 4, a corner frequency of1khz,andagainroll-offrateof 60 db/decade. Solution: The roll-off rate of 60 db requires a three-stage LP filter, similar in design to that in Fig To secure positive gain, we need an additional fourth stage. Arbitrarily, we choose all resistors of the first three stages to be 10-kΩ resistors, and we realize the overall gain through the last stage. C f C f C f V s 40 kω V o Figure P9.36(a) The transfer function is given by H(ω) V ( o 1 4 V s 1 jω/ω c1 ) 3, with ω c1 1 R f C f. The problem states that the corner frequency of the overall filter, which we will call ω c3,shouldbe ω c3 2π f c 2π 10 3 rad/s. According to Exercise 9.14, Hence, ω c1 ω c and since R f, ω c3 0.51ω c1. 2π C f 1 R f ω c krad/s, 8.12 nf. The spectral response of the magnitude of H(ω) is shown in Fig. P9.36(b).

2 M (db) ω Figure P9.36(b)

3 Problem 9.37 Design an active highpass filter with a gain of 10, a corner frequency of 2 khz, and a gain roll-off rate of 40 db/decade. Solution: To secure a roll-off rate of 40 db/decade we need to use two stages of the circuit in Fig R f1 R f2 R C s s V s R s C s V o The two stages have the same input impedances (R s and C s ). We choose R f1 R s, R f2 100 kω. Consequently, The overall response is: with G 1 R f 1 R s 1, G 2 R f 2 R s 10. H(ω) V ( o jω/ωhp G 1 G 2 V s 1 jω/ω HP 2 jω/ωhp 10, 1 jω/ω HP ω HP 1 R s C s. The problem statement specifies a corner frequency f c 2kHzwithacorresponding angular frequency ω c given by ω c 2π f c 4π 10 3 rad/s. By definition, ω c is the angular frequency at which the magnitude of H(ω) is equal to of its maximum value. Thus, at ω ω c, jωc /ω 2 HP H(ω c ) 10 1 jω c /ω HP 7.07, which leads to with x ω c /ω HP. Solution of the above equation gives x 2 1 x x ) 2

4 Hence and ω HP 1 R s C s 1.55ω c π rad/s, C s 1 1 R s ω HP F 5.1 nf. AplotofM [db] is shown in Fig. P9.37(b) M (db) ω Figure P9.37(b)

5 Problem 9.38 The element values in the circuit of the second-order bandpass filter shown in Fig. P9.38 are: R f1 100 kω, R s1, R f2 100 kω, R s2, C f F, C s F. Generate a spectral plot for the magnitude of H(ω)V o /V s.determinethefrequencylocationsofthemaximum value of M [db] and its half-power points. C f1 Cf1 R f1 Rf1 R s1 R f2 Rs1 C Rf2 s2 Rs2 R C s2 s2 V s V o Figure P9.38: Circuit for Problem Solution: The overall transfer function is given by with H(ω) V out V s G 2 LPG 2 HP G LP R f 1 R s1 10, G HP R f 2 R s2 10, ( 1 1 jω/ω LP ) 2 ( jω/ωhp 1 jω/ω HP ω LP 1 1 R f1 C f krad/s, ω HP 1 1 R s2 C s krad/s Figure P9.38(a) displays the calculated plot of M [db]. ) 2, (1)

6 M (db) ω From the plot we determine that: Figure P9.38(b) ω krad/s ω 1 ( 3dB)94 krad/s, ω 2 ( 3dB)336 krad/s. (M(ω 0 ) db),

7 2. (a) The given system H( s ), has: 7 Zeros: f z 10 [ Hz], f 10 [ ] 1 z Hz Poles: f 10 [ Hz], f 10 [ Hz] p1 p2 The slopes are 20 db dec H(s) [db] *log H(s) H f [Hz] The actual values are calculated from the following formula H s ω ω ω ω 20 log 1 log 1 log 1 log π 10 4π 10 4π 10 4π f f f f 20 log 1 log 1 log 1 log Values can be determined by plugging the frequency into the above formula, e.g. (marked on actual plot below): H ( s j2π 1MHz) 20 log 1 log 1 log 1 log [ db] [ db] [ db] [ db] [ db]

8 Magnitude [db] vs. frequency [Hz]) Actual plot (b) H ( s j2π 10Hz) 3.01[ db] ( 2π 10 ) 39.91[ ] H s j KHz db ( 2π 10 ) 3.01[ ] H s j MHz db 3. (a) Notice that the given input impedance is real, therefore it either consists of resistors only, or resistors in addition to a combination of capacitors and inductors which cancel each other at the center frequency. 20KΩ R' Km R Km 20 1KΩ The center frequency is shifted, therefore 100KHz ω' K f ω K f 20 5KHz

9 The net scaling factors for the components of the circuit are as following R' Km R 20 R 1 1 C' C C Km K f 400 Km L' L L K f In order for the quality factor to remain the same we require ω0' ω0 2π 100KHz 2π 5KHz Q' Q B ' B B ' 500Hz B ' 10KHz ω ' 95 KHz, ω ' 105KHz c1 c2 These values may be applied to different circuits, e.g. the example shown on page 441 in the book or others band-pass filters. (b) Op-amp should be able to operate on high frequencies. Op-amp should be as ideal as possible (High input resistance, low output resistance, high gain). 4. The general form of a transfer function with two zeros and two poles H s ( z )( ) 1 z2 ( s sp )( s sp ) K s s s s 1 2 In the given problem we have the following Zeros: sz 0, s 3 1 z 2 Poles: s 1 4 j, s 1 4j Therefore H s p1 p2 ( ) K s 0 s 3 K s s 3 s 1 4j s 1 4j s 1 4j s 1 4j Applying the given assumption K s s lim H( s) 1 K 1 s s s H s s ( s 3) ( s ( 1 4j) )( s ( 1 4j) ) ( )

30. Bode Plots. Introduction

30. Bode Plots. Introduction 0. Bode Plots Introduction Each of the circuits in this problem set is represented by a magnitude Bode plot. The network function provides a connection between the Bode plot and the circuit. To solve these

More information

ω = 1/R 1 C 1, which is called the 3dB cut off frequency.

ω = 1/R 1 C 1, which is called the 3dB cut off frequency. Lab 2 Linear Networks and Modular Construction Networks which contain only inductor, capacitors and resistors are called linear networks This means that if A and B are two sine wave inputs then the output

More information

FREQUENCY RESPONSE AND PASSIVE FILTERS LABORATORY. We start with examples of a few filter circuits to illustrate the concept.

FREQUENCY RESPONSE AND PASSIVE FILTERS LABORATORY. We start with examples of a few filter circuits to illustrate the concept. FREQUENCY RESPONSE AND PASSIVE FILTERS LABORATORY In this experiment we will analytically determine and measure the frequency response of networks containing resistors, AC source/sources, and energy storage

More information

Chapter 21 Band-Pass Filters and Resonance

Chapter 21 Band-Pass Filters and Resonance Chapter 21 Band-Pass Filters and Resonance In Chapter 20, we discussed low-pass and high-pass filters. The simplest such filters use RC components resistors and capacitors. It is also possible to use resistors

More information

Analogue Filter Design

Analogue Filter Design Analogue Filter Design Module: SEA Signals and Telecoms Lecturer: URL: http://www.personal.rdg.ac.uk/~stsgrimb/ email: j.b.grimbleby reading.ac.uk Number of Lectures: 5 Reference text: Design with Operational

More information

Chapter 5. Basic Filters

Chapter 5. Basic Filters Chapter 5 Basic Filters 39 CHAPTER 5. BASIC FILTERS 5.1 Pre-Lab The answers to the following questions are due at the beginning of the lab. If they are not done at the beginning of the lab, no points will

More information

EXPERIMENT 6 - ACTIVE FILTERS

EXPERIMENT 6 - ACTIVE FILTERS 1.THEORY HACETTEPE UNIVERSITY DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING ELE-313 ELECTRONICS LABORATORY II EXPERIMENT 6 - ACTIVE FILTERS A filter is a circuit that has designed to pass a specified

More information

8.4 Advanced RC Filters

8.4 Advanced RC Filters 8.4 Advanced Filters high pass filter including gain and Bode plots cascaded low pass filters band pass filters band rejection filter - the twin-t impedance matching problems an ideal operational amplifier

More information

ESE319 Introduction to Microelectronics Single-Amplifier-Biquad (SAB) Filter Sections

ESE319 Introduction to Microelectronics Single-Amplifier-Biquad (SAB) Filter Sections Single-Amplifier-Biquad (SAB) Filter Sections Sallen-Key Lowpass Section Analysis K R f R i Multiplying by R V j V p V j scr V j V o V j V p V i V p V j scrv p 0 and V o K V p Write 2 node equations V

More information

Objectives: to get acquainted with active filter circuits and parameters, design methods, build and investigate active LPF, HPF and BPF.

Objectives: to get acquainted with active filter circuits and parameters, design methods, build and investigate active LPF, HPF and BPF. Laboratory of the circuits and signals Laboratory work No. 4 ACTIVE FILTERS Objectives: to get acquainted with active filter circuits and parameters, design methods, build and investigate active LPF, HPF

More information

Part I: Operational Amplifiers & Their Applications

Part I: Operational Amplifiers & Their Applications Part I: Operational Amplifiers & Their Applications Contents Opamps fundamentals Opamp Circuits Inverting & Non-inverting Amplifiers Summing & Difference Amplifiers Integrators & Differentiators Opamp

More information

First and Second Order Filters

First and Second Order Filters First and Second Order Filters These functions are useful for the design of simple filters or they can be cascaded to form high-order filter functions First Order Filters General first order bilinear transfer

More information

LAB #1: TIME AND FREQUENCY RESPONSES OF SERIES RLC CIRCUITS Updated July 19, 2003

LAB #1: TIME AND FREQUENCY RESPONSES OF SERIES RLC CIRCUITS Updated July 19, 2003 SFSU - ENGR 3 ELECTRONICS LAB LAB #: TIME AND FREQUENCY RESPONSES OF SERIES RLC CIRCUITS Updated July 9, 3 Objective: To investigate the step, impulse, and frequency responses of series RLC circuits. To

More information

ECE215 Lecture 16 Date:

ECE215 Lecture 16 Date: Lecture 16 Date: 20.10.2016 Bode Plot (contd.) Series and Parallel Resonance Example 1 Find the transfer function H(ω) with this Bode magnitude plot Example 2 Find the transfer function H(ω) with this

More information

Lab 4 Op Amp Filters

Lab 4 Op Amp Filters Lab 4 Op Amp Filters Figure 4.0. Frequency Characteristics of a BandPass Filter Adding a few capacitors and resistors to the basic operational amplifier (op amp) circuit can yield many interesting analog

More information

Module 2: Op Amps Introduction and Ideal Behavior

Module 2: Op Amps Introduction and Ideal Behavior Module 2: Op Amps Introduction and Ideal Behavior Dr. Bonnie H. Ferri Professor and Associate Chair School of Electrical and Computer Engineering Introduce Op Amps and examine ideal behavior School of

More information

LAB 12: ACTIVE FILTERS

LAB 12: ACTIVE FILTERS A. INTRODUCTION LAB 12: ACTIVE FILTERS After last week s encounter with op- amps we will use them to build active filters. B. ABOUT FILTERS An electric filter is a frequency-selecting circuit designed

More information

Practice Problems - Chapter 33 Alternating Current Circuits

Practice Problems - Chapter 33 Alternating Current Circuits Multiple Choice Practice Problems - Chapter 33 Alternating Current Circuits 4. A high-voltage powerline operates at 500 000 V-rms and carries an rms current of 500 A. If the resistance of the cable is

More information

Laboratory #5: RF Filter Design

Laboratory #5: RF Filter Design EEE 194 RF Laboratory Exercise 5 1 Laboratory #5: RF Filter Design I. OBJECTIVES A. Design a third order low-pass Chebyshev filter with a cutoff frequency of 330 MHz and 3 db ripple with equal terminations

More information

EE 311: Electrical Engineering Junior Lab Active Filter Design (Sallen-Key Filter)

EE 311: Electrical Engineering Junior Lab Active Filter Design (Sallen-Key Filter) EE 311: Electrical Engineering Junior Lab Active Filter Design (Sallen-Key Filter) Objective The purpose of this experiment is to design a set of second-order Sallen-Key active filters and to investigate

More information

Filter Design Introduction

Filter Design Introduction FLORIDA INTERNATIONAL UNIVERSITY Filter Design Introduction Utilizing CAD Tools Christian D. Archilla, B.S.C.E., Research Associate, VLSI Assistant Lab Manager June 2008 Table of Contents 1. Introduction...

More information

Bharathwaj Muthuswamy EE100 Active Filters

Bharathwaj Muthuswamy EE100 Active Filters Bharathwaj Muthuswamy EE100 mbharat@cory.eecs.berkeley.edu 1. Introduction Active Filters In this chapter, we will deal with active filter circuits. Why even bother with active filters? Answer: Audio.

More information

Chapter 13. RLC Circuits and Resonance. Objectives

Chapter 13. RLC Circuits and Resonance. Objectives Chapter 13 RLC Circuits and Resonance Objectives Determine the impedance of a series RLC circuit Analyze series RLC circuits Analyze a circuit for series resonance Analyze series resonant filters Analyze

More information

Chapter 15. Active Filter Circuits

Chapter 15. Active Filter Circuits hapter 5 Active Filter ircuits 5.0 Introduction Filter is circuit that capable of passing signal from input to put that has frequency within a specified band and attenuating all others side the band. This

More information

Frequency Response of Filters

Frequency Response of Filters School of Engineering Department of Electrical and Computer Engineering 332:224 Principles of Electrical Engineering II Laboratory Experiment 2 Frequency Response of Filters 1 Introduction Objectives To

More information

Designing Stable Compensation Networks for Single Phase Voltage Mode Buck Regulators

Designing Stable Compensation Networks for Single Phase Voltage Mode Buck Regulators Designing Stable Compensation Networks for Single Phase Voltage Mode Buck Regulators Technical Brief December 3 TB47. Author: Doug Mattingly Assumptions This Technical Brief makes the following assumptions:.

More information

FILTER CIRCUITS. A filter is a circuit whose transfer function, that is the ratio of its output to its input, depends upon frequency.

FILTER CIRCUITS. A filter is a circuit whose transfer function, that is the ratio of its output to its input, depends upon frequency. FILTER CIRCUITS Introduction Circuits with a response that depends upon the frequency of the input voltage are known as filters. Filter circuits can be used to perform a number of important functions in

More information

R f. V i. ET 438a Automatic Control Systems Technology Laboratory 4 Practical Differentiator Response

R f. V i. ET 438a Automatic Control Systems Technology Laboratory 4 Practical Differentiator Response ET 438a Automatic Control Systems Technology Laboratory 4 Practical Differentiator Response Objective: Design a practical differentiator circuit using common OP AMP circuits. Test the frequency response

More information

Lab 8: Basic Filters: Low- Pass and High Pass

Lab 8: Basic Filters: Low- Pass and High Pass Lab 8: Basic Filters: Low- Pass and High Pass Names: 1.) 2.) 3.) Objectives: 1. Show students how circuits can have frequency- dependent resistance, and that many everyday signals are made up of many frequencies.

More information

DC Circuits: Operational Amplifiers Hasan Demirel

DC Circuits: Operational Amplifiers Hasan Demirel DC Circuits: Operational Amplifiers Hasan Demirel Op Amps: Introduction Op Amp is short form of operational amplifier. An op amp is an electronic unit that behaves like a voltage controlled voltage source.

More information

University of Rochester Department of Electrical and Computer Engineering ECE113 Lab. #7 Higher-order filter & amplifier designs March, 2012

University of Rochester Department of Electrical and Computer Engineering ECE113 Lab. #7 Higher-order filter & amplifier designs March, 2012 University of Rochester Department of Electrical and Computer Engineering ECE113 Lab. #7 Higherorder filter & amplifier designs March, 2012 Writeups, due one week after the lab is performed, should provide

More information

Operational Amplifiers

Operational Amplifiers Operational Amplifiers Aims: To know: Basic Op Amp properties eal & Ideal Basic ideas of feedback. inv input noninv input output gnd To be able to do basic circuit analysis of op amps: using KCL, KL with

More information

Electronic Components. Electronics. Resistors and Basic Circuit Laws. Basic Circuits. Basic Circuit. Voltage Dividers

Electronic Components. Electronics. Resistors and Basic Circuit Laws. Basic Circuits. Basic Circuit. Voltage Dividers Electronics most instruments work on either analog or digital signals we will discuss circuit basics parallel and series circuits voltage dividers filters high-pass, low-pass, band-pass filters the main

More information

Electrical Circuits (2)

Electrical Circuits (2) Electrical Circuits () Lecture 4 Parallel Resonance and its Filters Dr.Eng. Basem ElHalawany Parallel Resonance Circuit Ideal Circuits It is usually called tank circuit Practical Circuits Complex Coniguration

More information

Filters and Waveform Shaping

Filters and Waveform Shaping Physics 333 Experiment #3 Fall 211 Filters and Waveform Shaping Purpose The aim of this experiment is to study the frequency filtering properties of passive (R, C, and L) circuits for sine waves, and the

More information

2.161 Signal Processing: Continuous and Discrete Fall 2008

2.161 Signal Processing: Continuous and Discrete Fall 2008 MT OpenCourseWare http://ocw.mit.edu.6 Signal Processing: Continuous and Discrete Fall 00 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. MASSACHUSETTS

More information

Sophomore Physics Laboratory (PH005/105)

Sophomore Physics Laboratory (PH005/105) CALIFORNIA INSTITUTE OF TECHNOLOGY PHYSICS MATHEMATICS AND ASTRONOMY DIVISION Sophomore Physics Laboratory (PH5/15) Analog Electronics Active Filters Copyright c Virgínio de Oliveira Sannibale, 23 (Revision

More information

Operational Amplifiers - Configurations and Characteristics

Operational Amplifiers - Configurations and Characteristics Operational Amplifiers - Configurations and Characteristics What is an Op Amp An Op Amp is an integrated circuit that can be used to amplify both DC and AC signals. One of the most common Op Amps available

More information

Physics 9 Fall 2009 Homework 9 - Solutions

Physics 9 Fall 2009 Homework 9 - Solutions . Chapter 36 - Exercise 5. Physics 9 Fall 2009 Homework 9 - s What are V R and V C if the emf frequency in the figure is 0 khz? The voltage are V R = IR, and V C = IX C, where the capitative reactance

More information

Bode Diagrams of Transfer Functions and Impedances ECEN 2260 Supplementary Notes R. W. Erickson

Bode Diagrams of Transfer Functions and Impedances ECEN 2260 Supplementary Notes R. W. Erickson Bode Diagrams of Transfer Functions and Impedances ECEN 2260 Supplementary Notes. W. Erickson In the design of a signal processing network, control system, or other analog system, it is usually necessary

More information

E4215: Analog Filter Synthesis and Design Frequency Transformation

E4215: Analog Filter Synthesis and Design Frequency Transformation E415: Analog Filter ynthesis and Design Frequency Transformation Nagendra Krishnapura (nkrishnapura@mltc.com) 4 Mar. 003 = Σ + jω s = σ + jω mk=1 (1 Z k Prototype frequency variable Transformed frequency

More information

CHAPTER 7 FILTERS, LOADING AND OP-AMPS

CHAPTER 7 FILTERS, LOADING AND OP-AMPS CHAPTE 7 FILTES, LOADING AND OP-AMPS INTODUCTION Sometimes we make measurements and what is measured is a combination of what we wished to measure and noise. This noise could be caused by the electronic

More information

IIR Filter design (cf. Shenoi, 2006)

IIR Filter design (cf. Shenoi, 2006) IIR Filter design (cf. Shenoi, 2006) The transfer function of the IIR filter is given by Its frequency responses are (where w is the normalized frequency ranging in [ π, π]. When a and b are real, the

More information

Lab 8: Basic Filters: Low- Pass and High Pass

Lab 8: Basic Filters: Low- Pass and High Pass Lab 8: Basic Filters: Low- Pass and High Pass Names: 1.) 2.) 3.) Beginning Challenge: Build the following circuit. Charge the capacitor by itself, and then discharge it through the inductor. Measure the

More information

Chapter 13. RLC Circuits and Resonance

Chapter 13. RLC Circuits and Resonance Chapter 13 RLC Circuits and Resonance Impedance of Series RLC Circuits A series RLC circuit contains both inductance and capacitance Since X L and X C have opposite effects on the circuit phase angle,

More information

Amplifier Frequency Response

Amplifier Frequency Response Amplifier Frequency Response Objective Active devices (in particular) change state in response to terminal stimuli via an internal charge rearrangement. Since charge transport is not instantaneous the

More information

Making Accurate Voltage Noise and Current Noise Measurements on Operational Amplifiers Down to 0.1Hz

Making Accurate Voltage Noise and Current Noise Measurements on Operational Amplifiers Down to 0.1Hz Author: Don LaFontaine Making Accurate Voltage Noise and Current Noise Measurements on Operational Amplifiers Down to 0.1Hz Abstract Making accurate voltage and current noise measurements on op amps in

More information

5-Band Graphic Equalizer

5-Band Graphic Equalizer EE 410 Final Linear Electronic Design Spring 2008 5-Band Graphic Equalizer Dylan Gaffney Owen Gaffney Justin Spagnuolo Joe Tearpock Kevin Brown 2 INTRODUCTION The design project being discussed in this

More information

Chapt ha e pt r e r 12 RL Circuits

Chapt ha e pt r e r 12 RL Circuits Chapter 12 RL Circuits Sinusoidal Response of RL Circuits The inductor voltage leads the source voltage Inductance causes a phase shift between voltage and current that depends on the relative values of

More information

Ver 3537 E1.1 Analysis of Circuits (2014) E1.1 Circuit Analysis. Problem Sheet 1 (Lectures 1 & 2)

Ver 3537 E1.1 Analysis of Circuits (2014) E1.1 Circuit Analysis. Problem Sheet 1 (Lectures 1 & 2) Ver 3537 E. Analysis of Circuits () Key: [A]= easy... [E]=hard E. Circuit Analysis Problem Sheet (Lectures & ). [A] One of the following circuits is a series circuit and the other is a parallel circuit.

More information

Practical Analog Filters Overview Types of practical filters Filter specifications Tradeoffs Many examples

Practical Analog Filters Overview Types of practical filters Filter specifications Tradeoffs Many examples Practical Analog Filters Overview Types of practical filters Filter specifications Tradeoffs Many examples J. McNames Portland State University ECE 222 Practical Analog Filters Ver. 1.4 1 Ideal Filters

More information

NAPIER University School of Engineering. Electronic Systems Module : SE32102 Analogue Filters Design And Simulation. 4 th order Butterworth response

NAPIER University School of Engineering. Electronic Systems Module : SE32102 Analogue Filters Design And Simulation. 4 th order Butterworth response NAPIER University School of Engineering Electronic Systems Module : SE32102 Analogue Filters Design And Simulation. 4 th order Butterworth response In R1 R2 C2 C1 + Opamp A - R1 R2 C2 C1 + Opamp B - Out

More information

Lecture 9. OpAmp Frequency Response. ECEL 301 ECE Laboratory I Dr. Adam Fontecchio. Read textbook pages

Lecture 9. OpAmp Frequency Response. ECEL 301 ECE Laboratory I Dr. Adam Fontecchio. Read textbook pages Lecture 9. OpAmp Frequency Response ECEL 301 ECE Laboratory I Dr. Adam Fontecchio Pre-Lab Prep Read textbook pages 246-249 Bring text to lab Code for Example 6.2 can be downloaded from course web site

More information

Lab #9: AC Steady State Analysis

Lab #9: AC Steady State Analysis Theory & Introduction Lab #9: AC Steady State Analysis Goals for Lab #9 The main goal for lab 9 is to make the students familar with AC steady state analysis, db scale and the NI ELVIS frequency analyzer.

More information

Integrator Based Filters

Integrator Based Filters Integrator Based Filters Main building block for this category of filters integrator By using signal flowgraph techniques conventional filter topologies can be converted to integrator based type filters

More information

In modern electronics, it is important to be able to separate a signal into different

In modern electronics, it is important to be able to separate a signal into different Introduction In modern electronics, it is important to be able to separate a signal into different frequency regions. In analog electronics, four classes of filters exist to process an input signal: low-pass,

More information

RLC Resonant Circuits

RLC Resonant Circuits C esonant Circuits Andrew McHutchon April 20, 203 Capacitors and Inductors There is a lot of inconsistency when it comes to dealing with reactances of complex components. The format followed in this document

More information

Active filters. Resources and methods for learning about these subjects (list a few here, in preparation for your research):

Active filters. Resources and methods for learning about these subjects (list a few here, in preparation for your research): Active filters This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,

More information

UAF42 As a Low-pass Active Filter

UAF42 As a Low-pass Active Filter UAF As a Lowpass Active Filter Many times, instrumentation of electromechanical systems, which utilize modern switching type power electronics, produces signals with unacceptable noise levels or high frequency

More information

Chapter 12. RL Circuits. Objectives

Chapter 12. RL Circuits. Objectives Chapter 12 RL Circuits Objectives Describe the relationship between current and voltage in an RL circuit Determine impedance and phase angle in a series RL circuit Analyze a series RL circuit Determine

More information

Op Amp Circuits. Inverting and Non-inverting Amplifiers, Integrator, Differentiator

Op Amp Circuits. Inverting and Non-inverting Amplifiers, Integrator, Differentiator M.B. Patil, IIT Bombay 1 Op Amp ircuits Inverting and Non-inverting Amplifiers, Integrator, Differentiator Introduction An Operational Amplifier (Op Amp) is a versatile building block used in a variety

More information

EE133 Winter 2002 Cookbook Filter Guide Welcome to the Cookbook Filter Guide!

EE133 Winter 2002 Cookbook Filter Guide Welcome to the Cookbook Filter Guide! Welcome to the! Don t have enough time to spice out that perfect filter before Aunt Thelma comes down for dinner? Well this handout is for you! The following pages detail a fast set of steps towards the

More information

AN-837 APPLICATION NOTE

AN-837 APPLICATION NOTE APPLICATION NOTE One Technology Way P.O. Box 916 Norwood, MA 262-916, U.S.A. Tel: 781.329.47 Fax: 781.461.3113 www.analog.com DDS-Based Clock Jitter Performance vs. DAC Reconstruction Filter Performance

More information

Designing Active High Speed Filters

Designing Active High Speed Filters Designing Active High Speed Filters Filters built from resistors (R), inductors (L) and capacitors (C) are known as RLC or passive filters and are the dominant type of filter for high frequency applications.

More information

Resonance. Objectives

Resonance. Objectives Resonance Objectives Determine the impedance of a series RLC circuit Analyze series RLC circuits Analyze a circuit for series resonance Analyze series resonant filters Analyze parallel RLC circuits Analyze

More information

Frequency response. Chapter 1. 1.1 Introduction

Frequency response. Chapter 1. 1.1 Introduction Chapter Frequency response. Introduction The frequency response of a system is a frequency dependent function which expresses how a sinusoidal signal of a given frequency on the system input is transferred

More information

The Effect of Signal-to-Noise margins on the performance of ADSL

The Effect of Signal-to-Noise margins on the performance of ADSL The Effect of Signal-to-Noise margins on the performance of ADSL J.H. van Wyk and L.P. Linde Abstract There is renewed interest in existing copper networks since the introduction of Asymmetric Digital

More information

LC Resonant Circuits Dr. Roger King June Introduction

LC Resonant Circuits Dr. Roger King June Introduction LC Resonant Circuits Dr. Roger King June 01 Introduction Second-order systems are important in a wide range of applications including transformerless impedance-matching networks, frequency-selective networks,

More information

AZ i Z s + Z i. [V s +(V ts + V n + I n Z s )] (1)

AZ i Z s + Z i. [V s +(V ts + V n + I n Z s )] (1) Euivalent Noise Input Voltage Figure shows the amplifier noise model with a Thévenin input source, where V s is the source voltage, Z s = s + jx s isthesourceimpedance,v ts is the thermal noise voltage

More information

Chapter 4: Passive Analog Signal Processing

Chapter 4: Passive Analog Signal Processing hapter 4: Passive Analog Signal Processing In this chapter we introduce filters and signal transmission theory. Filters are essential components of most analog circuits and are used to remove unwanted

More information

Experiment 3 ~ Ohm's Law, Measurement of Voltage, Current and Resistance

Experiment 3 ~ Ohm's Law, Measurement of Voltage, Current and Resistance Experiment 3 ~ Ohm's Law, Measurement of Voltage, Current and Resistance Objective: In this experiment you will learn to use the multi-meter to measure voltage, current and resistance. Equipment: Bread

More information

Active Filter Circuits

Active Filter Circuits EE3070 Z. Aliyaziioglu Eletrial and omputer Engineering Department al Poly Pomona Introdution Filter iruits with L are passive filter iruit Use op amp to have ative filter iruit Ative filter an produe

More information

AM Modulator. Experiment theory: Experiment # (3) Islamic University of Gaza Faculty of Engineering Electrical Department

AM Modulator. Experiment theory: Experiment # (3) Islamic University of Gaza Faculty of Engineering Electrical Department Islamic University of Gaza Faculty of Engineering Electrical Department Experiment # (3) AM Modulator Communications Engineering I (Lab.) Prepared by: Eng. Omar A. Qarmout Eng. Mohammed K. Abu Foul Experiment

More information

Homework Assignment 06

Homework Assignment 06 Question 1 (2 points each unless noted otherwise) Homework Assignment 06 1. Typically, the C-E saturation voltage for a BJT, namely V CE(sat), is in the range of (circle one) Answer: (a) (a) 0.2 1.0 V

More information

Analog Filter Design Demystified

Analog Filter Design Demystified FILTER CIRCUITS (ANALOG) VIDEO CIRCUITS Dec 03, 2002 Analog Filter Design Demystified This article shows the reader how to design analog filters. It starts by covering the fundamentals of filters, it then

More information

Chapter 12. RL Circuits ISU EE. C.Y. Lee

Chapter 12. RL Circuits ISU EE. C.Y. Lee Chapter 12 RL Circuits Objectives Describe the relationship between current and voltage in an RL circuit Determine impedance and phase angle in a series RL circuit Analyze a series RL circuit Determine

More information

ε: Voltage output of Signal Generator (also called the Source voltage or Applied

ε: Voltage output of Signal Generator (also called the Source voltage or Applied Experiment #10: LR & RC Circuits Frequency Response EQUIPMENT NEEDED Science Workshop Interface Power Amplifier (2) Voltage Sensor graph paper (optional) (3) Patch Cords Decade resistor, capacitor, and

More information

Lab 4 Band Pass and Band Reject Filters

Lab 4 Band Pass and Band Reject Filters Lab 4 Band Pass and Band Reject Filters Introduction During this lab you will design and build three filters. First you will build a broad-band band-pass filter by cascading the high-pass and low-pass

More information

Characterizing Resonant Series RLC Circuits : Two Challenging Experiments Using Either LabView. Software of National Instruments or VEE of Hewlett

Characterizing Resonant Series RLC Circuits : Two Challenging Experiments Using Either LabView. Software of National Instruments or VEE of Hewlett Characterizing Resonant Series RLC Circuits : Two Challenging Experiments Using Either LabView Software of National Instruments or VEE of Hewlett Packard Software for Data Acquisition Via the GPIB Bus

More information

PIEZO FILM LAB AMPLIFIER

PIEZO FILM LAB AMPLIFIER SPECIFICATIONS Charge or Voltage Mode Operation BNC Input and Output 0.01 to 1000 mv/pc Sensitivity Range in Charge Mode 1M to 1G Input Resistance, -40 to 40dB Gain in Voltage Mode Multi-Pole, Low-Pass

More information

EE320L Electronics I. Laboratory. Laboratory Exercise #10. Frequency Response of BJT Amplifiers. Angsuman Roy

EE320L Electronics I. Laboratory. Laboratory Exercise #10. Frequency Response of BJT Amplifiers. Angsuman Roy EE320L Electronics I Laboratory Laboratory Exercise #10 Frequency Response of BJT Amplifiers By Angsuman Roy Department of Electrical and Computer Engineering University of Nevada, Las Vegas Objective:

More information

Q Measurement with the AIM4170 revised

Q Measurement with the AIM4170 revised Q Measurement with the AIM4170 revised 7-22-08 Summary: The AIM4170 can be used to determine the Q of coils and of tuned circuits. A function is included in the program to measure the Q of series and parallel

More information

Reading: HH Sections 4.11 4.13, 4.19 4.20 (pgs. 189-212, 222 224)

Reading: HH Sections 4.11 4.13, 4.19 4.20 (pgs. 189-212, 222 224) 6 OP AMPS II 6 Op Amps II In the previous lab, you explored several applications of op amps. In this exercise, you will look at some of their limitations. You will also examine the op amp integrator and

More information

USING THE ANALOG DEVICES ACTIVE FILTER DESIGN TOOL

USING THE ANALOG DEVICES ACTIVE FILTER DESIGN TOOL USING THE ANALOG DEVICES ACTIVE FILTER DESIGN TOOL INTRODUCTION The Analog Devices Active Filter Design Tool is designed to aid the engineer in designing all-pole active filters. The filter design process

More information

Resonant and cut-off frequencies Tuned network quality, bandwidth, and power levels Quality factor

Resonant and cut-off frequencies Tuned network quality, bandwidth, and power levels Quality factor Chapter 20 Resonant and cut-off frequencies Tuned network quality, bandwidth, and power levels Quality factor ECET 207 AC Circuit Analysis, PNC 2 1 20.1-20.7 A condition established by the application

More information

CIRCUITS LABORATORY EXPERIMENT 3. AC Circuit Analysis

CIRCUITS LABORATORY EXPERIMENT 3. AC Circuit Analysis CIRCUITS LABORATORY EXPERIMENT 3 AC Circuit Analysis 3.1 Introduction The steady-state behavior of circuits energized by sinusoidal sources is an important area of study for several reasons. First, the

More information

Selected Filter Circuits Dr. Lynn Fuller

Selected Filter Circuits Dr. Lynn Fuller ROCHESTER INSTITUTE OF TECHNOLOGY MICROELECTRONIC ENGINEERING Selected Filter Circuits Dr. Lynn Fuller Webpage: http://people.rit.edu/lffeee 82 Lomb Memorial Drive Rochester, NY 146235604 Tel (585) 4752035

More information

ESE 216 LTSpice Quick Guide

ESE 216 LTSpice Quick Guide ESE 216 LTSpice Quick Guide Install the LTSpice from the webpage http://www.linear.com/ltspice and install it on your PC. It is free simulation software which has the SPICE simulator core and has many

More information

ENGR 210 Lab 11 Frequency Response of Passive RC Filters

ENGR 210 Lab 11 Frequency Response of Passive RC Filters ENGR 210 Lab 11 Response of Passive RC Filters The objective of this lab is to introduce you to the frequency-dependent nature of the impedance of a capacitor and the impact of that frequency dependence

More information

Application Report SLOA024B

Application Report SLOA024B Application Report July 999 Revised September 2002 Mixed Signal Products SLOA024B IMPORTANT NOTICE Texas Instruments Incorporated and its subsidiaries (TI) reserve the right to make corrections, modifications,

More information

4. Experiment D1: Operational Amplifier

4. Experiment D1: Operational Amplifier 4. Experiment D1: Operational Amplifier 4.1. Aim The aim of this experiment is to investigate some properties of real op-amps which are not present in `ideal' op-amps, but which affect practical op-amp

More information

Diploma in Applied Electronics

Diploma in Applied Electronics DUBLIN INSTITUTE OF TECHNOLOGY KEVIN STREET, DUBLIN 8 Diploma in Applied Electronics YEAR II SUMMER EXAMINATIONS 1999 ELECTRIC CIRCUITS MR. P. Tobin MR. C. Bruce DATE Attempt FIVE questions with a maximum

More information

Operational amplifiers

Operational amplifiers Operational amplifiers Types of operational amplifiers (bioelectric amplifiers have different gain values) Low-gain amplifiers (x1 to x10) Used for buffering and impedance transformation between signal

More information

Frequency Domain Analysis

Frequency Domain Analysis Exercise 4. Frequency Domain Analysis Required knowledge Fourier-series and Fourier-transform. Measurement and interpretation of transfer function of linear systems. Calculation of transfer function of

More information

Low Frequency Active Tuned Oscillator Using Simulated Inductor

Low Frequency Active Tuned Oscillator Using Simulated Inductor Research Journal of Applied Sciences, Engineering and Technology 6(7): 1171-1177, 2013 ISSN: 2040-7459; e-issn: 2040-7467 Maxwell Scientific Organization, 2013 Submitted: July 13, 2012 Accepted: September

More information

Electromagnetic Induction

Electromagnetic Induction Electromagnetic Induction "Concepts without factual content are empty; sense data without concepts are blind... The understanding cannot see. The senses cannot think. By their union only can knowledge

More information

What you will do. Build a 3-band equalizer. Connect to a music source (mp3 player) Low pass filter High pass filter Band pass filter

What you will do. Build a 3-band equalizer. Connect to a music source (mp3 player) Low pass filter High pass filter Band pass filter Audio Filters What you will do Build a 3-band equalizer Low pass filter High pass filter Band pass filter Connect to a music source (mp3 player) Adjust the strength of low, high, and middle frequencies

More information

Chapter 16. Active Filter Design Techniques. Excerpted from Op Amps for Everyone. Literature Number SLOA088. Literature Number: SLOD006A

Chapter 16. Active Filter Design Techniques. Excerpted from Op Amps for Everyone. Literature Number SLOA088. Literature Number: SLOD006A hapter 16 Active Filter Design Techniques Literature Number SLOA088 Excerpted from Op Amps for Everyone Literature Number: SLOD006A hapter 16 Active Filter Design Techniques Thomas Kugelstadt 16.1 Introduction

More information

RESONANCE AND FILTERS

RESONANCE AND FILTERS 1422-1 RESONANCE AND FILTERS Experiment 1, Resonant Frequency and Circuit Impedance For more courses visit www.cie-wc.edu OBJECTIVES 1. To verify experimentally our theoretical predictions concerning the

More information

UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE. Department of Electrical and Computer Engineering

UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE. Department of Electrical and Computer Engineering UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE Department of Electrical and Computer Engineering Experiment No. 9 - Resonance in Series and parallel RLC Networks Overview: An important consideration in the

More information