Application Note. Differential Amplifier

Size: px
Start display at page:

Download "Application Note. Differential Amplifier"

Transcription

1 Appliction Note AN367 Differentil Amplifier Author: Dve n Ess Associted Project: Yes Associted Prt Fmily: CY8C9x66, CY8C7x43, CY8C4x3A PSoC Designer ersion: 4. SP3 Abstrct For mny sensing pplictions, desirble feture is to mplify the difference of two inputs. Trditionlly this hs been done with instrumenttion mplifiers. However, for ADCs with differentil inputs, ll tht is required is differentil mplifier. The unique configurtion of the PSoC continuous time nlog blocks llows the implementtion of severl different types of differentil mplifiers. Detils re given showing their construction with Progrmmble Gin Amplifier (PGA User Modules. Introduction Be it mesuring the voltge cross current shunt or mesuring the voltge cross resistive stress guge bridge, it is often necessry to be ble to mplify only the difference of two voltges. Single-ended inputs re defined s being referenced to some ground reference. Amplifiction is esily done with PSoC PGA User Module. The topology is shown in the figure below. For the PGA, this feedbck is string of resistors hving totl resistnce of 6 units. The feedbck tp selects specific ttenution tht sets the gin. The resistnce vlues re defined ( 6 {,,,,3,4,5,6,7,8,9,0,,,3,4,5,6} 3 3 f ( Combining Equtions ( nd ( results in the following: in out Gin 6 (3 f Figure. Progrmmble Gin Amplifier The gin eqution is defined out f i Gin in ( i Differentil Signls equire Differentil Methods Suppose you hve 0.0 ohms current shunt tht sits t nominl voltge of 3 volts. With no current running through it, both sides of the shunt should be 3 volts. This is the common mode vlue for these two signls. Now, if A current is pssed through the shunt, 0 m develops cross it. This is the differentil voltge. These two points re combintion of common nd differentil voltge. Now, 0 m is not much of signl to digitize. Obviously technique must be found to provide gin to only the differentil prt of the signl. Such topology is shown in Figure. 4/4/006 evision A - -

2 AN367 out (6- out Figure. Differentil Amplifier Ech output is function of the input voltges nd resistnce vlues s shown in the eqution out ( 6 ( out out in (4 errnging this eqution results in the eqution shown out out diff 6 out ( out 6 ( in (5 Figure 4. Differentil Amplifier Prmeter Settings For this exmple, Amp is set to unity gin. Amp is set for gin of four nd the bottom of the resistor string is connected to Amp. Both mplifiers re brought out to individul output buffers. To show the common mode effect, pp sinusoid on ½ dc bis is fed into both nd. The outputs re shown in Figure 5. It is pprent tht the common signl ( psses through t unity gin while the differentil signl ( - gin is 6/. This topology cn be implemented with two PGAs. The block plcement nd prmeter settings re shown below. Figure 5. Outputs for pp ½ dc Figure 3. Block Plcement for Differentil Amplifier Chnnel is out nd Chnnel is out. Since the sme signl is fed into both inputs, by definition the differentil input is zero. Consistent with Eqution (5, out is the sme vlue s its input. out should be this common mode signl plus four times the differentil input. Becuse this differentil input is zero, out equls out. The oscilloscope mth pckge is used to clculte the difference of the two outputs. As expected, it is zero. 4/4/006 evision A - -

3 AN367 Now chnge the input to be ½ dc. The outputs re shown in Figure 6. Differentil Dynmic nge The input rnge of differentil input is function on the gin, common mode voltge ( cm nd the supply voltge ( dd. It is defined in the eqution 0 < cm < Gin cm indiff < dd dd < Gin cm (6 So given gin of four, supply voltge of 5 nd common mode voltge of 4, the mximum differentil input is ¼. The minimum differentil input is -. Figure 6. Outputs for pp ½ dc, ½ dc Trditionl Differentil Amplifier The trditionl differentil mplifier hs blnced gin. Its topology is shown in Figure 8. For this exmple, the common mode voltge is ½ dc, while the differentil voltge is pp. As expected, out is this ½ dc common mode signl. out is this common mode signl plus four times the differentil input. The clculted difference of these two outputs is - pp. Now swp the inputs so tht i n gets the ½ dc while gets the full pp ½ dc signl. The outputs re shown in Figure 7. out (6- (6- out Figure 8. Trditionl Differentil Amplifier This type of mplifier is used s the first stge for most instrumenttion mplifiers. The outputs re functions of the input voltges nd resistnce vlues s shown in the eqution Figure 7. Outputs for ½ dc, pp ½ dc For this exmple, the common mode voltge is pp ½ dc. The differentil voltge is - pp. As expected, out is this pp ½ dc common mode signl. out is this common mode signl plus four times the differentil input. This clcultes out to pp ½ dc 4*(- pp. It simplifies to: -3 pp ½ dc. The clculted difference of these two outputs is -4 pp. out out ( 6 ( 6 ( ( errnging this eqution results in the eqution shown (7 4/4/006 evision A - 3 -

4 AN367 out out diff out out ( (8 For this exmple, Amp nd Amp re set exctly the sme with gin of four nd the lower hlf of the resistor string set to nlog ground. Softwre is required to detch the resistor strings from nlog ground nd connect to ech other. This connection is mde using the exmple It is pprent tht the common signl is the verge of the two input voltges. It psses through t unity gin. The differentil gin is 6/6 with hlf the gined differentil signl dded to the common signl on out nd hlf the gined differentil signl subtrcted from the common signl on out. This topology cn be implemented with two PGAs. The block plcement nd prmeter settings re shown below. Amp_Strt(Amp_HIGHPOWE; Amp_Strt(Amp_HIGHPOWE; Amp_GAIN_C3 0x0; //Diff Amp Connection Amp_GAIN_C3 0x0; //Diff Amp Connection Code. To connect the two resistor strings together requires tht bit in ech block s control register 3 (C3 be set high. To show the common mode effect, pp sinusoid on.5 dc bis is fed into both nd. The outputs re shown in Figure. Figure 9. Block Plcement for Differentil Amplifier Figure. Outputs for pp ½ dc By definition, the common mode signl is the verge of the two signls, or pp ½ dc. The differentil signl is the difference of the two inputs, or zero. Both outputs re just the common mode voltge ( pp ½ dc. The clculted difference of these two outputs is zero. As in the erlier exmple, chnge input to.5 dc. The outputs re shown in Figure. Figure 0. Differentil Amplifier Prmeter Settings 4/4/006 evision A - 4 -

5 AN367 With different resistor rtios, ech output is function of the input voltges nd resistnce vlues s shown in the eqution out out ( 6 ( 6 ( ( (9 errnging this eqution results in tht shown Figure. Outputs for pp ½ dc, ½ dc By definition, the common mode signl is the verge of the two signls, or ½ pp ½ dc, while the differentil signl is pp. As expected, out is the common mode signl minus hlf of the gined differentil signl. This works out to -½ pp ½ dc. ou is the common mode signl plus hlf of the gined differentil signl. This works out to ½ pp ½ dc. The clculted difference of these two outputs is 4 pp. The differentil dynmic rnge is hrder to clculte. Chnge to single input cuses both chnges in the differentil signl nd the common mode signl. But generlly, the dynmic input rnge is the sme s tht defined by Eqution (6. Trditionl Schmditionl It is not necessry to mke both sme. In fct, interesting results hppen if you intentionlly mke them different. The new topology is shown in Figure 3. out (6- (6- out out diff in 3 in in 3 in 3 out out ( in (0 It is pprent tht the common signl is the weighted verge of the two input voltges. It psses through t unity gin. The differentil gin is 3/( with hlf the gined differentil signl dded to the common signl on out nd hlf the gined differentil signl subtrcted from the common signl on out. With gin of 6/, there were only 8 options for gin rnging from to 48. But know with gin of 3/(, there re 8 possibilities. emoving redundnt solutions leves remining 65 unique gin vlues rnging from to 48. They re displyed in the tble Tble. Unique Gin Settings out Figure 3. Throwing Trdition to the Wind 4/4/006 evision A - 5 -

6 AN367 Appendix A gives tble of gin vlues given nd. Also, the combintions of the two vlues llow for weighting of the common voltge output to select the common mode output tht offers the best differentil dynmic rnge for your specific ppliction. eding the Differentil lue It is necessry to hve n ADC with differentil inputs. The user modules re the ADCINC nd the DELSIG. The plcement nd prmeters to connect n ADCINC to the differentil mplifier re shown in the figures Why Not Use n INSAMP? The INSAMP, when configured with three opmp topology, is trditionl differentil mplifier followed by switch cpcitor block (SC block configured s n A minus-b stge. One problem with A-B stge is tht the mximum llowble column clock is MHz. For the ADCINC nd the DELSIG, the mximum column clock is 8 MHz. The differentil stges exmined here hve no switched cpcitor blocks so there is no such limittion. So the ADC cn operte 8 times fster with differentil mplifier thn with three opmp INSAMP. Also, if SC blocks re scrce resource in our design, then the solution tht uses less of them is preferred. Summry Differentil mplifiers mke it possible to mplify ny differentil signl. Both trditionl nd nontrditionl topologies hve been discussed nd instruction given to construct them. Figure 4. Block Plcement for DiffAmp nd ADCINC Figure 5. ADCINC Prmeter Settings The input connections re obvious. A subtle point is tht the NegInputGin prmeter must be set to for the ADC to hve differentil inputs. About the Author Nme: Title: Bckground: Contct: Dve n Ess Principl Appliction Engineer Cypress Semiconductor An Engineer by trining, poet by temperment, n outlw in Nebrsk, nd one heck of nice guy. Dve is cpble of bstrct thought, concrete nlysis, nd ruthless implementtion. BSEE from University of Cliforni, Berkeley. More thn 8 Yers experience in circuit, signl processing, digitl, softwre, nlog, nd system design. Holder of six U.S. Ptents (plus three pending for medicl systems, signl processing, nd digitl block enhncements. Author of numerous ppliction notes, web csts, nd technicl rticles. Joined Cypress Semiconductor t the dwn of the New Millennium. dwv@cypress.com 4/4/006 evision A - 6 -

7 AN367 Appendix A Differentil Gin lues for & \ Cypress Semiconductor nd Street SW, Building D Lynnwood, WA Phone: Fx: Copyright 006 Cypress Semiconductor Corportion. All rights reserved. PSoC is registered trdemrk of Cypress Semiconductor Corp. "Progrmmble System-on-Chip," PSoC Designer nd PSoC Express re trdemrks of Cypress Semiconductor Corp. All other trdemrks or registered trdemrks referenced herein re the property of their respective owners. The informtion contined herein is subject to chnge without notice. Mde in the U.S.A. 4/4/006 evision A - 7 -

Understanding Basic Analog Ideal Op Amps

Understanding Basic Analog Ideal Op Amps Appliction Report SLAA068A - April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).

More information

Experiment 3: Non-Ideal Operational Amplifiers

Experiment 3: Non-Ideal Operational Amplifiers Experiment 3: Non-Idel Opertionl Amplifiers Fll 2009 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output

More information

Experiment 3: Non-Ideal Operational Amplifiers

Experiment 3: Non-Ideal Operational Amplifiers Experiment 3: Non-Idel Opertionl Amplifiers 9/11/06 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output

More information

Exercise 1-1. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION

Exercise 1-1. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION Exercise 1-1 The Sine Wve EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the notion of sine wve nd how it cn be expressed s phsor rotting round the center of circle. You

More information

Kirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR):

Kirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR): SPH4UW Kirchhoff s ules Kirchhoff s oltge ule (K): Sum of voltge drops round loop is zero. Kirchhoff s Lws Kirchhoff s Current ule (KC): Current going in equls current coming out. Kirchhoff s ules etween

More information

(CATALYST GROUP) B"sic Electric"l Engineering

(CATALYST GROUP) Bsic Electricl Engineering (CATALYST GROUP) B"sic Electric"l Engineering 1. Kirchhoff s current l"w st"tes th"t (") net current flow "t the junction is positive (b) Hebr"ic sum of the currents meeting "t the junction is zero (c)

More information

EET 438a Automatic Control Systems Technology Laboratory 5 Control of a Separately Excited DC Machine

EET 438a Automatic Control Systems Technology Laboratory 5 Control of a Separately Excited DC Machine EE 438 Automtic Control Systems echnology bortory 5 Control of Seprtely Excited DC Mchine Objective: Apply proportionl controller to n electromechnicl system nd observe the effects tht feedbck control

More information

Engineer-to-Engineer Note

Engineer-to-Engineer Note Engineer-to-Engineer Note EE-297 Technicl notes on using Anlog Devices DSPs, processors nd development tools Visit our Web resources http://www.nlog.com/ee-notes nd http://www.nlog.com/processors or e-mil

More information

CHAPTER 2 LITERATURE STUDY

CHAPTER 2 LITERATURE STUDY CHAPTER LITERATURE STUDY. Introduction Multipliction involves two bsic opertions: the genertion of the prtil products nd their ccumultion. Therefore, there re two possible wys to speed up the multipliction:

More information

Synchronous Machine Parameter Measurement

Synchronous Machine Parameter Measurement Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions

More information

Lab 8. Speed Control of a D.C. motor. The Motor Drive

Lab 8. Speed Control of a D.C. motor. The Motor Drive Lb 8. Speed Control of D.C. motor The Motor Drive Motor Speed Control Project 1. Generte PWM wveform 2. Amplify the wveform to drive the motor 3. Mesure motor speed 4. Mesure motor prmeters 5. Control

More information

CS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates

CS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates Bsic Logic Gtes : Computer Architecture I Boolen Algebr Instructor: Prof. Bhgi Nrhri Dept. of Computer Science Course URL: www.ses.gwu.edu/~bhgiweb/cs35/ Digitl Logic Circuits We sw how we cn build the

More information

MEASURE THE CHARACTERISTIC CURVES RELEVANT TO AN NPN TRANSISTOR

MEASURE THE CHARACTERISTIC CURVES RELEVANT TO AN NPN TRANSISTOR Electricity Electronics Bipolr Trnsistors MEASURE THE HARATERISTI URVES RELEVANT TO AN NPN TRANSISTOR Mesure the input chrcteristic, i.e. the bse current IB s function of the bse emitter voltge UBE. Mesure

More information

Synchronous Machine Parameter Measurement

Synchronous Machine Parameter Measurement Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions

More information

ABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC

ABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC User Mnul ntelligent nstlltion Systems A B 1 2 3 4 5 6 7 8 30 ma 30 ma n = AC Un = 230 V AC 30 ma 9 10 11 12 C ABB STOTZ-KONTAKT Appliction Softwre Current Vlue Threshold/1 Contents Pge 1 Device Chrcteristics...

More information

Compared to generators DC MOTORS. Back e.m.f. Back e.m.f. Example. Example. The construction of a d.c. motor is the same as a d.c. generator.

Compared to generators DC MOTORS. Back e.m.f. Back e.m.f. Example. Example. The construction of a d.c. motor is the same as a d.c. generator. Compred to genertors DC MOTORS Prepred by Engr. JP Timol Reference: Electricl nd Electronic Principles nd Technology The construction of d.c. motor is the sme s d.c. genertor. the generted e.m.f. is less

More information

Engineer-to-Engineer Note

Engineer-to-Engineer Note Engineer-to-Engineer Note EE-247 Technicl notes on using Anlog Devices DSPs, processors nd development tools Contct our technicl support t dsp.support@nlog.com nd t dsptools.support@nlog.com Or visit our

More information

MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES

MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES Romn V. Tyshchuk Informtion Systems Deprtment, AMI corportion, Donetsk, Ukrine E-mil: rt_science@hotmil.com 1 INTRODUCTION During the considertion

More information

Synchronous Generator Line Synchronization

Synchronous Generator Line Synchronization Synchronous Genertor Line Synchroniztion 1 Synchronous Genertor Line Synchroniztion Introduction One issue in power genertion is synchronous genertor strting. Typiclly, synchronous genertor is connected

More information

Engineer-to-Engineer Note

Engineer-to-Engineer Note Engineer-to-Engineer Note EE-236 Technicl notes on using Anlog Devices DSPs, processors nd development tools Contct our technicl support t dsp.support@nlog.com nd t dsptools.support@nlog.com Or visit our

More information

The Discussion of this exercise covers the following points:

The Discussion of this exercise covers the following points: Exercise 4 Bttery Chrging Methods EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the different chrging methods nd chrge-control techniques commonly used when chrging Ni-MI

More information

Simulation of Transformer Based Z-Source Inverter to Obtain High Voltage Boost Ability

Simulation of Transformer Based Z-Source Inverter to Obtain High Voltage Boost Ability Interntionl Journl of cience, Engineering nd Technology Reserch (IJETR), olume 4, Issue 1, October 15 imultion of Trnsformer Bsed Z-ource Inverter to Obtin High oltge Boost Ability A.hnmugpriy 1, M.Ishwry

More information

Engineer To Engineer Note

Engineer To Engineer Note Engineer To Engineer Note EE-68 Technicl Notes on using Anlog Devices' DSP components nd development tools Contct our technicl support by phone: (800) ANALOG-D or e-mil: dsp.support@nlog.com Or visit our

More information

University of North Carolina-Charlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009

University of North Carolina-Charlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009 Problem 1: Using DC Mchine University o North Crolin-Chrlotte Deprtment o Electricl nd Computer Engineering ECGR 4143/5195 Electricl Mchinery Fll 2009 Problem Set 4 Due: Thursdy October 8 Suggested Reding:

More information

METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin

METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN Inventor: Brin L. Bskin 1 ABSTRACT The present invention encompsses method of loction comprising: using plurlity of signl trnsceivers to receive one or

More information

A Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM

A Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM A ovel Bck EMF Zero Crossing Detection of Brushless DC Motor Bsed on PWM Zhu Bo-peng Wei Hi-feng School of Electricl nd Informtion, Jingsu niversity of Science nd Technology, Zhenjing 1003 Chin) Abstrct:

More information

Modeling of Conduction and Switching Losses in Three-Phase Asymmetric Multi-Level Cascaded Inverter

Modeling of Conduction and Switching Losses in Three-Phase Asymmetric Multi-Level Cascaded Inverter Proceedings of the 5th WEA nt. onf. on Power ystems nd Electromgnetic omptibility, orfu, Greece, August 23-25, 2005 (pp176-181) Modeling of onduction nd witching Losses in Three-Phse Asymmetric Multi-Level

More information

& Y Connected resistors, Light emitting diode.

& Y Connected resistors, Light emitting diode. & Y Connected resistors, Light emitting diode. Experiment # 02 Ojectives: To get some hndson experience with the physicl instruments. To investigte the equivlent resistors, nd Y connected resistors, nd

More information

Extended InGaAs Photodiodes IG26-Series

Extended InGaAs Photodiodes IG26-Series Description The IG26series is pnchromtic PIN photodiode with nominl wvelength cutoff t 2.6 µm. This series hs been designed for demnding spectroscopic nd rdiometric pplictions. It offers excellent shunt

More information

Engineering: Elec 3509 Electronics II Instructor: Prof. Calvin Plett,

Engineering: Elec 3509 Electronics II Instructor: Prof. Calvin Plett, Engineering: Elec 3509 Electronics II Instructor: Prof. Clvin Plett, emil cp@doe.crleton.c Objective: To study the principles, design nd nlysis of nlog electronic circuits. Description: In this course,

More information

Math Circles Finite Automata Question Sheet 3 (Solutions)

Math Circles Finite Automata Question Sheet 3 (Solutions) Mth Circles Finite Automt Question Sheet 3 (Solutions) Nickols Rollick nrollick@uwterloo.c Novemer 2, 28 Note: These solutions my give you the nswers to ll the prolems, ut they usully won t tell you how

More information

Regular InGaAs Photodiodes IG17-Series

Regular InGaAs Photodiodes IG17-Series Description The IG7series is pnchromtic PIN photodiode with nominl wvelength cutoff t.7 µm. This series hs been designed for demnding spectroscopic nd rdiometric pplictions. It offers excellent shunt resistnce

More information

Section 17.2: Line Integrals. 1 Objectives. 2 Assignments. 3 Maple Commands. 1. Compute line integrals in IR 2 and IR Read Section 17.

Section 17.2: Line Integrals. 1 Objectives. 2 Assignments. 3 Maple Commands. 1. Compute line integrals in IR 2 and IR Read Section 17. Section 7.: Line Integrls Objectives. ompute line integrls in IR nd IR 3. Assignments. Red Section 7.. Problems:,5,9,,3,7,,4 3. hllenge: 6,3,37 4. Red Section 7.3 3 Mple ommnds Mple cn ctully evlute line

More information

Electronic Circuits I - Tutorial 03 Diode Applications I

Electronic Circuits I - Tutorial 03 Diode Applications I Electronic Circuits I - Tutoril 03 Diode Applictions I -1 / 9 - T & F # Question 1 A diode cn conduct current in two directions with equl ese. F 2 When reverse-bised, diode idelly ppers s short. F 3 A

More information

5 I. T cu2. T use in modem computing systems, it is desirable to. A Comparison of Half-Bridge Resonant Converter Topologies

5 I. T cu2. T use in modem computing systems, it is desirable to. A Comparison of Half-Bridge Resonant Converter Topologies 74 EEE TRANSACTONS ON POER ELECTRONCS, VOL. 3, NO. 2, APRL 988 A Comprison of Hlf-Bridge Resonnt Converter Topologies Abstrct-The hlf-bridge series-resonnt, prllel-resonnt, nd combintion series-prllel

More information

Mixed CMOS PTL Adders

Mixed CMOS PTL Adders Anis do XXVI Congresso d SBC WCOMPA l I Workshop de Computção e Aplicções 14 20 de julho de 2006 Cmpo Grnde, MS Mixed CMOS PTL Adders Déor Mott, Reginldo d N. Tvres Engenhri em Sistems Digitis Universidde

More information

ECE 274 Digital Logic Fall 2009 Digital Design

ECE 274 Digital Logic Fall 2009 Digital Design igitl Logic ll igitl esign MW -:PM, IL Romn Lysecky, rlysecky@ece.rizon.edu http://www.ece.rizon.edu/~ece hpter : Introduction Slides to ccompny the textbook igitl esign, irst dition, by rnk Vhid, John

More information

Discontinued AN6262N, AN6263N. (planed maintenance type, maintenance type, planed discontinued typed, discontinued type)

Discontinued AN6262N, AN6263N. (planed maintenance type, maintenance type, planed discontinued typed, discontinued type) ICs for Cssette, Cssette Deck ANN, ANN Puse Detection s of Rdio Cssette, Cssette Deck Overview The ANN nd the ANN re the puse detection integrted circuits which select the progrm on the cssette tpe. In

More information

Postprint. This is the accepted version of a paper presented at IEEE PES General Meeting.

Postprint.   This is the accepted version of a paper presented at IEEE PES General Meeting. http://www.div-portl.org Postprint This is the ccepted version of pper presented t IEEE PES Generl Meeting. Cittion for the originl published pper: Mhmood, F., Hooshyr, H., Vnfretti, L. (217) Sensitivity

More information

A Development of Earthing-Resistance-Estimation Instrument

A Development of Earthing-Resistance-Estimation Instrument A Development of Erthing-Resistnce-Estimtion Instrument HITOSHI KIJIMA Abstrct: - Whenever erth construction work is done, the implnted number nd depth of electrodes hve to be estimted in order to obtin

More information

JUMO Wtrans B Programmable Head Transmitter with Radio Transmission

JUMO Wtrans B Programmable Head Transmitter with Radio Transmission Dt Sheet 707060 Seite 1/10 JUMO Wtrns B Progrmmble Hed Trnsmitter with Rdio Trnsmission Brief description The Wtrns B hed trnsmitter with wireless dt trnsmission is used in connection with Wtrns receiver

More information

Make Your Math Super Powered

Make Your Math Super Powered Mke Your Mth Super Powered: Use Gmes, Chllenges, nd Puzzles Where s the fun? Lern Mth Workshop model by prticipting in one nd explore fun nocost/low-cost gmes nd puzzles tht you cn esily bring into your

More information

Lecture 20. Intro to line integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts.

Lecture 20. Intro to line integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts. Lecture 2 Intro to line integrls Dn Nichols nichols@mth.umss.edu MATH 233, Spring 218 University of Msschusetts April 12, 218 (2) onservtive vector fields We wnt to determine if F P (x, y), Q(x, y) is

More information

Homework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week

Homework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week Announcements Homework #1 due Mondy t 6pm White drop ox in Student Lounge on the second floor of Cory Tuesdy ls cncelled next week Attend your other l slot Books on reserve in Bechtel Hmley, 2 nd nd 3

More information

Precision Dual Difet OPERATIONAL AMPLIFIER

Precision Dual Difet OPERATIONAL AMPLIFIER OP Precision Dual Difet OPERTIONL MPLIFIER FETURES VERY LOW NOISE: nv/ Hz at khz LOW V OS : µv max LOW DRIFT: µv/ C max LOW I B : p max FST SETTLING TIME: µs to.% UNITY-GIN STBLE PPLICTIONS DT CQUISITION

More information

Low noise SQUID simulator with large dynamic range of up to eight flux quanta

Low noise SQUID simulator with large dynamic range of up to eight flux quanta Low noise SQUID simultor with lrge dynmic rnge of up to eight flux qunt A. Mrtinez*, J. Flokstr, C. Rillo**, L.A. Angurel**, L.M. Grci** nd H.J.M. ter Brke Twente University of Technology, Deprtment of

More information

Nevery electronic device, since all the semiconductor

Nevery electronic device, since all the semiconductor Proceedings of Interntionl Joint Conference on Neurl Networks, Orlndo, Florid, USA, August 12-17, 2007 A Self-tuning for Rel-time Voltge Regultion Weiming Li, Xio-Hu Yu Abstrct In this reserch, self-tuning

More information

Three-Phase Synchronous Machines The synchronous machine can be used to operate as: 1. Synchronous motors 2. Synchronous generators (Alternator)

Three-Phase Synchronous Machines The synchronous machine can be used to operate as: 1. Synchronous motors 2. Synchronous generators (Alternator) Three-Phse Synchronous Mchines The synchronous mchine cn be used to operte s: 1. Synchronous motors 2. Synchronous genertors (Alterntor) Synchronous genertor is lso referred to s lterntor since it genertes

More information

Example. Check that the Jacobian of the transformation to spherical coordinates is

Example. Check that the Jacobian of the transformation to spherical coordinates is lss, given on Feb 3, 2, for Mth 3, Winter 2 Recll tht the fctor which ppers in chnge of vrible formul when integrting is the Jcobin, which is the determinnt of mtrix of first order prtil derivtives. Exmple.

More information

CHAPTER 3 AMPLIFIER DESIGN TECHNIQUES

CHAPTER 3 AMPLIFIER DESIGN TECHNIQUES CHAPTER 3 AMPLIFIER DEIGN TECHNIQUE 3.0 Introduction olid-stte microwve mplifiers ply n importnt role in communiction where it hs different pplictions, including low noise, high gin, nd high power mplifiers.

More information

Ultra Low Cost ACCELEROMETER

Ultra Low Cost ACCELEROMETER Chip Scle Pckged Digitl Therml Orienttion Sensing Accelerometer MXC6226XC Document Version D Pge 1 of 13 Fetures Generl Description Fully Integrted Therml Accelerometer X/Y Axis, 8 bit, Accelertion A/D

More information

REVIEW QUESTIONS. Figure For Review Question Figure For Review Question Figure For Review Question 10.2.

REVIEW QUESTIONS. Figure For Review Question Figure For Review Question Figure For Review Question 10.2. HAPTE 0 Sinusoidl Stedy-Stte Anlysis 42 EVIEW QUESTIONS 0. The voltge cross the cpcitor in Fig. 0.43 is: () 5 0 V () 7.07 45 V (c) 7.07 45 V (d) 5 45 V Ω 0.5 efer to the circuit in Fig. 0.47 nd oserve

More information

Products no longer available

Products no longer available echnicl dt sheet otry ctutor F2-P(-O) ultifunctionl rotry ctutor with emergency control for 2 nd 3 wy control bll vlve orque Nm Nominl voltge C/DC 2 V Control: odulting DC... V or vrible Position feedbck

More information

Application Note. Programmable Bipolar Analog Current Source. PSoC Style

Application Note. Programmable Bipolar Analog Current Source. PSoC Style Application Note AN2089 Programmable Bipolar Analog Current Source. PSoC Style By: Dave an Ess Associated Project: Yes Associated Part Family: CY8C25xxx, CY8C26xxx Summary The unique configuration of the

More information

The computer simulation of communication for PLC systems

The computer simulation of communication for PLC systems The computer simultion of communiction for PLC systems Jiri Misurec Milos Orgon Dept. of Telecommunictions Fculty of Electricl Engineering nd Communiction Brno University of Technology Purkynov 8 6 00

More information

Spiral Tilings with C-curves

Spiral Tilings with C-curves Spirl Tilings with -curves Using ombintorics to Augment Trdition hris K. Plmer 19 North Albny Avenue hicgo, Illinois, 0 chris@shdowfolds.com www.shdowfolds.com Abstrct Spirl tilings used by rtisns through

More information

The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center

The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center Resource Overview Quntile Mesure: Skill or Concept: 300Q Model the concept of ddition for sums to 10. (QT N 36) Model the concept of sutrction using numers less thn or equl to 10. (QT N 37) Write ddition

More information

CAL. NX15 DUO-DISPLAY QUARTZ

CAL. NX15 DUO-DISPLAY QUARTZ L. NX15 UO-ISPLY QURTZ l nlogue time disply l igitl time nd clendr l hronogrph l Tchymeter l t recll function l lrm l Illuminting light (Electroluminescent pnel) ENGLISH Illuminting light (TIME/LENR mode

More information

PRACTICE NO. PT-TE-1414 RELIABILITY PAGE 1 OF 6 PRACTICES ELECTROSTATIC DISCHARGE (ESD) TEST PRACTICES

PRACTICE NO. PT-TE-1414 RELIABILITY PAGE 1 OF 6 PRACTICES ELECTROSTATIC DISCHARGE (ESD) TEST PRACTICES PREFERRED PRACTICE NO. PT-TE-1414 RELIABILITY PAGE 1 OF 6 ELECTROSTATIC DISCHARGE (ESD) TEST Prctice: Test stellites for the ility to survive the effects of electrosttic dischrges (ESDs) cused y spce chrging

More information

Ultra Low Cost ACCELEROMETER

Ultra Low Cost ACCELEROMETER Chip Scle Pckged Fully Integrted Therml Accelerometer MXC622xXC Rev,A 8/19/2011 Pge 1 of 13 Fetures Generl Description Fully Integrted Therml Accelerometer X/Y Axis, 8 bit, Accelertion A/D Output (± 2g)

More information

A COMPARISON OF CIRCUIT IMPLEMENTATIONS FROM A SECURITY PERSPECTIVE

A COMPARISON OF CIRCUIT IMPLEMENTATIONS FROM A SECURITY PERSPECTIVE A COMPARISON OF CIRCUIT IMPLEMENTATIONS FROM A SECURITY PERSPECTIVE Mster Thesis Division of Electronic Devices Deprtment of Electricl Engineering Linköping University y Timmy Sundström LITH-ISY-EX--05/3698--SE

More information

Direct Current Circuits. Chapter Outline Electromotive Force 28.2 Resistors in Series and in Parallel 28.3 Kirchhoff s Rules 28.

Direct Current Circuits. Chapter Outline Electromotive Force 28.2 Resistors in Series and in Parallel 28.3 Kirchhoff s Rules 28. P U Z Z L E R If ll these pplinces were operting t one time, circuit reker would proly e tripped, preventing potentilly dngerous sitution. Wht cuses circuit reker to trip when too mny electricl devices

More information

Module 9. DC Machines. Version 2 EE IIT, Kharagpur

Module 9. DC Machines. Version 2 EE IIT, Kharagpur Module 9 DC Mchines Version EE IIT, Khrgpur esson 40 osses, Efficiency nd Testing of D.C. Mchines Version EE IIT, Khrgpur Contents 40 osses, efficiency nd testing of D.C. mchines (esson-40) 4 40.1 Gols

More information

SOLVING TRIANGLES USING THE SINE AND COSINE RULES

SOLVING TRIANGLES USING THE SINE AND COSINE RULES Mthemtics Revision Guides - Solving Generl Tringles - Sine nd Cosine Rules Pge 1 of 17 M.K. HOME TUITION Mthemtics Revision Guides Level: GCSE Higher Tier SOLVING TRIANGLES USING THE SINE AND COSINE RULES

More information

ECE 274 Digital Logic. Digital Design. Datapath Components Shifters, Comparators, Counters, Multipliers Digital Design

ECE 274 Digital Logic. Digital Design. Datapath Components Shifters, Comparators, Counters, Multipliers Digital Design ECE 27 Digitl Logic Shifters, Comprtors, Counters, Multipliers Digitl Design..7 Digitl Design Chpter : Slides to ccompny the textbook Digitl Design, First Edition, by Frnk Vhid, John Wiley nd Sons Publishers,

More information

SGM4582 High Voltage, CMOS Analog Multiplexer

SGM4582 High Voltage, CMOS Analog Multiplexer High Voltage, CMOS nalog Multiplexer GENERL DESCRIPTION The is a high voltage, CMOS analog IC configured as two 4-channel multiplexers. This CMOS device can operate from ±1.8V to ±5.5V dual power supplies

More information

Experiment 3: The research of Thevenin theorem

Experiment 3: The research of Thevenin theorem Experiment 3: The reserch of Thevenin theorem 1. Purpose ) Vlidte Thevenin theorem; ) Mster the methods to mesure the equivlent prmeters of liner twoterminl ctive. c) Study the conditions of the mximum

More information

DP4T RF CMOS Switch: A Better Option to Replace the SPDT Switch and DPDT Switch

DP4T RF CMOS Switch: A Better Option to Replace the SPDT Switch and DPDT Switch Send Orders of Reprints t reprints@enthmscience.org 244 Recent Ptents on Electricl & Electronic Engineering 2012, 5, 244-248 DP4T RF CMOS Switch: A Better Option to Replce the SPDT Switch nd DPDT Switch

More information

First Round Solutions Grades 4, 5, and 6

First Round Solutions Grades 4, 5, and 6 First Round Solutions Grdes 4, 5, nd 1) There re four bsic rectngles not mde up of smller ones There re three more rectngles mde up of two smller ones ech, two rectngles mde up of three smller ones ech,

More information

Digital Design. Chapter 1: Introduction

Digital Design. Chapter 1: Introduction Digitl Design Chpter : Introduction Slides to ccompny the textbook Digitl Design, with RTL Design, VHDL, nd Verilog, 2nd Edition, by, John Wiley nd Sons Publishers, 2. http://www.ddvhid.com Copyright 2

More information

Student Book SERIES. Patterns and Algebra. Name

Student Book SERIES. Patterns and Algebra. Name E Student Book 3 + 7 5 + 5 Nme Contents Series E Topic Ptterns nd functions (pp. ) identifying nd creting ptterns skip counting completing nd descriing ptterns predicting repeting ptterns predicting growing

More information

D I G I TA L C A M E R A S PA RT 4

D I G I TA L C A M E R A S PA RT 4 Digitl Cmer Technologies for Scientific Bio-Imging. Prt 4: Signl-to-Noise Rtio nd Imge Comprison of Cmers Yshvinder Shrwl, Solexis Advisors LLC, Austin, TX, USA B I O G R A P H Y Yshvinder Shrwl hs BS

More information

THE present trends in the development of integrated circuits

THE present trends in the development of integrated circuits On-chip Prmetric Test of -2 Ldder Digitl-to-Anlog Converter nd Its Efficiency Dniel Arbet, Vier Stopjková, Jurj Brenkuš, nd Gábor Gyepes Abstrct This pper dels with the investigtion of the fult detection

More information

Safety Relay Unit. Main contacts Auxiliary contact Number of input channels Rated voltage Model Category. possible 24 VAC/VDC G9SA-501.

Safety Relay Unit. Main contacts Auxiliary contact Number of input channels Rated voltage Model Category. possible 24 VAC/VDC G9SA-501. Sfety Rely Unit The Series Offers Complete Line-up of Compct Units. Four kinds of -mm wide Units re ville: A -pole model, -pole model, nd models with poles nd OFF-dely poles, s well s Two-hnd ler. Simple

More information

Section 16.3 Double Integrals over General Regions

Section 16.3 Double Integrals over General Regions Section 6.3 Double Integrls over Generl egions Not ever region is rectngle In the lst two sections we considered the problem of integrting function of two vribles over rectngle. This sitution however is

More information

TUTORIAL Electric Machine Modeling

TUTORIAL Electric Machine Modeling TUTORIAL Electric Mchine Modeling October 206 Electric Mchine Modeling One cn crete electric chine odels using the bsic unction blocks in PSIM. In this tutoril, we will illustrte how to crete the odel

More information

MONOCHRONICLE STRAIGHT

MONOCHRONICLE STRAIGHT UPDATED 09-2010 HYDROCARBON Hydrocrbon is poncho-style cowl in bulky-weight yrn, worked in the round. It ws designed to be s prcticl s it is stylish, with shping tht covers the neck nd shoulders nd the

More information

ECE 274 Digital Logic

ECE 274 Digital Logic ECE - Digitl Logic (Textbook - Required) ECE Digitl Logic Instructor: Romn Lysecky, rlysecky@ece.rizon.edu Office Hours: TBA, ECE F Lecture: MWF :-: PM, ILC Course Website: http://www.ece.rizon.edu/~ece/

More information

Single-Ended 16-Channel/Differential 8-Channel CMOS ANALOG MULTIPLEXERS

Single-Ended 16-Channel/Differential 8-Channel CMOS ANALOG MULTIPLEXERS MPC507 MPC50 MPC50 MPC507 Single-ded -Channel/Differential 8-Channel CMOS NLOG MULTIPLEXERS FETURES NLOG OVERVOLTGE PROTECTION: 70Vp-p NO CHNNEL INTERCTION DURING OVERVOLTGE BREK-BEFORE-MKE SWITCHING NLOG

More information

Threshold Logic Computing: Memristive-CMOS Circuits for Fast Fourier Transform and Vedic Multiplication

Threshold Logic Computing: Memristive-CMOS Circuits for Fast Fourier Transform and Vedic Multiplication 1 Threshold Logic Computing: Memristive-CMOS Circuits for Fst Fourier Trnsform nd edic Multipliction Alex Pppchen Jmes, Dinesh S. Kumr, nd Arun Ajyn Abstrct Brin inspired circuits cn provide n lterntive

More information

Job Sheet 2. Variable Speed Drive Operation OBJECTIVE PROCEDURE. To install and operate a Variable Speed Drive.

Job Sheet 2. Variable Speed Drive Operation OBJECTIVE PROCEDURE. To install and operate a Variable Speed Drive. Job Sheet 2 Vrible Speed Drive Opertion OBJECTIVE To instll nd operte Vrible Speed Drive. PROCEDURE Before proceeding with this job, complete the sfety check list in Appendix B. 1. On the Vrible Speed

More information

Analog computation of wavelet transform coefficients in real-time Moreira-Tamayo, O.; Pineda de Gyvez, J.

Analog computation of wavelet transform coefficients in real-time Moreira-Tamayo, O.; Pineda de Gyvez, J. Anlog computtion of wvelet trnsform coefficients in rel-time Moreir-Tmyo, O.; Pined de Gyvez, J. Published in: IEEE Trnsctions on Circuits nd Systems. I, Fundmentl Theory nd Applictions DOI: 0.09/8.558443

More information

Sequential Logic (2) Synchronous vs Asynchronous Sequential Circuit. Clock Signal. Synchronous Sequential Circuits. FSM Overview 9/10/12

Sequential Logic (2) Synchronous vs Asynchronous Sequential Circuit. Clock Signal. Synchronous Sequential Circuits. FSM Overview 9/10/12 9//2 Sequentil (2) ENGG5 st Semester, 22 Dr. Hden So Deprtment of Electricl nd Electronic Engineering http://www.eee.hku.hk/~engg5 Snchronous vs Asnchronous Sequentil Circuit This Course snchronous Sequentil

More information

Interference Cancellation Method without Feedback Amount for Three Users Interference Channel

Interference Cancellation Method without Feedback Amount for Three Users Interference Channel Open Access Librry Journl 07, Volume, e57 ISSN Online: -97 ISSN Print: -9705 Interference Cncelltion Method without Feedbc Amount for Three Users Interference Chnnel Xini Tin, otin Zhng, Wenie Ji School

More information

9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations

9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations 54 CHAPTER 9 PARAMETRIC EQUATINS AND PLAR CRDINATES 49. r, 5. r sin 3, 5 54 Find the points on the given curve where the tngent line is horizontl or verticl. 5. r 3 cos 5. r e 53. r cos 54. r sin 55. Show

More information

Package Code. K : SOP-8 Operating Junction Temperature Range C : -55 to 150 o C Handling Code TR : Tape & Reel. Handling Code Temperature Range

Package Code. K : SOP-8 Operating Junction Temperature Range C : -55 to 150 o C Handling Code TR : Tape & Reel. Handling Code Temperature Range N-Chnnel Enhncement Mode MOSFET Fetures 30V/A, R DS(ON) = 16mW(mx.) @ V GS = V R DS(ON) = 22mW(mx.) @ V GS = 4.5V 0% UIS + R g Tested Relible nd Rugged Led Free nd Green Devices Avilble (RoHS Complint)

More information

Pilot Operated Proportional DC Valve Series D*1FB. Pilot Operated Proportional DC Valve Series D*1FB. D*1FBR and D*1FBZ

Pilot Operated Proportional DC Valve Series D*1FB. Pilot Operated Proportional DC Valve Series D*1FB. D*1FBR and D*1FBZ Ctlogue HY11-35/UK Chrcteristics Series D*1F Ctlogue HY11-35/UK Regenertive nd Hyrid Function Series D*1F he pilot operted proportionl directionl vlves D*1F re ville in 4 sizes: D31F - NG1 (CEO 5) D41F

More information

Pilot Operated Servo Proportional DC Valve Series D*1FP

Pilot Operated Servo Proportional DC Valve Series D*1FP Ctlogue HY11-5/UK Chrcteristics he series of pilot operted servo proportionl vlves D*1F trnsfers the dvntges of the rker ptented Voice Coil Drive (VCD ) to lrger frme sizes nd thus high flow rtes. he high

More information

Joanna Towler, Roading Engineer, Professional Services, NZTA National Office Dave Bates, Operations Manager, NZTA National Office

Joanna Towler, Roading Engineer, Professional Services, NZTA National Office Dave Bates, Operations Manager, NZTA National Office . TECHNICA MEMOANDM To Cc repred By Endorsed By NZTA Network Mngement Consultnts nd Contrctors NZTA egionl Opertions Mngers nd Are Mngers Dve Btes, Opertions Mnger, NZTA Ntionl Office Jonn Towler, oding

More information

MOS Transistors. Silicon Lattice

MOS Transistors. Silicon Lattice rin n Width W chnnel p-type (doped) sustrte MO Trnsistors n Gte Length L O 2 (insultor) ource Conductor (poly) rin rin Gte nmo trnsistor Gte ource pmo trnsistor licon sustrte doped with impurities dding

More information

Polar coordinates 5C. 1 a. a 4. π = 0 (0) is a circle centre, 0. and radius. The area of the semicircle is π =. π a

Polar coordinates 5C. 1 a. a 4. π = 0 (0) is a circle centre, 0. and radius. The area of the semicircle is π =. π a Polr coordintes 5C r cos Are cos d (cos + ) sin + () + 8 cos cos r cos is circle centre, nd rdius. The re of the semicircle is. 8 Person Eduction Ltd 8. Copying permitted for purchsing institution only.

More information

Control and Implementation of a New Modular Matrix Converter

Control and Implementation of a New Modular Matrix Converter 1 ontrol nd Implementtion of New Modulr Mtrix onverter S. ngkititrkul nd R. W. Erickson olordo Power Electronics enter University of olordo, oulder oulder, O 839425, US ngkitis@colordo.edu bstrct Implementtion

More information

Study on SLT calibration method of 2-port waveguide DUT

Study on SLT calibration method of 2-port waveguide DUT Interntionl Conference on Advnced Electronic cience nd Technology (AET 206) tudy on LT clibrtion method of 2-port wveguide DUT Wenqing Luo, Anyong Hu, Ki Liu nd Xi Chen chool of Electronics nd Informtion

More information

Re: PCT Minimum Documentation: Updating of the Inventory of Patent Documents According to PCT Rule 34.1

Re: PCT Minimum Documentation: Updating of the Inventory of Patent Documents According to PCT Rule 34.1 C. SCIT 2508 00 August 10, 2000 Re: PCT Minimum Documenttion: Updting of the Inventory of Ptent Documents According to PCT Rule 34.1 Sir, Mdm, The current version of the Inventory of Ptent Documents for

More information

Student Book SERIES. Fractions. Name

Student Book SERIES. Fractions. Name D Student Book Nme Series D Contents Topic Introducing frctions (pp. ) modelling frctions frctions of collection compring nd ordering frctions frction ingo pply Dte completed / / / / / / / / Topic Types

More information

Soft switched DC-DC PWM Converters

Soft switched DC-DC PWM Converters Soft switched DC-DC PWM Converters Mr.M. Prthp Rju (), Dr. A. Jy Lkshmi () Abstrct This pper presents n upgrded soft switching technique- zero current trnsition (ZCT), which gives better turn off chrcteristics

More information

Experiment 8 Series DC Motor (II)

Experiment 8 Series DC Motor (II) Ojectives To control the speed of loded series dc motor y chnging rmture voltge. To control the speed of loded series dc motor y dding resistnce in prllel with the rmture circuit. To control the speed

More information

Pilot Operated Servo Proportional DC Valve Series D*1FP

Pilot Operated Servo Proportional DC Valve Series D*1FP Ctlogue HY11-5/UK Chrcteristics he series of pilot operted servo proportionl vlves D*1F trnsfers the dvntges of the rker ptented Voice Coil Drive (VCD ) to lrger frme sizes nd thus high flow rtes. he high

More information

EE Controls Lab #2: Implementing State-Transition Logic on a PLC

EE Controls Lab #2: Implementing State-Transition Logic on a PLC Objective: EE 44 - Controls Lb #2: Implementing Stte-rnsition Logic on PLC ssuming tht speed is not of essence, PLC's cn be used to implement stte trnsition logic. he dvntge of using PLC over using hrdwre

More information

Geometric quantities for polar curves

Geometric quantities for polar curves Roerto s Notes on Integrl Clculus Chpter 5: Bsic pplictions of integrtion Section 10 Geometric quntities for polr curves Wht you need to know lredy: How to use integrls to compute res nd lengths of regions

More information