# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

24 Pages

### ECE201_13_Jung

Course: ECE 201, Spring 2009
Rating:

Word Count: 873

#### Document Preview

201 ECE Lecture 13 Thevenins and Nortons Theorems Linear Passive Two-Terminal Networks A linear two-terminal network is called passive if it consists of resistors, independent sources, but no dependent sources The v-i characteristic of a linear passive two-terminal network has non-negative slope (Thevenin Theorem) A linear passive two-terminal network is equivalent to an independent voltage source V in series...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Illinois >> Bradley >> ECE 201

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
201 ECE Lecture 13 Thevenins and Nortons Theorems Linear Passive Two-Terminal Networks A linear two-terminal network is called passive if it consists of resistors, independent sources, but no dependent sources The v-i characteristic of a linear passive two-terminal network has non-negative slope (Thevenin Theorem) A linear passive two-terminal network is equivalent to an independent voltage source V in series with a resistance R Exception: v-i characteristic of the passive network has slope Linear passive two-terminal network Thevenin equivalent circuit Norton Theorem (Norton Theorem) A linear passive two-terminal network is equivalent to an independent current source I in parallel with a resistance R Exception: v-i characteristic of the passive network has zero slope Linear passive two-terminal network Norton equivalent circuit From Measured Data: Solve Ri+Vs=V directly Linear resistive network with dependent sources and Fixed independent sources Thevenin equivalent circuit is (mA) 1 2 v (V) 6 10 Advantage of Having Equivalent Circuits Example from the last lecture Norton equivalent circuit When R changes, one has to solve new nodal (mesh) equations While for equivalent circuit, this is much easier. Why Equivalent Circuits? i + Linear Network (Resistors, indep. & dep. Sources) v - Load Want to simplify this part as much as possible Want to analyze v & i for different loads, e.g. maximum power transfer Quick Summary Linear two-terminal networks v-i characteristics are straight lines Linear passive two-terminal networks Consist of resistors and independent sources v-i characteristics are straight lines with nonnegative slope Thevenins and Nortons Theorem for networks with dependent sources (today). Linear Two-Terminal Active Networks A linear two-terminal active network (or simply active network) consists of Resistors Independent sources Dependent sources Resistors, Independent and dependent sources V-I characteristics of active networks are straight lines (still linear system!) May have negative slope Active networks may have v-i characteristic with negative slope Thevenins Theorem for Active Networks (Thevenin Theorem) A linear active two-terminal network is equivalent to an independent voltage source V in series with a resistance R Exception: v-i characteristic of the active network has slope The value of R can be negative Linear active two-terminal network Thevenin equivalent circuit Nortons Theorem for Active Networks (Norton Theorem) A linear active two-terminal network is equivalent to an independent current source I in parallel with a resistance R Exception: v-i characteristic of the active network has zero slope The value of R can be negative Linear active two-terminal network Norton equivalent circuit Determine Thevenin (Norton) Equivalent Circuits Linear two-terminal active network Thevenin equivalent circuit with all independent sources set to zero not easy What is the equivalent resistance? Compute Thevenin Circuits for Active Networks Linear active two-terminal network Leave the two terminals open, compute or measure the open circuit voltage Voc . Linear Then Vs=Voc. active two-terminal network Short circuit the two terminals, compute or measure the short circuit current Isc. Linear active Then R=Voc/Isc. two-terminal network Example VOC Find Voc 1V 0V I SC Find R x = 2 x 2 x = 0 x = 1V i1 = VOC = x 1 = 1V Thevenin equivalent circuit i2 = 2 x = 2 A R= VOC 2 = I SC 3 I SC x = 0.5 A 2 3 = i2 i1 = A 2 0V Norton equivalent circuit VS = 1V 2 R= 3 IS = VOC VS 3 = R2 2 3 R= Negative Resistance? VOC VOC VS = 1V R= 2 3 Thevenin equivalent circuit Negative Resistance? R : Consumes power! -R : Generates (delivers) power!!! IS = VS R Power consumed by R : Power delivered : VS2 P = VS I S = R VS2 P = ( VS ) I S = R Energy convervation R Power delivered to battery? / consumed by battery? IS = VS 1 VS 2 R R VS 1 3.3V VS 2 1.5V Negative Resistance? R : Consumes power! -R : Generates (delivers) power!!! IS = VS R Power consumed by R : Power delivered : VS2 P = VS I S = R VS2 P = ( VS ) I S = R Negative Negative R Negative Resistance? R : Consumes power! -R : Generates (delivers) power!!! IS = VS R Power consumed by R : Power delivered : VS2 P = VS I S = R VS2 P = ( VS ) I S = R Negative Negative R I -R I Solar cell or Photo diode Sell power back to energy company. Computing Thevenin (Norton) Circuits by Brute Force Linear active two-terminal network Use an independent voltage source to impose v between the two terminals Calculate i by using nodal (mesh) analysis i must be of the form i=cv+d for some constants c,d so Compare with Thevenin circuit: v=Ri +vs R=1/c, vs=-d/c Similar to the way we calculate equivalent resistance! Example (Same as previous one) Norton equivalent circuit Compare with Norton circuit: Computing Thevenin (Norton) Circuits by Brute Force (II) Linear active two-terminal network Use an independent current source to inject current i into the network Calculate v by using nodal (mesh) analysis v must be of the form v=ai +b for some constants a,b Compare with Thevenin circuit: v=Ri +vs Compare and get R=a, vs=b Similar to the way we calculate equivalent resistance! Example + - Thevenin equivalent circuit compared with Alternatively + - A B C Write equations for nodal voltages VA, VB, VC Write I as a linear function of vs using nodal or mesh analysis + - Special Case If a linear active two-terminal network contains no independent sources, then its Thevenin (Norton) equivalent circuit is a single resistor! Resistors, and dependent sources R could be negative!
Textbooks related to the document above:
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

ECE 201 Lecture 17Inductor/Capacitor combinationsAnnouncementsLast Two Lectures: Introduced L and CInductance and Inductors Capacitance and CapacitorsLecture 17: We absorb L and C into circuits.KCL, KVL for L, C circuits L and C combinations Unit st
ECE 201 Lecture 18 First-order circuits: zero input responseAnnouncementsLast Lecture, #17:KCL, KVL for L, C circuits L and C combinationsThis Lecture #18:Source-free first-order linear circuitsFirst Order Circuits Circuits containing resistor, ind
AnnouncementsECE 201 Lecture 21 Discontinuity and Waveform GenerationLast Lecture #20:Response classification and LinearityThis Lecture #21:Discontinuity and Waveform generationImportant Formula of 1st Order CircuitsThe currents and voltages in a 1
ECE 201 Lecture 40Final Exam Calculator is allowed. No formula sheet is allowed -Basic formulas will be provided.Tips for the Final Review homework problems TAs do a good job explaining how to solve homework problems in detail. If you are comfortable i
University of San Diego - ENGL - 300
CODE OF ETHICS FOR PROFESSIONAL ACCOUNTANTS IN THE PHILIPPINESCONTENTSPREFACE PART A: GENERAL APPLICATION OF THE CODE 100 110 120 130 140 150 Introduction and Fundamental Principles Integrity Objectivity Professional Competence and Due Care Confidential
McCann School of Business and Technology - ACC - 212
HarisKuljancic 947 3/31/2011UnitsSales Price TotalSalesWoodruffManufacturing SalesBudget ForTheQuarterending January February March April Total 40,000 50,000 60,000 60,000 210,000 180 180 180 180 180 7,200,000 9,000,000 10,800,000 10,800,000 37,800,000
McCann School of Business and Technology - ACC - 212
931 April 468000*.30 May 514000*.30+327600 June 514000*.70+520000*.30 937140400 481800 515800Salesinunits DesiredEndingInventory Totalneeds Less:beginninginventory Unitstobeproduced 942Jimisoninc. ProductionBudget FortheFirstQuarter January Fabruary Ma
Kansas - ENGR - 301
Amherst - MNG - 500
a) 1. Gross profit rate: \$1,025 \$566 = \$459 \$459 \$1,025 = 44.8% 2. Revenue is recorded when earned or after; the sales effort is complete, revenues can be measured, collection is reasonably assured, and material expenses can be determined and matchedCash
Amherst - MNG - 500
Module 4 ccc8 Allen Brown The problems with Johns Suggestions are: (1) The cash could be stolen (2) John could cover the theft due to a lack of accountability (3) If stored in a single place such as a laptop the information could easily be lost if the com
Amherst - MNG - 500
Module 4 Continuing Cookie Chronicle Ch. 7 Allen Brown The Problems with Johns Recommendations could be: The cash could be stolen John could steal from the company and then cover up the theft in the books The information on Johns laptop would be venerable
Amherst - MNG - 500
Module 5 Allen Brown 10/30/10 CCC9- Includes DQ responses.(a) August 31st Website: 1500 Cash: 1500 Simple journal entry that shows the upgrade performed to the website. (b) Monthly amortization 600/24=25 Accumulated amortization 9x25=25 This shows how mu
Amherst - MNG - 500
Module 6 CCC 10 &amp; 11 Allen Brown CCC 10 (A &amp; B &amp; C) Interest Expense= 2000x9%x2.5/12=38 Investment Expenses= 2000x9%x9.5/12=143 Interest payable= 2000x9%x7/12=105 Journal Entry for Aug 31 Aug 31 interest expense (105) Interest Payable 105Journal Entry fo
Amherst - MNG - 500
1. Curtis Dad and Natalies grandmother are interested in investing \$5,000 each in the new business venture. Curtis and Natalie are considering issuing them preferred shares. What would be the advantage of issuing them preferred stock instead of common? Th
Amherst - MNG - 500
Allen Brown Module 7 CCC 12 (A) Cash Flow: Operations Net Income Adjustments Cash Provided: Depreciation Loss on Sales Accounts Receivable Inventory Prepaid Expense Accounts Payable Taxes Salaries Interest Net Cash Provided Cash Flow: Investing Sales of C
Amherst - MNG - 500
Module One Allen Brown Accounting 250 Continuing Cookie Chronicle After investigating the different forms of business organization, Natalie Koebel decides to operate her business as a corporation, Cookie Creations Inc., and she begins the process of getti
Amherst - MNG - 500
(a)1. The mixers should be classified as inventory as Natalie will attempt to resale them. 2. A perpetual inventory system will provide better control over inventory because you are dealing with high-value items you should use this system. 3. You still n
Amherst - MNG - 500
(a)1. The mixers should be classified as inventory as Natalie will attempt to resale them. 2. A perpetual inventory system will provide better control over inventory because you are dealing with high-value items you should use this system. 3. You still n
Amherst - MNG - 500
(a) COST OF GOODS AVAILABLE FOR SALE Explanation Units Unit Cost Total Cost Beginning 3 \$545.00 \$1,635.00 Inventory Purchase 2 550.00 1,100.00 1 2 3 11 567.00 561.00 573.33 567.00 1,122.00 1,720.00 \$6,144.00Date Feb. 1 Feb. 2 Mar. Purchase 2 Apr. 1 Purch
Amherst - MNG - 500
Prokaryotes and Eukaryotes1Running Head: Prokaryotes and EukaryotesAllen Brown BIO 100 Biology Concepts Module 2 Assignment 11/04/2009Prokaryotes and Eukaryotes2Prokaryotes are single-celled organisms, such as bacteria, and are roughly one micromete
Amherst - MNG - 500
Collaborative Learning Community: Mendelian Genetics Though data are collected by individuals, the group is responsible for submitting a single lab report. Members of a group who do not post their data to the CLC group page and do not contribute to the di
Amherst - MNG - 500
Title: Diffusion Purpose: The diffusion lab was designed to allow us, as students, to see how at different temperatures water molecules increase and decrease the rate in which they move. Procedure: i) Materials (1) Three large containers, such as pitchers
Amherst - MNG - 500
ENVIRONMENTAL FACTORS THAT AFFECT PLANT GROWTHMG Manual Reference Ch. 1, pp. 30 - 33Plant growth and distribution are limited by the environment. If any one environmental factor is less than ideal it will become a limiting factor in plant growth. Limiti
Amherst - MNG - 500
Key aspects of fundraising: 1. Consider the cost- If you decide to make it a public fundraising event, think about cost,sponsorship, and participation. An example would be a car wash, which is a very common fundraiser for youth groups and clubs. Cost wou
Amherst - MNG - 500
LabAssignments Assignments1) Individual: Individual: Photosynthesis Lab a) The purpose of this laboratory exercise is to test the impact of light of different wavelengths on a plants ability to survive. This laboratory exercise requires preparation and s
Amherst - MNG - 500
Title: Osmosis Purpose: The Osmosis Lab was designed to allow us, as students, to view the transferring energy of molecules; by a raisin or grape increasing or decreasing in size depending on a strictly water solution or a water and salt mixed solution sh
Amherst - MNG - 500
Title: Diffusion Purpose: The diffusion lab was designed to allow us, as students, to see how at different temperatures water molecules increase and decrease the rate in which they move. Procedure: i) Materials (1) Three large containers, such as pitchers
Amherst - MNG - 500
Module 4 Concept Exercise: Solving Linear Equations and Inequalities ii) A bike shop rents mountain bikes for a \$8.50 insurance charge plus \$3.50 for each hour. For how many hours can a person rent a bike with \$32.50. (1) Part A: Solve the above problem u
Amherst - MNG - 500
Delacroix1Running Head: DelacroixModule 6: Liberty Leading the People Allen Brown UNV 200 Grand Canyon University August 8th 2009Delacroix2Ferdinand Victor Eugene Delacroix (1798-1863), a French painter of romantic period known for his exuberant col
Amherst - MNG - 500
Title: Osmosis Purpose: The Osmosis Lab was designed to allow us, as students, to view the transferring energy of molecules; by a raisin or grape increasing or decreasing in size depending on a strictly water solution or a water and salt mixed solution sh
Amherst - MNG - 500
WILLIAM LLOYD GARRISON Running head: WILLIAM LLOYD GARRISON1Allen Brown February 19th 2010 HIS 103 American History Pre 1877WILLIAM LLOYD GARRISON William Lloyd Garrison You must be the change you want to see in your life. (About.com) This quote, from
Amherst - MNG - 500
Title: 1) Photosynthesis Lab 2) 3) Purpose: 4) 5) The purpose of this laboratory exercise is to test the impact of light of different wavelengths on a plants ability to survive. 6) 7) Procedure: 8) a) Materials 1. Clear, red, green, and blue transparent p
Amherst - MNG - 500
The Jurassic Zoo charges \$28.00 for each adult admission and \$12.00 for each child. The total bill for 254 people from a school trip was \$3864.00. How many adults and how many children went to the zoo?28.00x+12.00y=3864.00 28.00(51)+12.00(203)=3864.00 51
Amherst - MNG - 500
MODULE ONERunning Head: MODULE ONE1Allen Brown Ethical and Legal Issues in Business BUS-340 Module One Exercise May 01, 2010MODULE ONE 1) Pringle v. Valdez (Chapter 1, Statutory Interpretation 1.)Brief: History On appeal, the court of appeals affirme
Amherst - MNG - 500
Module 21Running Head:Module 2Allen Brown Ethical and Legal Issues in Business BUS-340 Module Two Exercise May 05, 2010Module 2 1) Explorica Inc. v. EF Cultural Travel (Chapter 5, Question 9.) By definition A preliminary injunction is a court order m
Amherst - MNG - 500
Module 31Running Head: Module 3Allen Brown Ethical and Legal Issues in Business BUS-340 Module Three Exercise May 05, 2010Module 321) Stephen Gall v. McKeesport Municipal Utility (Chapter 9, Problem 9.) The Galls complaint should not be dismissed. U
Amherst - MNG - 500
M odule 41Running Head: Module 4Allen Brown Ethical and Legal Issues in Business BUS-340 Module Four Exercise May 19, 20101) Gianni Sport v. Gantos- [(Unconscionability) Chapter 15, Problem 10.]By definition Unconscionability is a contract is unconsc
Amherst - MNG - 500
Module 4: Topic and Objectives Illegality, Necessity of Writing, Rights of Third Parties, and Remedies for BreachesApply the requirements of Article 2 of the UCC to contracts for the sale of goods in commerce. Determine the legality of a contract clause.
Amherst - MNG - 500
Amherst - MNG - 500
Ethical Elements of Marketing There are many ethical norms and practiced values which marketers attempt to practice as a principle in the marketing world. Accordingto the AMA, American Marketers Association, there are three principle norms in which marke
Amherst - MNG - 500
Employee Monitoring Employee Monitoring1Allen Brown Ethical and Legal Issues in Business BUS-340 Module Seven Exercise June 11, 2010Employee Monitoring Employee Monitoring It is important for an employer to know that their employees are doing a good jo
Amherst - MNG - 500
Accounting Ethics1Running Head: Accounting EthicsAllen Brown Ethical and Legal Issues in Business BUS-340 Module Eight Exercise June 18th 2010Accounting Ethics With the growth and development of personal computers, or PCs, and software the fields of a
Amherst - MNG - 500
DQ 1: Due by ThursdayHowaretheFederalDistrictCourts,theFederalCourtsofAppeal,andtheU.S.SupremeCourtdifferent?How aretheysimilar?Whatroledothevariouscourtsplayinmakingorinterpretinglawthatappliestobusinesses, employeesofthosefirms,andforresolvingorprevent
Amherst - MNG - 500
DQ #1 Due by Thursday Can an individual enter into a contract without being aware of it and still be bound by its terms? Why or why not? Cite an example of a voidable and nonvoidable contract. A contract would not be enforceable if a person entered one un
Amherst - MNG - 500
Do you think supporting non-competition clauses in employment agreements is good public policy? Why or why not? Provide an example that supports your position. In some cases non-competitive clauses protect both the employer and the employee. Non-competiti
Amherst - MNG - 500
How is ethics and ethical behavior apparent in corporate culture? What is the relationship between law, values, and ethical behavior? How do these work in unison to ensure business success? Are there times when law, values, and ethical behavior may not wo
Amherst - MNG - 500
Thursday Why has marketing continuously been a focus of concern in regard to both the legal and ethical representation of companies? Do you think this concern is warranted? Why or why not?Companies want to be marketed in a way which truly represents the
Amherst - MNG - 500
What are the implications of conflicts of interest and how do they impact corporations? Using the Sarbanes-Oxley Act of 2002, give an example of a potential conflict of interest that could arise in business, and your recommendation for how that conflict o
Amherst - MNG - 500
DQ #1 Due by Thursday When an employee learns of apparent illegal conduct by his/her employer, does the employee have an ethical duty to become a whistleblower? Why or why not? How should a company regulate ethical conduct within the organization? I belie
Amherst - MNG - 500
Amherst - MNG - 500
Give an example of one government employee law that you think people may take advantage of and how people take advantage of it. I believe that the most abused employee law is workers compensation because both sides take advantages and cut corners. The two
Amherst - MNG - 500
MGT420 ORGANIZATIONAL BEHAVIOR AND MANAGEMENT CLC: GROUP PROJECT AGREEMENTCLC Course Information Course Name/Section Number: MGT420 Organizational Behavior and Management Justin Barclay Instructors Name: June 21, 2010 Start Date of the Course: CLC Member
Amherst - MNG - 500
Ethical Marketing Running Head: Ethical Marketing1Allen Brown Ethical and Legal Issues in Business BUS-340 Module Six Exercise June 05, 2010Ethical Marketing Ethical Elements of Marketing2There are many ethical norms and practiced values which market
Amherst - MNG - 500
Individual: Reading Genes Refer to the following nucleic acid: 5- ATGCTATCATTGACCTTGAGTTATTAA 3 1) Is this a strand of DNA or RNA? How do you know?It is DNA since there is thymine (T) not uracil (U) in the sequence 2) If DNA, what is the complementary st
Amherst - MNG - 500
Native American Culture Running Head: Native American Culture1Allen Brown January 9, 2010 Native American CultureNative American Culture2Historians believe that Native Americans came to this continent around, anywhere from 12,000 to 60,000 years ago.
Amherst - MNG - 500
Cortez1Running Head: CortezAllen Brown History Pre 1877 January 17th 2010Cortez2Before the Spaniards came to Mexico there were many premonitions which casted a vision of the coming disaster, these visions were not enough to prevent the impending ove
Amherst - MNG - 500
Colonies1Running head: ColoniesAllen Brown January 23, 2010 Religions Affect on ColoniesColonies2American colonies developed in order to escape the tyranny in which the people were facing under the rule of a God appointed king. In England the king w
Amherst - MNG - 500
Revolution1Running head: RevolutionAllen Brown January 28th 2010 HIS 103 US History Pre 1877Revolution Causes of a Revolution2The Seven Years War was fought mainly on the European continent between Great Britain and France. The battles foughtin Nor
Amherst - MNG - 500
Parliament Acts1Running head: Parliament ActsAllen Brown January 27th 2010 History 103 American History Pre 1877Parliament Acts Road to the Revolution After the Seven Years War the British were in a bad way, suffering financially from the great econom
Amherst - MNG - 500
A r t icles of the Confederation1Running Head: Articles of the ConfederationAllen Brown February 3rd 2010 History 103 US History Pre 1877Articles of the Confederation In Witness whereof we have hereunto set our hands in Congress, done at Philadelphia
Amherst - MNG - 500
Federalist and Republicans Running Head: Federalist and Republicans1Allen Brown February 5th 2010 HIS 103 US History Pre 1877Federalist and Republicans Federalist and Republicans The differences between Thomas Jefferson, founder of the Republican Party