Bapatla Engineering College Electronic Circuits -1Lab (Ec261)
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Constant K High Pass Filter
Constant k High Pass Filter Presentation by: S.KARTHIE Assistant Professor/ECE SSN College of Engineering Objective At the end of this section students will be able to understand, • What is a constant k high pass filter section • Characteristic impedance, attenuation and phase constant of high pass filters. • Design equations of high pass filters. High Pass Ladder Networks • A high-pass network arranged as a ladder is shown below. • As mentioned earlier, the repetitive network may be considered as a number of T or ∏ sections in cascade . C C C CC LL L L High Pass Ladder Networks • A T section may be taken from the ladder by removing ABED, producing the high-pass filter section as shown below. AB C CC 2C 2C 2C 2C LL L L D E High Pass Ladder Networks • Similarly, a ∏ section may be taken from the ladder by removing FGHI, producing the high- pass filter section as shown below. F G CCC 2L 2L 2L 2L I H Constant- K High Pass Filter • Constant k HPF is obtained by interchanging Z 1 and Z 2. 1 Z1 === & Z 2 === jωωωL jωωωC L 2 • Also, Z 1 Z 2 === === R k is satisfied. C Constant- K High Pass Filter • The HPF filter sections are 2C 2C C L 2L 2L Constant- K High Pass Filter Reactance curve X Z2 fC f Z1 Z1= -4Z 2 Stopband Passband Constant- K High Pass Filter • The cutoff frequency is 1 fC === 4πππ LC • The characteristic impedance of T and ∏ high pass filters sections are R k 2 Oπππ fC Z === ZOT === R k 1 −−− f 2 f 2 1 −−− C f 2 Constant- K High Pass Filter Characteristic impedance curves ZO ZOπ Nominal R k Impedance ZOT fC Frequency Stopband Passband Constant- K High Pass Filter • The attenuation and phase constants are fC fC ααα === 2cosh −−−1 βββ === −−− 2sin −−−1 f f f C f f ααα −−−πππ f C f βββ f Constant- K High Pass Filter Design equations • The expression for Inductance and Capacitance is obtained using cutoff frequency. -
Classic Filters There Are 4 Classic Analogue Filter Types: Butterworth, Chebyshev, Elliptic and Bessel. There Is No Ideal Filter
Classic Filters There are 4 classic analogue filter types: Butterworth, Chebyshev, Elliptic and Bessel. There is no ideal filter; each filter is good in some areas but poor in others. • Butterworth: Flattest pass-band but a poor roll-off rate. • Chebyshev: Some pass-band ripple but a better (steeper) roll-off rate. • Elliptic: Some pass- and stop-band ripple but with the steepest roll-off rate. • Bessel: Worst roll-off rate of all four filters but the best phase response. Filters with a poor phase response will react poorly to a change in signal level. Butterworth The first, and probably best-known filter approximation is the Butterworth or maximally-flat response. It exhibits a nearly flat passband with no ripple. The rolloff is smooth and monotonic, with a low-pass or high- pass rolloff rate of 20 dB/decade (6 dB/octave) for every pole. Thus, a 5th-order Butterworth low-pass filter would have an attenuation rate of 100 dB for every factor of ten increase in frequency beyond the cutoff frequency. It has a reasonably good phase response. Figure 1 Butterworth Filter Chebyshev The Chebyshev response is a mathematical strategy for achieving a faster roll-off by allowing ripple in the frequency response. As the ripple increases (bad), the roll-off becomes sharper (good). The Chebyshev response is an optimal trade-off between these two parameters. Chebyshev filters where the ripple is only allowed in the passband are called type 1 filters. Chebyshev filters that have ripple only in the stopband are called type 2 filters , but are are seldom used. -
Loudspeaker Parameters
Loudspeaker Parameters D. G. Meyer School of Electrical & Computer Engineering Outline • Review of How Loudspeakers Work • Small Signal Loudspeaker Parameters • Effect of Loudspeaker Cable • Sample Loudspeaker • Electrical Power Needed • Sealed Box Design Example How Loudspeakers Work How Loudspeakers Are Made Fundamental Small Signal Mechanical Parameters 2 • Sd – projected area of driver diaphragm (m ) • Mms – mass of diaphragm (kg) • Cms – compliance of driver’s suspension (m/N) • Rms – mechanical resistance of driver’s suspension (N•s/m) • Le – voice coil inductance (mH) • Re – DC resistance of voice coil ( Ω) • Bl – product of magnetic field strength in voice coil gap and length of wire in magnetic field (T•m) Small Signal Parameters These values can be determined by measuring the input impedance of the driver, near the resonance frequency, at small input levels for which the mechanical behavior of the driver is effectively linear. • Fs – (free air) resonance frequency of driver (Hz) – frequency at which the combination of the energy stored in the moving mass and suspension compliance is maximum, which results in maximum cone velocity – usually it is less efficient to produce output frequencies below F s – input signals significantly below F s can result in large excursions – typical factory tolerance for F s spec is ±15% Measurement of Loudspeaker Free-Air Resonance Small Signal Parameters These values can be determined by measuring the input impedance of the driver, near the resonance frequency, at small input levels for which the -
Characteristic Impedance of Lines on Printed Boards by TDR 03/04
Number 2.5.5.7 ASSOCIATION CONNECTING Subject ELECTRONICS INDUSTRIES ® Characteristic Impedance of Lines on Printed 2215 Sanders Road Boards by TDR Northbrook, IL 60062-6135 Date Revision 03/04 A IPC-TM-650 Originating Task Group TEST METHODS MANUAL TDR Test Method Task Group (D-24a) 1 Scope This document describes time domain reflectom- b. The value of characteristic impedance obtained from TDR etry (TDR) methods for measuring and calculating the charac- measurements is traceable to a national metrology insti- teristic impedance, Z0, of a transmission line on a printed cir- tute, such as the National Institute of Standards and Tech- cuit board (PCB). In TDR, a signal, usually a step pulse, is nology (NIST), through coaxial air line standards. The char- injected onto a transmission line and the Z0 of the transmis- acteristic impedance of these transmission line standards sion line is determined from the amplitude of the pulse is calculated from their measured dimensional and material reflected at the TDR/transmission line interface. The incident parameters. step and the time delayed reflected step are superimposed at the point of measurement to produce a voltage versus time c. A variety of methods for TDR measurements each have waveform. This waveform is the TDR waveform and contains different accuracies and repeatabilities. information on the Z0 of the transmission line connected to the d. If the nominal impedance of the line(s) being measured is TDR unit. significantly different from the nominal impedance of the Note: The signals used in the TDR system are actually rect- measurement system (typically 50 Ω), the accuracy and angular pulses but, because the duration of the TDR wave- repeatability of the measured numerical valued will be form is much less than pulse duration, the TDR pulse appears degraded. -
Electronic Filters Design Tutorial - 3
Electronic filters design tutorial - 3 High pass, low pass and notch passive filters In the first and second part of this tutorial we visited the band pass filters, with lumped and distributed elements. In this third part we will discuss about low-pass, high-pass and notch filters. The approach will be without mathematics, the goal will be to introduce readers to a physical knowledge of filters. People interested in a mathematical analysis will find in the appendix some books on the topic. Fig.2 ∗ The constant K low-pass filter: it was invented in 1922 by George Campbell and the Running the simulation we can see the response meaning of constant K is the expression: of the filter in fig.3 2 ZL* ZC = K = R ZL and ZC are the impedances of inductors and capacitors in the filter, while R is the terminating impedance. A look at fig.1 will be clarifying. Fig.3 It is clear that the sharpness of the response increase as the order of the filter increase. The ripple near the edge of the cutoff moves from Fig 1 monotonic in 3 rd order to ringing of about 1.7 dB for the 9 th order. This due to the mismatch of the The two filter configurations, at T and π are various sections that are connected to a 50 Ω displayed, all the reactance are 50 Ω and the impedance at the edges of the filter and filter cells are all equal. In practice the two series connected to reactive impedances between cells. -
Unit – I Filters
EC6503 Transmission lines and Waveguides Department of ECE 2018 - 2019 EC6503 TRANSMISSION LINES AND WAVEGUIDES UNIT –I TRANSMISSION LINE THEORY PART A - C303.1 1. Distinguish lumped parameters and distributed parameters. Lumped parameters are individually concentrated or lumped at discrete points in the circuit and can be identified definitely as representing a particular parameter. Distributed parameters are distributed along the circuit, each elemental length of the circuit having its own values and concentration of the individual parameters is not possible. 2. What are the different types of transmission lines? The different types of transmission lines are 1.Open wire line 2. Cable 3. Coaxial line 4. Waveguide 3. Describe the different parameters of a transmission line. (1)The parameters include resistance, which is uniformly distributed along the length of the conductors. Since current will be present, the conductors will be surrounded and linked by magnetic flux, and this phenomena will demonstrate its effect in distributed inductance along the line.(2)The conductors are separated by insulating dielectric, so that capacitance will be distributed along the conductor length.(3)The dielectric or the insulators of the open wire line may not be perfect, a leakage current will flow, and leakage conductance will exist between the conductors. 4. Give the general equations of a transmission line. The general equations are, E = ERcosh√ZY s + IRZosinh √ZY s I = IRcosh√ZY s + ( ER / Zo ) sinh √ZY s where Z= R + jωL = series impedance, ohms per unit length of line and Y = G + j ωC = shunt admittance, mhos per unit length of line. 5. -
Constant K Low Pass Filter
Constant k Low pass Filter Presentation by: S.KARTHIE Assistant Professor/ECE SSN College of Engineering Objective At the end of this section students will be able to understand, • What is a constant k low pass filter section • Characteristic impedance, attenuation and phase constant of low pass filter. • Design equations of low pass filter. Low Pass Ladder Networks • A low-pass network arranged as a ladder or repetitive network. Such a network may be considered as a number of T or ∏ sections in cascade. Low Pass Ladder Networks • a T section may be taken from the ladder by removing ABED, producing the low-pass filter section shown A B L/2 L/2 L/2 L/2 D E Low Pass Ladder Networks • Similarly a ∏ -network is obtained from the ladder network as shown L L L C C C C 2 2 2 2 Constant- K Low Pass Filter • A ladder network is shown in Figure below, the elements being expressed in terms of impedances Z1 and Z 2. Z1 Z1 Z1 Z1 Z1 Z1 Z2 Z2 Z Z 2 2 Z2 Constant- K Low Pass Filter • The network shown below is equivalent one shown in the previous slide , where ( Z1/2) in series with ( Z1/2) equals Z1 and 2 Z2 in parallel with 2 Z2 equals Z2. AB F G Z1/2 Z1/2 Z1/2 Z1/2 Z1 Z1 Z1 2Z Z2 Z2 2Z 2 2Z 2 2Z 2 2Z 2 2 D E J H Constant- K Low Pass Filter • Removing sections ABED and FGJH from figure gives the T & ∏ sections which are terminated in its characteristic impedance Z OT &Z0∏ respectively. -
Low Pass Filter Prototype – Maximally Flat
EKT 441 MICROWAVE COMMUNICATIONS MICROWAVE FILTERS 1 INTRODUCTIONWhat is a Microwave filter ? Circuit that controls the frequency response at a certain point in a microwave system provides perfect transmission of signal for frequencies in a certain passband region infinite attenuation for frequencies in the stopband region Attenuation/dB Attenuation/dB 0 0 3 3 10 10 20 20 30 30 40 40 1 2 c 2 FILTER DESIGN METHODS Filter Design Methods Two types of commonly used design methods: - Image Parameter Method - Insertion Loss Method •Image parameter method yields a usable filter Filters designed using the image parameter method consist of a cascade of simpler two port filter sections to provide the desired cutoff frequencies and attenuation characteristics but do not allow the specification of a particular frequency response over the complete operating range. Thus, although the procedure is relatively simple, the design of filters by the image parameter method often must be iterated many times to achieve the desired results. 3 Filter Design by The Insertion Loss Method The perfect filter would have zero insertion loss in the pass- band, infinite attenuation in the stop-band, and a linear phase response in the pass-band. 4 Filter Design by The Insertion Loss Method 5 Filter Design by The Insertion Loss Method 6 Filter Design by The Insertion Loss Method 7 Filter Design by The Insertion Loss Method Practical filter response: Maximally flat: • also called the binomial or Butterworth response, • is optimum in the sense that it provides the flattest possible passband response for a given filter complexity. N 2 PLR 1 k c Equal ripple also known as Chebyshev. -
1.1 Transmission Line Basic Concepts: Introduction to Narrow-Band Matching Networks
European Master of Research on Information Technology Design and Analysis of RF and Microwave Systems 1.1 Transmission line basic concepts: Introduction to narrow-band matching networks March 2010 Francesc Torres, Lluís Pradell, Jorge Miranda European Master of Research on Information Technology Design and Analysis of RF and Microwave Systems Voltage and current in the transmission line V For any lossless transmission line: L IL V (z) V (z) V (z) V(z V+(z) Z ≠ Z 1 Z0 I(z) - L 0 I(z) V (z) V (z) V (z) Z0 -z z=0 where At z=0 Periodicity of V(z) and I(z): wavelength jz (z z) z n2 , z n2 V (z) V0 e V (0) V0 V0 VL 1 jz I(0) V V I 2 V (z) V0 e Z L z n n 0 Impedance: load Reflection coefficient: load V V V V V 1 V Z Z Z L Z Z L Z L L 0 L 0 0 0 L I L V V V LV 1 L V Z L Z0 1 European Master of Research on Information Technology Design and Analysis of RF and Microwave Systems Reflection coefficient in the transmission line At any point z of the transmission line the impedance is computed as: V (z) 1 (z) Z(z) Z0 Z(z) Z0 (z) Z0 I(z) 1 (z) Z(z) Z0 At any point z of the transmission line the reflection coefficient is: V (z) V 2 jz 2 jz 2 jz (z) e (0)e Le V (z) V 2 jz Modulus (z) Le L Constant in z 180º 2z rad 2z deg Phase 2z 2 (z z) n2 , 2z n2 Linear n n Increasing with +z (towards load) z n Periodicity: half a wavelength 2 2 European Master of Research on Information Technology Design and Analysis of RF and Microwave Systems The transmission line as impedance transformer () L 2 j (z) L 2 jz Z0, β ZL≠ Z0 |Γ(z) |=|ΓL| i () z z=0 Example: Compute the input impedance Zi of a circuit formed by a transmission line of length is λ/8 and loaded with ZL=0 (sc). -
521Fmelectronic 1..14
Radio-Frequency and Microwave Communication Circuits: Analysis and Design Devendra K. Misra Copyright # 2001 John Wiley & Sons, Inc. ISBNs: 0-471-41253-8 (Hardback); 0-471-22435-9 (Electronic) RADIO-FREQUENCY AND MICROWAVE COMMUNICATION CIRCUITS RADIO-FREQUENCY AND MICROWAVE COMMUNICATION CIRCUITS ANALYSIS AND DESIGN DEVENDRA K. MISRA A WILEY±INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. New York Chichester Weinheim Brisbane Singapore Toronto Designations used by companies to distinguish their products are often claimed as trademarks. In all instances where John Wiley & Sons, Inc., is aware of a claim, the product names appear in initial capital or ALL CAPITAL LETTERS. Readers, however, should contact the appropriate companies for more complete information regarding trademarks and registration. Copyright # 2001 by John Wiley & Sons, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic or mechanical, including uploading, downloading, printing, decompiling, recording or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without the prior written permission of the Publisher. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 605 Third Avenue, New York, NY 10158-0012, (212) 850-6011, fax (212) 850-6008, E-Mail: PERMREQ@ WILEY.COM. This publication is designed to provide accurate and authoritative information in regard to the subject matter covered. It is sold with the understanding that the publisher is not engaged in rendering professional services. If professional advice or other expert assistance is required, the services of a competent professional person should be sought. -
Microwave Connectors
O30E.pdf Mar. 19,2021 Microwave Connectors !Note • Please read rating and !CAUTION (for storage, operating, rating, soldering, mounting and handling) in this catalog to prevent smoking and/or burning, etc. O30E.pdf • This catalog has only typical specifications. Therefore, please approve our product specifications or transact the approval sheet for product specifications before ordering. Mar. 19,2021 EU RoHS Compliant • All the products in this catalog comply with EU RoHS. • EU RoHS is "the European Directive 2011/65/EU on the Restriction of the Use of Certain Hazardous Substances in Electrical and Electronic Equipment." • For more details, please refer to our web page, "Murata's Approach for EU RoHS" (https://www.murata.com/en-eu/support/ compliance/rohs). !Note • Please read rating and !CAUTION (for storage, operating, rating, soldering, mounting and handling) in this catalog to prevent smoking and/or burning, etc. O30E.pdf • This catalog has only typical specifications. Therefore, please approve our product specifications or transact the approval sheet for product specifications before ordering. Mar. 19,2021 1 Contents Product specifications are as of February 2021. 2 Part Numbering p2 Type of Connectors p3 1 Microwave Coaxial Connectors with Switch SWD Type p5 SWF Type p7 SWG Type p9 SWH Type p11 SWH-2Way Type p13 SWJ Type p15 2 Microwave Multi Line Connectors MLF Type p17 Notice (Design) p22 Notice (Engagement/Disengagement) p23 Type of Probes p24 Electrical Performance Measurement System (Insertion Loss, VSWR) p25 Mechanical Performance Measurement System (Engagement/Disengagement Force) p26 Notice p27 Please check the MURATA website (https://www.murata.com/) if you cannot find a part number in this catalog. -
Acoustic Interface Design Guide
Acoustic Interface Design Guide MEMS MICROPHONES ECMs SPECIALTY MICROPHONES SPECIALTY SPEAKERS CUSTOM ASSEMBLIES ACOUSTIC SOFTWARE MICROPHONE AND SPEAKER BASICS Discover your next acoustic interface solution. Knowles Acoustics offers you a full spectrum of MEMS microphones, electret condenser microphones, specialty microphones, balanced armature speakers, custom assemblies, and sound conditioning software. This application guide will help you select the right acoustic interface solution. Knowles reserves the right to change designs and specifications without prior notice. Should a safety concern arise regarding this product, please contact us immediately for technical consultation. Knowles cannot assume responsibility for any problems arising out of the use of this product. This information does not convey any license by any implication under any patents or other right. 2 www.knowles.com We can help you every step of the way. It all starts with your application. Or it starts with an idea you may have. For support from concept to design to sub-assembly, or any step along the way, just call us. Or visit us at www.knowles.com Table of Contents MICROPHONES - MEMS . 4-5 MICROPHONES - ECMs . 6-8 SPECIALTY TRANSDUCERS - MICROPHONES . 9-14 ACCELEROMETERS & DAMPERS . 14 SPECIALTY TRANSDUCERS - SPEAKERS . 15-23 CUSTOM ASSEMBLIES . 24 ACOUSTIC SOFTWARE . 25 MICROPHONE AND SPEAKER BASICS . 26-27 www.knowles.com 3 MICROPHONES – MEMS SiSonic™ MEMS Microphones The SiSonic™ MEMS microphone series is entering its fourth generation of development, with product shipments exceeding 400 million units to date. The proven and evolving design series continues to support high-performance, high-density innovation in such applications as cell phones, digital still cameras, portable music players, premium earbuds and other portable electronic devices.