The Series-Parallel Network Chapter 07Complex circuitsMay be separated both series and/or parallel elementsCombinations which are neither series nor parallel To analyze a circuitIdentify elements in series and elements in parallel Series-ParallelCircuitsSource:C-CTsaiFor example:R2, R3, and R4 are in parallel,Series with R1 and R5RT R1 (R2//R3//R4) R5Circuit Analysis: Theory and Practice Delmar Cengage LearningC-C TsaiThe Series-Parallel NetworkAnalysis of Series-Parallel CircuitsIn this circuit: R3 and R4 are in parallel Combination is in series with R2 Entire combination is in parallelwith R1Another example:C-C Tsai23Rules for analyzing series and parallel circuits apply: Same current occurs through all series elements Same voltage occurs across all parallel elements KVL and KCL apply for all circuitsSteps to simplify a circuit: Redraw complicated circuits showing the source at theleft-hand side and then label all nodes Simplify recognizable combinations of components Determine equivalent resistance RT and solve for thetotal current Label polarities of voltage drops on all components Calculate how currents and voltages split betweenelements in a circuit Verify your answer by taking a different approach4C-C Tsai1
Example: Analysis of Series-Parallel Circuits Example: Analysis of Series-Parallel CircuitsCombining R2 and R3 in parallelCircuit reduces to a series circuitUse Voltage Divider Rule to determine Vab and Vbc.Note that Vbc V2 is the voltage across R2 and R3Calculate all currents from Ohm’s Law.C-C TsaiFind the voltage Vab Redraw circuit in simple form Determined by combination of voltages across R1and R2 , or R3 and R4 (use voltage divider rule)5Example: Analysis of Series-Parallel CircuitsFind currents in the circuit First redraw the circuit and move source branch all the wayto left and reduce circuit to a series circuit Voltages: Use Ohm’s Law or Voltage Divider Rule Currents: Use Ohm’s Law or Current Divider RuleC-C Tsai7C-C Tsai6Example: Analysis of Series-Parallel CircuitsFind VabC-C Tsai82
Example: Bridge CircuitExample: Analysis of Series-Parallel CircuitsFind VabC-C Tsai 9Determine Vab and I if Rx is a short circuit (0 )Vab Va - Vb 8V – 0V 8VI 10 / [(50 200) // 5k] 10 / 238 42.2mAC-C TsaiBridge CircuitExample: Bridge Circuit Determine Vab and I if circuit has Rx 15 k Vab Va - Vb 8V – 7.5V 0.5VI 10 / [(50 200) // (5k 15k)] 10/247 40.5mAC-C Tsai10 11Determine Vab and I if Rx is openVab Va - Vb 8V – 10V -2VI 10 / (50 200) 10 / 250 40mAC-C Tsai123
*Transistor CircuitPotentiometersTransistor is a device that amplifies a signal Operating point of a transistor circuit is determined by adc voltage source Determine some dc voltages and currents Apply KVL: VBB RBIB VBE REIE Using IE 100IB, we find IB 14.3 A.C-C Tsai 13Potentiometers C-C Tsai14Load Effects of InstrumentsVbc changes Example of variable resistor used as potentiometerMoveable terminal is at uppermost positionthen Vbc 60 VAt the lowermost positionthen Vbc 0 VActual valueVR1 27V * 5M/(5M 10M) 9VIf load is added to circuit at upper positionthen Vbc 40 VAt the lower positionthen Vbc 0 VReading valueVR1 27V * 3.3M/(3.3M 10M) 6.75VLoading effect (9 - 6.75) / 9 25%C-C Tsai15C-C Tsai164
Example: Load Effects of InstrumentsExample: Load Effects of InstrumentsActual valueVR2 27V * 10M/(5M 10M) 18VI1 4mAI2 20mAIT 24mAReading valueVR2 27V * 5M/(5M 5M) 13.5VLoading effect (18 - 13.5) / 18 25%C-C Tsai17C-C TsaiGet RT Using MultisimCircuit Analysis Using MultisimUse Multisim to find the following quantities for thecircuit showna) Total resistance, RTb) Voltages V2 and V4c) Currents IT, I1, and I2C-C Tsai18 19Construct the circuit for determining the totalresistance RTC-C Tsai205
Get Voltages and currents UsingMultisimKernel abilities1. Can recognize which parts are in series or parallelfor a series-parallel circuit.2. Can compute the total resistance Rt of resistorsR1 Rn in series-parallel.3. Can recognize KVL and KCL for applying a seriesparallel circuit.4. Can recognize the voltage divider and current dividerfor applying a series-parallel circuit.5. Can recognize the loading effect for measuringvoltage and current.C-C Tsai2122Problem 35: Find EProblem 10: Find Rab and RbcC-C TsaiC-C Tsai23C-C Tsai246
Problem 37: Find the reading of ammeterC-C Tsai257
The Series-Parallel Network In this circuit: R 3 and R 4 are in parallel Combination is in series with R 2 Entire combination is in parallel with R 1 Another example: C-C Tsai 4 Analysis of Series-Parallel Circuits Rules for analyzing series and parallel circuits apply: Same current occurs through all series elements
Contemporary Electric Circuits, 2nd ed., Prentice-Hall, 2008 Class Notes Ch. 9 Page 1 Strangeway, Petersen, Gassert, and Lokken CHAPTER 9 Series–Parallel Analysis of AC Circuits Chapter Outline 9.1 AC Series Circuits 9.2 AC Parallel Circuits 9.3 AC Series–Parallel Circuits 9.4 Analysis of Multiple-Source AC Circuits Using Superposition 9.1 AC SERIES CIRCUITS
Overview of Series-Parallel Circuits A series-parallel circuit, or combination circuit, combines both series and parallel connections. Most electronic circuits fall into this category. Series-parallel circuits are typically used when different voltage and current values are required from the same voltage source. Series components form a series .
Part One: Heir of Ash Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 Chapter 13 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 18 Chapter 19 Chapter 20 Chapter 21 Chapter 22 Chapter 23 Chapter 24 Chapter 25 Chapter 26 Chapter 27 Chapter 28 Chapter 29 Chapter 30 .
Series and Parallel Circuits Basics 3 5) Click the advanced tab and alter the resistivity of the wire. Record your observations. Click the reset button to begin working on a parallel circuit. Parallel Circuits 6) Parallel circuits provide more than one path for electrons to move. Sketch a parallel circuit that includes
Lab Experiment 7 Series-Parallel Circuits and In-circuit resistance measurement Series-Parallel Circuits Most practical circuits in electronics are made up combinations of both series and parallel circuits. These circuits are made up of all sorts of components such as resistors, capacitors, inductors, diodes, transistors and integrated circuits.
Lesson 1: DC Series Circuits 1-1 Practice Exercise 1-29 Answer Key and Feedback 1-34 Lesson 2: Series-Parallel Circuits 2-1 Part A: Series Circuits Connected in Parallel 2-2 Part B: Parallel Circuits Connected in Series 2-15 IT0334 ii
Series-Parallel Circuits If we combined a series circuit with a parallel circuit we produce a Series-Parallel circuit. R1 and R2 are in parallel and R3 is in series with R1 ǁ R2. The double lines between R1 and R2 is a symbol for parallel. We need to calculate R1 ǁ R2 first before adding R3.
circuits, all the current flows through one path. In parallel circuits, current can flow through two or more paths. Investigations for Chapter 9 In this Investigation, you will compare how two kinds of circuits work by building and observing series and parallel circuits. You will explore an application of these circuits by wiring two switches .
Holiday Light Series and Parallel Circuits Lesson Focus Demonstrate and discuss simple circuits and the differences between parallel and serial circuit design and functions. Lesson Synopsis The series and parallel circuits’ activity encourages students to test two different circuit designs through the use of low voltage light bulbs.
SERIES-PARALLEL DC CIRCUITS OBJECTIVES 1. Test the theoretical analysis of series-parallel networks through direct measurements. 2. Improve skills of identifying series or parallel elements. 3. Measure properly the voltages and currents of a series-parallel network. 4. Practice applying Kirchhoff’s voltage and current laws, the current divider
Activity 1b - Introduction to Series & Parallel Circuits In this lab, we will consider two ways of connecting circuit elements: series and parallel . For both series and parallel circuits, one can change the order of sub-circuit components (e.g., a lightbulb or a resistor) without changing what the circuit does.
DEDICATION PART ONE Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 PART TWO Chapter 12 Chapter 13 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 18 Chapter 19 Chapter 20 Chapter 21 Chapter 22 Chapter 23 .
E1.1 Analysis of Circuits (2017-10110) Resistor Circuits: 2 – 5 / 13 Series: Components that are connected in a chain so that the same current ﬂows through each one are said to be in series. Series and Parallel 2: Resistor Circuits Kirchoff’s Voltage Law Kirchoff’s Current Law KCL Example Series and Parallel Dividers Equivalent Resistance: Series Equivalent .
Received December 2015. Volume 8, Number 4, 2015 TEACHING RLC PARALLEL CIRCUITS IN HIGH-SCHOOL PHYSICS CLASS Alpár Simon Abstract: This paper will try to give an alternative treatment of the subject "parallel RLC circuits" and "resonance in parallel RLC circuits" from the Physics curricula for the XIth grade from Romanian high-schools,
DC Circuits . Part 3. Combination Circuits. We have learned about the series circuit and the parallel circuit. Both circuits can be examined by the use of Ohm’s Law. Let’s now combine the two circuits to build a more complex circuit. This type of circuit will be called a series/parallel circuit or a combination circuit. Ohm’s Law
Series-parallel DC circuits This worksheet and all related ﬁles are licensed under the Creative Commons Attribution License, . In circuits where ground symbols appear, consider ground as the other side of the power source. . In this series-parallel circuit, resistors R1 and R2 are in series with each other, but resistor R3 is neither .
Simply put, in a parallel circuit current increases but the voltage stays the same, and in a series circuit current stays the same but the voltage decreases. Contents 1 Series circuits 1.1 Current 1.2 Resistors 1.3 Inductors 1.4 Capacitors 1.5 Switches 1.6 Cells and batteries Series and parallel circuits -
Lab Activity 3 Series & Parallel Circuits with Solderless Boards Fall 2017 2 Lab3_ET150.docx Introduction Electronics circuits are comprised of combinations of series and parallel systems. Series circuits have all parts connected in a row. There is only one path for current to travel through the circuit.
Circuit Lab Parallel and Series Circuits . You are going to build 2 series circuits, 2 parallel circuits and one combination circuit and measure the current through and voltage across each resistor. . parallel with each other and in series with a 24Ω resistor.
Textbook of Algae , O. P. Sharma, Jan 1, 1986, Algae, 396 pages. Aimed to meet requirements of undergraduate students of botany. This book covers topics such as: evolution of sex and sexuality in algae; and, pigments in algae with their. An Introduction to Phycology , G. R. South, A. Whittick, Jul 8, 2009, Science, 352 pages. This text presents the subject using a systems approach and is .