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


 Ernest King
 3 years ago
 Views:
Transcription
1 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 nd = = () Lel ll currents Choose ny direction () Choose loop nd direction Must strt on wire, not element. Kirchhoff s Lws E E E 4 4 =+E =E () Write down voltge drops tteries increse or decrese ccording to which end you encounter first. esistors drop if going with current. esistors increse if gong ginst current. 5 e   e =0 For inner loop Lel Choose Write K currents loop or Find : ε   ε  = = 0 = + mps Prctice e = 50 =5 W Wht if only went from to?, Find   = e  = 505 = 40 olts e = 50  = + + e = = +40 olts Therefore is 40 higher thn =5 W =5 W =5 W e = 0 e = 0 esistors nd re: Understnding ) in prllel ) in series ) neither Definition of prllel: Two elements re in prllel if (nd only if) you cn mke loop tht contins only those two elements. E = 5 =0 W =0 W +  E = 0 Definition of series: Two elements re in series if (nd only if) every loop t Contins lso contins
2 Prctice slide 7 Understnding slide 7 Clculte the current through resistor. ) = 0.5 ) =.0 ) =.5 e 0 e =0 W E = 5 =0 W < Strt E = 0 Understnding: oltge Lw How would chnge if the switch ws closed? ) ncrese ) No chnge ) Decrese 0 0W Clculte the current through resistor. ) = 0.5 ) =.0 ) =.5 E E W 0 5 0W 0.5 E = 5 =0 W =0 W E = 0 Strting t Str nd move clockwise round loop Kirchhoff s Junction ule Current Entering = Current Leving = + slide 7 () Lel ll currents Choose ny direction Kirchhoff s Lws Understnding ) = 0.5 = + ) =.0 = ) =.5 =.5 =.0 =0 W E = 5 =0 W = E = 0 () Choose loop nd direction Your choice! () Write down voltge drops Follow ny loops (4) Write down node eqution in = out E E E Ohm s Lw Series esistor Prllel Wiring oltge Ech resistor on the sme wire. Different for ech resistor. totl = + Ech resistor on different wire. Sme for ech resistor. totl = = Current Sme for ech resistor totl = = Different for ech resistor totl = + esistnce ncreses eq = + Decreses / eq = / + /
3 Understnding / Which configurtion hs the smllest resistnce? Which configurtion hs the lrgest resistnce? Prllel + Series Tests esistors nd re in series if nd only if every loop tht contins lso contins esistors nd re in prllel if nd only if you cn mke loop tht hs ONLY nd loop tht ONLY contins Understnding Determine the voltge nd current in ech resistor First we notice the voltge drop =5W through these =5W two resistor EQ groupings totl 0. =7W e 0=0 Let s comine to find EQ 4=5W 5W 5W 7W EQ 6.04W Let s now dd 4 to this EQ tot EQ 6.04W 5W 4.04W e 0=0 4 : 4 =5W =7W 0.9 =5W Understnding 4=5W 4 tot W 4.5 Since voltge drop hs to totl 0, EQ =04.5=5.5 e 0=0 T=.04W W,,, experience the sme voltge EQ : : : 5.5 5W EQ 5.5 5W Let s determine the current, T This current will flow through ech of the resistor groupings EQ 5.5 7W The  Chrt Determine the oltge, Current, nd esistnce 7Ω The  Chrt Determine the oltge, Current, nd esistnce T 5W 4.7W 9.7W 7Ω 7W 0W eq 4.7W eq Step : Fill out the tle with known resistors nd the Totl oltge for circuit Totl Step : Using resistor lws, determine totl resistnce of circuit Totl 9.7
4 The  Chrt Determine the oltge, Current, nd esistnce 9.7W 7Ω.. 5W 6.6 The  Chrt Determine the oltge, Current, nd esistnce 7Ω Step 4: Step : Since initil current mount will Using lso pss Ohm s through lw, determine resistor, the we Current cn determine of circuit. its voltge drop Totl. 9.7 Step 5: Since nd hve the sme oltge drop, we then must hve 6.6= Totl. 9.7 The  Chrt Determine the oltge, Current, nd esistnce 7Ω Step 6: Use ohm s lw to find currents Totl. 9.7 f 60 wtt light ul opertes t voltge of 0, wht is the resistnce of the ul? ) Ω ) 0Ω c) d) 70Ω e) 700Ω P 0 40 P 60W W Three resistors re connected to 0 ttery s shown elow. Wht is the current through the.0 Ω resistor? ) 0.5 ) 0.50 c).0 d).0 e) 4.0 ε=0 Since ll resistors re in series, the mount of current tht psses through ny one of them is the sme. So we need to simply the circuit to determine tht current. 4.0Ω s... n 4W 4W W 0W 4.0Ω.0Ω 0 0W s... n Determine the equivlent resistnce etween points nd? ) 0.67Ω W ) 0.5 Ω W 4W P c) 0. Ω d).5 Ω W W 6W e) Ω Ω W 6W W 4Ω Ω Ω 4
5 Wht is the voltge drop cross the ohm resistor in the portion of the circuit shown? ) 4 ) 6 c) 48 d) 7 e) 44 8Ω 4Ω 8Ω Ω W 8W 4W 8W P W W 4W Since the top rnch hs 4Ω of resistnce nd the ottom rnch hs Ω of resistnce, therefore times s much current will flow through the 4Ω resistor thn the Ω resistor. This reks down the into 9 up nd down. So form = we hve =()(Ω)=6 Ω We could lso hve produced T nd found Ω vlue, therefore voltge drop of (Ω)()=6 on oth the upper nd lower rnch 9 00Ω,, nd 50Ω resistor re connected to 9 ttery s in the circuit shown elow. Which of the three resistors dissiptes the most power? We cn lso nswer this question fster P ) The 00Ω resistor y noticing tht the voltge drops cross ) The resistor the 00Ω nd then cross the prllel c) The 50Ω resistor resistors. P Since Pthe 00Ω hs P higher d) oth the nd the 50Ω vlue thn the prllel comintion, it will e) ll dissipte the sme power hve 5.4 lrger voltge.6drop thn the.6 comintion so vi P=, it dissiptes the 00Ω 00W 0W 50W most power. 0.9W 0.08W 0.086W 50Ω Therefore the 00Ω resistor dissiptes the most mount of power. ) t wht rte does the ttery deliver energy to the circuit? ε=0 0Ω 00Ω ) t wht rte does the ttery deliver energy to the circuit? ) Determine the current through the 0 Ω resistor. c) i) Determine the potentil difference etween points nd ii) t which of these two points is the potentil higher? d) Determine the energy dissipted y the 00 Ω resistor in 0 s ecll: te is Power P We need to write this s simple circuit with T so tht we cn determine the current, y using =. T 0W 0W 0W 40W 0 00W 60W 0 60W T ε=0 P 0 40W 0Ω 00Ω ecll: from ) we hve current The rtio of the resistnce of left side to right side is 40:0 or : ) Determine the current through the 0 Ω resistor. ε=0 0Ω 00Ω Therefore ¼ of goes through the right nd ¾ of goes through the left. Thus (/4)()=0.5 psses through the 0Ω resistor. We cn determine the voltge drop. 0 ()() ()() ()() =60 Then we use = to find ech individul current. c) i) Determine the potentil difference etween points nd ii) t which of these two points is the potentil higher? i) 0 00 ε=0 0.50W 0.500W 60 0Ω 00Ω ii) Point is t higher potentil. Since current flows from high potentil to low potentil. O 5
6 d) Determine the energy dissipted y the 00 Ω resistor in 0 s ecll: Energy equls Power multiplied y Time E Pt P ε=0 E t W0s 50J 0Ω 00Ω Let s follow conventionl current pth through T e W 0.95W Understnding e 0=0 =5W =7W =5W You cn pick ny pth through the circuit nd the totl voltge increses nd decrese will lnce 4=5W You cn reverse the direction of the current nd thus the signs, (tteries increse the voltge, resistors drop the voltge) nd otin the sme results. Let us clculte the Current nd the Power (used/generted) y the elements of the following circuit. Wht hppens to the Power delivery nd consumption if nother identicl ul is plce in prllel or in series with the first? P.5W 5 5.5W.5W 0W 5.5W e 5 P 5 ) 0W Let us clculte the Current nd the Power (used/generted) y the elements of the following circuit when uls re in prllel. P P.5W 5.5W 5 5.5W.5W 5 0W.5W.5W 0W 5.5W e 5 P 5 ) 0W ecuse the uls (resistors) re in prllel, we use the prllel lw to determine totl resistnce of the circuit W 4.5W e 5 P 45 ) 0W Let us clculte the Current nd the Power (used/generted) y the elements of the following circuit when uls re in series. P.5W P.5W W.5.5W 0W.5W.5W ε= 9 00Ω 5.5W e 5 P 5 ) 0W ecuse the uls (resistors) re in series, we use the series lw to determine totl resistnce of the circuit. 5 5 W.5W.5W e 5 P 5) 5W ) Simplify the ove circuit so tht it consists of one equivlent resistor nd the ttery. ) Wht is the totl current through this circuit? c) Find the voltge cross ech resistor. d) Find the current through ech resistor. e) The resistor is now removed from the circuit. Stte whether the current through the 00Ω resistor would increse, decrese, or remin the sme. 6
7 00Ω 00Ω ε= 9 EQ ε= 9 EQ =4.Ω ) Simplify the ove circuit so tht it consists of one equivlent resistor nd the ttery. 400W 500W 000 W 9.W 00W 00W 0W 000 EQ W 0W 9 4.W EQ ) Wht is the totl current through this circuit? 9 4.W Ω 00Ω c) Find the voltge cross ech resistor. d) Find the current through ech resistor. Let s use chrt ε= 9 e) The resistor is now removed from the circuit. Stte whether the current through the 00Ω resistor would increse, decrese, or remin the sme. ε= 9 00Ω Ω Totl Ω 00W 00W 0W W y removing resistor from prllel set, we ctully increse the resistnce of the totl circuit. Therefore y Ohm s lw if the voltge remins the sme nd the resistnce increses, the totl current must decrese Now through the 00Ω set, the totl resistnce remins the sme, yet the current decreses, therefore the voltge cross ech resistor decreses s well s the current. 7
REVIEW QUESTIONS. Figure 2.63 For Review Question 2.6. Figure 2.64 For Review Question The reciprocal of resistance is:
EVIEW QUESTIONS 2.1 The reciprocl of resistnce is: () voltge () current (c) conductnce (d) couloms 2.2 An electric heter drws 10 A from 120V line. The resistnce of the heter is: () 1200 () 120 (c) 12
More information(CATALYST GROUP) B"sic Electric"l 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 informationDetermine currents I 1 to I 3 in the circuit of Fig. P2.14. Solution: For the loop containing the 18V source, I 1 = 0.
Prolem.14 Determine currents 1 to 3 in the circuit of Fig. P.14. 1 A 18 V Ω 3 A 1 8 Ω 1 Ω 7 Ω 4 Ω 3 Figure P.14: Circuit for Prolem.14. For the loop contining the 18V source, Hence, 1 = 1.5 A. KCL t node
More informationExperiment 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 informationDirect 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 informationElectronic 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 reversebised, diode idelly ppers s short. F 3 A
More informationMath 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 informationHomework #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& 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 informationStudent 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 informationModule 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 (esson40) 4 40.1 Gols
More informationExperiment 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 informationStudent 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 informationMixed 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 informationExercise 11. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION
Exercise 11 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 informationSynchronous 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 informationRegular languages can be expressed as regular expressions.
Regulr lnguges cn e expressed s regulr expressions. A generl nondeterministic finite utomton (GNFA) is kind of NFA such tht: There is unique strt stte nd is unique ccept stte. Every pir of nodes re connected
More informationNetwork Theorems. Objectives 9.1 INTRODUCTION 9.2 SUPERPOSITION THEOREM
M09_BOYL3605_13_S_C09.indd Pge 359 24/11/14 1:59 PM f403 /204/PH01893/9780133923605_BOYLSTAD/BOYLSTAD_NTRO_CRCUT_ANALYSS13_S_978013... Network Theorems Ojectives Become fmilir with the superposition theorem
More informationApplication Note. Differential Amplifier
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
More informationCS 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 informationREVIEW QUESTIONS. Figure For Review Question Figure For Review Question Figure For Review Question 10.2.
HAPTE 0 Sinusoidl StedyStte 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 information1 tray of toffee 1 bar of toffee. 10 In the decimal number, 0 7, the 7 refers to 7 tenths or
Chpter 3 Deciml Numers Do you know wht DECIMAL is? In chpter, we delt with units, s, 0 s nd 00 s. When you tke single unit nd divide it into (or 0 or 00) its, wht we then hve re deciml frctions of whole
More informationSynchronous 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 information10.4 AREAS AND LENGTHS IN POLAR COORDINATES
65 CHAPTER PARAMETRIC EQUATINS AND PLAR CRDINATES.4 AREAS AND LENGTHS IN PLAR CRDINATES In this section we develop the formul for the re of region whose oundry is given y polr eqution. We need to use the
More informationCompared 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 informationGeometric 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 informationSolutions to exercise 1 in ETS052 Computer Communication
Solutions to exercise in TS52 Computer Communiction 23 Septemer, 23 If it occupies millisecond = 3 seconds, then second is occupied y 3 = 3 its = kps. kps If it occupies 2 microseconds = 2 6 seconds, then
More informationSynchronous 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 informationUniversity of North CarolinaCharlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009
Problem 1: Using DC Mchine University o North CrolinChrlotte Deprtment o Electricl nd Computer Engineering ECGR 4143/5195 Electricl Mchinery Fll 2009 Problem Set 4 Due: Thursdy October 8 Suggested Reding:
More informationPatterns and Algebra
Student Book Series D Mthletis Instnt Workooks Copyright Series D Contents Topi Ptterns nd funtions identifying nd reting ptterns skip ounting ompleting nd desriing ptterns numer ptterns in tles growing
More informationMEASURE 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 information9.4. ; 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 informationTranslate and Classify Conic Sections
TEKS 9.6 A.5.A, A.5.B, A.5.D, A.5.E Trnslte nd Clssif Conic Sections Before You grphed nd wrote equtions of conic sections. Now You will trnslte conic sections. Wh? So ou cn model motion, s in E. 49. Ke
More informationFirst 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 informationc The scaffold pole EL is 8 m long. How far does it extend beyond the line JK?
3 7. 7.2 Trigonometry in three dimensions Questions re trgeted t the grdes indicted The digrm shows the ck of truck used to crry scffold poles. L K G m J F C 0.8 m H E 3 m D 6.5 m Use Pythgors Theorem
More informationSafety Relay Unit. Main contacts Auxiliary contact Number of input channels Rated voltage Model Category. possible 24 VAC/VDC G9SA501.
Sfety Rely Unit The Series Offers Complete Lineup of Compct Units. Four kinds of mm wide Units re ville: A pole model, pole model, nd models with poles nd OFFdely poles, s well s Twohnd ler. Simple
More informationMacroscopic and Microscopic Springs Procedure
Mrosopi nd Mirosopi Springs Proedure OBJECTIVE Purpose In this l you will: investigte the springlike properties of stright wire, disover the strethiness of mteril, independent of the size nd shpe of n
More informationCHAPTER 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 informationThe 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 chrgecontrol techniques commonly used when chrging NiMI
More informationSOLVING 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(1) Nonlinear system
Liner vs. nonliner systems in impednce mesurements I INTRODUCTION Electrochemicl Impednce Spectroscopy (EIS) is n interesting tool devoted to the study of liner systems. However, electrochemicl systems
More informationThreePhase Synchronous Machines The synchronous machine can be used to operate as: 1. Synchronous motors 2. Synchronous generators (Alternator)
ThreePhse 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 informationSection 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 informationDirect Current Circuits
8 Direct Current Circuits CHAPTE OUTLNE 8 Electromotive Force 8 esistors in Series nd Prllel 8 Kirchho s ules 84 C Circuits 85 Electricl Meters 86 Household Wiring nd Electricl Sety ANSWES TO QUESTONS
More informationAlgebra Practice. Dr. Barbara Sandall, Ed.D., and Travis Olson, M.S.
By Dr. Brr Sndll, Ed.D., Dr. Melfried Olson, Ed.D., nd Trvis Olson, M.S. COPYRIGHT 2006 Mrk Twin Medi, Inc. ISBN 9781580377546 Printing No. 404042EB Mrk Twin Medi, Inc., Pulishers Distriuted y CrsonDellos
More informationUnderstanding 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 informationThe 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 informationExperiment 3: NonIdeal Operational Amplifiers
Experiment 3: NonIdel 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 informationMONOCHRONICLE STRAIGHT
UPDATED 092010 HYDROCARBON Hydrocrbon is ponchostyle cowl in bulkyweight 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 informationAlternatingCurrent Circuits
chpter 33 AlterntingCurrent Circuits 33.1 AC Sources 33.2 esistors in n AC Circuit 33.3 Inductors in n AC Circuit 33.4 Cpcitors in n AC Circuit 33.5 The LC Series Circuit 33.6 Power in n AC Circuit 33.7
More informationTriangles and parallelograms of equal area in an ellipse
1 Tringles nd prllelogrms of equl re in n ellipse Roert Buonpstore nd Thoms J Osler Mthemtics Deprtment RownUniversity Glssoro, NJ 0808 USA uonp0@studentsrownedu osler@rownedu Introduction In the pper
More informationChapter 26: Direct current circuit
Chapter 26: Direct current circuit Resistors in circuits Equivalent resistance The nature of the electric potential and current in circuit Kirchhoff s rules (for complicated circuit analysis) Resistors
More informationSection 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 informationLecture 16: Four Quadrant operation of DC Drive (or) TYPE E Four Quadrant chopper Fed Drive: Operation
Lecture 16: Four Qudrnt opertion of DC Drive (or) TYPE E Four Qudrnt chopper Fed Drive: Opertion The rmture current I is either positive or negtive (flow in to or wy from rmture) the rmture voltge is lso
More informationDiscontinued 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 informationEE Controls Lab #2: Implementing StateTransition Logic on a PLC
Objective: EE 44  Controls Lb #2: Implementing Stternsition 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 informationTheme: Don t get mad. Learn mod.
FERURY When 1 is divided by 5, the reminder is. nother wy to sy this is opyright 015 The Ntionl ouncil of Techers of Mthemtics, Inc. www.nctm.org. ll rights reserved. This mteril my not be copied or distributed
More informationExample. 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 informationDigital Design. Sequential Logic Design  Controllers. Copyright 2007 Frank Vahid
Digitl Design Sequentil Logic Design  Controllers Slides to ccompny the tetook Digitl Design, First Edition, y, John Wiley nd Sons Pulishers, 27. http://www.ddvhid.com Copyright 27 Instructors of courses
More informationSequential 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 informationEET 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 informationExperiment 3: NonIdeal Operational Amplifiers
Experiment 3: NonIdel 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 informationAlgorithms for Memory Hierarchies Lecture 14
Algorithms for emory Hierrchies Lecture 4 Lecturer: Nodri Sitchinv Scribe: ichel Hmnn Prllelism nd Cche Obliviousness The combintion of prllelism nd cche obliviousness is n ongoing topic of reserch, in
More informationDataflow Language Model. DataFlow Models. Applications of Dataflow. Dataflow Languages. Kahn process networks. A Kahn Process (1)
The slides contin revisited mterils from: Peter Mrwedel, TU Dortmund Lothr Thiele, ETH Zurich Frnk Vhid, University of liforni, Riverside Dtflow Lnguge Model Drsticlly different wy of looking t computtion:
More informationMOS Transistors. Silicon Lattice
rin n Width W chnnel ptype (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 informationCarbon Composition Resistors
Dimensions Cron Composition Resistors Rtings nd Dimensions Type L Specifiction Limit nd Performnce d D Derting Curve 8 6 4 (/, w) Test procedures, sequence of test, etc., refer to MILSTD D nd JISC5.
More informationMagnetic monopole field exposed by electrons
Mgnetic monopole field exposed y electrons A. Béché, R. Vn Boxem, G. Vn Tendeloo, nd J. Vereeck EMAT, University of Antwerp, Groenenorgerln 171, 22 Antwerp, Belgium Opticl xis Opticl xis Needle Smple Needle
More informationCOMPARISON OF THE EFFECT OF FILTER DESIGNS ON THE TOTAL HARMONIC DISTORTION IN THREEPHASE STANDALONE PHOTOVOLTAIC SYSTEMS
O. 0, NO., NOEMBER 05 ISSN 896608 ARPN Journl of Engineering nd Applied Sciences 00605 Asin Reserch Pulishing Network (ARPN). All rights reserved. www.rpnjournls.com OMPARISON OF THE EFFET OF FITER ESIGNS
More informationPatterns and Relationships
Series Techer Ptterns nd Reltionships opyright 009 3P Lerning. All rights reserved. First edition printed 009 in Austrli. A ctlogue record for this ook is ville from 3P Lerning Ltd. ISBN 97819186034
More informationResistors, Current and Voltage measurements, Ohm s law, Kirchhoff s first and second law. Kirchhoff s first Objectives:
EE 050 Ciruit L Experiment # esistors, Current nd Voltge mesurements, Ohm s lw, Kirhhoff s first nd seond lw. Kirhhoff s first Ojetives: Slmn in Adul Aziz University Eletril Engineering Deprtment. Fmiliriztion
More informationPolar Coordinates. July 30, 2014
Polr Coordintes July 3, 4 Sometimes it is more helpful to look t point in the xyplne not in terms of how fr it is horizontlly nd verticlly (this would men looking t the Crtesin, or rectngulr, coordintes
More informationISSCC 2006 / SESSION 21 / ADVANCED CLOCKING, LOGIC AND SIGNALING TECHNIQUES / 21.5
21.5 A 1.1GHz ChrgeRecovery Logic Visvesh Sthe, JungYing Chueh, Mrios Ppefthymiou University of Michign, Ann Aror, MI Boost Logic is chrgerecovery circuit fmily cple of operting t GHzclss frequencies
More informationDefining the Rational Numbers
MATH10 College Mthemtis  Slide Set 2 1. Rtionl Numers 1. Define the rtionl numers. 2. Redue rtionl numers.. Convert etween mixed numers nd improper frtions. 4. Express rtionl numers s deimls.. Express
More informationA 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 LITHISYEX05/3698SE
More informationINTRODUCTION TO TRIGONOMETRY AND ITS APPLICATIONS
CHAPTER 8 INTRODUCTION TO TRIGONOMETRY AND ITS APPLICATIONS (A) Min Concepts nd Results Trigonometric Rtios of the ngle A in tringle ABC right ngled t B re defined s: sine of A = sin A = side opposite
More informationTUTORIAL 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 informationMultibeam antennas in a broadband wireless access system
Multiem ntenns in rodnd wireless ccess system Ulrik Engström, Mrtin Johnsson, nders Derneryd nd jörn Johnnisson ntenn Reserch Center Ericsson Reserch Ericsson SE4 84 Mölndl Sweden Emil: ulrik.engstrom@ericsson.com,
More informationLab 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 informationAnalysis of circuits containing active elements by using modified T  graphs
Anlsis of circuits contining ctive elements using modified T  grphs DALBO BOLEK *) nd EA BOLKOA**) Deprtment of Telecommunictions *) dioelectronics **) Brno Universit of Technolog Purknov 8, 6 Brno CECH
More informationUnit 8 Combination Circuits
Unit 8 Combination Circuits Objectives: Define a combination circuit. List the rules for parallel circuits. List the rules for series circuits. Solve for combination circuit values. Characteristics There
More informationECE 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 informationKirchhoff s laws. Objectives. Assessment. Assessment. Assessment. Assessment 5/27/14. Apply Kirchhoff s first and second laws.
Kirchhoff s laws Objectives Apply Kirchhoff s first and second laws. Calculate the current and voltage for resistor circuits connected in parallel. Calculate the current and voltage for resistor circuits
More informationREVIEW QUESTIONS TOPIC 5 TRIGONOMETRY I FLUENCY
TOPIC 5 TRIGONOMETRY I REVIEW QUESTIONS FLUENCY The most urte mesure for the length of the third side in the tringle elow is: A 4.83 m B 23.3 m C 3.94 m D 2330 mm E 4826 mm 2 Wht is the vlue of x in this
More informationMAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNELSHAPED NODES
MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNELSHAPED NODES Romn V. Tyshchuk Informtion Systems Deprtment, AMI corportion, Donetsk, Ukrine Emil: rt_science@hotmil.com 1 INTRODUCTION During the considertion
More informationSeven Sisters. Visit for video tutorials
Seven Sisters This imge is from www.quiltstudy.org. Plese visit this website for more informtion on Seven Sisters quilt ptterns. Visit www.blocloc.com for video tutorils 1 The Seven Sisters design cn be
More informationCHAPTER 3 AMPLIFIER DESIGN TECHNIQUES
CHAPTER 3 AMPLIFIER DEIGN TECHNIQUE 3.0 Introduction olidstte microwve mplifiers ply n importnt role in communiction where it hs different pplictions, including low noise, high gin, nd high power mplifiers.
More informationTwolayer slottedwaveguide antenna array with broad reflection/gain bandwidth at millimetrewave frequencies
Twolyer slottedwveguide ntenn rry with rod reflection/gin ndwidth t millimetrewve frequencies S.S. Oh, J.W. Lee, M.S. Song nd Y.S. Kim Astrct: A 24 24 slottedwveguide rry ntenn is presented in
More informationMake 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/lowcost gmes nd puzzles tht you cn esily bring into your
More informationAquauno Select MINUTES. (duration) FREQUENCY LED. OFF 8h AQUAUNO SELECT 5 MIN FREQUENCY. the timer is being programmed;
Aquuno Select Pg. INSTALLATION. Attch the timer to cold wter tp, following these simple instructions. Do not instll the timer in pit or vlve ox, elow ground level or indoors. Do not use the timer with
More informationMATH 118 PROBLEM SET 6
MATH 118 PROBLEM SET 6 WASEEM LUTFI, GABRIEL MATSON, AND AMY PIRCHER Section 1 #16: Show tht if is qudrtic residue modulo m, nd b 1 (mod m, then b is lso qudrtic residue Then rove tht the roduct of the
More informationUnit 1: Chapter 4 Roots & Powers
Unit 1: Chpter 4 Roots & Powers Big Ides Any number tht cn be written s the frction mm, nn 0, where m nd n re integers, is nn rtionl. Eponents cn be used to represent roots nd reciprocls of rtionl numbers.
More informationMesh and Node Equations: More Circuits Containing Dependent Sources
Mesh nd Node Equtions: More Circuits Contining Dependent Sources Introduction The circuits in this set of problems ech contin single dependent source. These circuits cn be nlyzed using mesh eqution or
More informationLecture 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 informationOpen Access A Novel Parallel Currentsharing Control Method of Switch Power Supply
Send Orders for Reprints to reprints@enthmscience.e 170 The Open Electricl & Electronic Engineering Journl, 2014, 8, 170177 Open Access A Novel Prllel Currentshring Control Method of Switch Power Supply
More informationSinusoidal Steady State Analysis
CHAPTER 8 Snusodl Stedy Stte Anlyss 8.1. Generl Approch In the prevous chpter, we hve lerned tht the stedystte response of crcut to snusodl nputs cn e otned y usng phsors. In ths chpter, we present mny
More informationSection 6.1 Law of Sines. Notes. Oblique Triangles  triangles that have no right angles. A c. A is acute. A is obtuse
Setion 6.1 Lw of Sines Notes. Olique Tringles  tringles tht hve no right ngles h is ute h is otuse Lw of Sines  If is tringle with sides,, nd, then sin = sin = sin or sin = sin = sin The miguous se (SS)
More informationModule D1 Introduction to Distribution Systems
D ntroduction to Distriution Systems 30 Module D ntroduction to Distriution Systems Primry Author: Gerld B. Shele, ow Stte University Emil Address: gshele@istte.edu Prerequisite Competencies: Stedy Stte
More informationChapter 2 Literature Review
Chpter 2 Literture Review 2.1 ADDER TOPOLOGIES Mny different dder rchitectures hve een proposed for inry ddition since 1950 s to improve vrious spects of speed, re nd power. Ripple Crry Adder hve the simplest
More informationSection 10.2 Graphing Polar Equations
Section 10.2 Grphing Polr Equtions OBJECTIVE 1: Sketching Equtions of the Form rcos, rsin, r cos r sin c nd Grphs of Polr Equtions of the Form rcos, rsin, r cos r sin c, nd where,, nd c re constnts. The
More information388 SQUARE BASE TIME DELAY RELAYS
3 SQURE SE TIME DELY RELYS "ON" OR "OFF" DELY FUNCTIONS EXTERNL RESISTNCE DJUSTLE ± 3 % REPETILITY DPDT, 2 MP File No. E52 IEC STNDRDS  ND 5 LOW VOLTGE DIRECTIVE IEC = INTERNTIONL ELECTROTECHNICL COMMISSION
More information