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.
security rules for protecting EU classified information, certain provisions in this guide are still based on Commission Decision 2001/844. In the absence of new guidelines they should continue to be applied. Under the new security rules, all classification markings must now be written in FR/EN format (e.g. RESTREINT UE/EU RESTRICTED). EU grants: H2020 Guidance — Guidelines for the .