Source Transformation

Slides:

Advertisements

Similar presentations

Voltage and Current Division

Advertisements

Discussion D2.5 Sections 2-9, 2-11

Lecture 11 Thévenin’s Theorem Norton’s Theorem and examples

EGR 2201 Unit 6 Theorems: Thevenin’s, Norton’s, Maximum Power Transfer

AVE = 81. Review: the resistor HW4 up – due monday.

Lecture 5 Source Transformation Thevenin Equivalent Circuit Norton Equivalent Circuit.

Lecture 131 Maximum Power Transfer (4.4) Prof. Phillips February 28, 2003.

Lecture 101 Equivalence/Linearity (4.1); Superposition (4.2) Prof. Phillips February 20, 2003.

Circuit Theorems and Conversions

Ideal sources vs. realistic sources Open circuit voltage, V oc Short circuit current, I sc I - V relationship Source transformation Lecture 7. Realistic.

Lecture 3a, Prof. WhiteEE 42/100, Spring EE 42/100 Discussion sections SectionDay/TimeRoomGSI Dis101M 3-4pm241 CoryLiu, Vincent Dis102W 4-5pm241.

Network Theorems SUPERPOSITION THEOREM THÉVENIN’S THEOREM

Alexander-Sadiku Fundamentals of Electric Circuits

Lecture 6, Slide 1EECS40, Fall 2004Prof. White Lecture #6 OUTLINE Complete Mesh Analysis Example(s) Superposition Thévenin and Norton equivalent circuits.

Circuits Series and Parallel. Series Circuits Example: A 6.00 Ω resistor and a 3.00 Ω resistor are connected in series with a 12.0 V battery. Determine.

Lecture - 7 Circuit Theorems

Electrical Systems 100 Lecture 3 (Network Theorems) Dr Kelvin.

Objective of Lecture Explain mathematically how resistors in series are combined and their equivalent resistance. Chapter 2.5 Explain mathematically how.

Thévenin’s and Norton’s Theorems

Basic Electrical Circuits & Machines (EE-107) Course Teacher Shaheena Noor Assistant Professor Computer Engineering Department Sir Syed University of Engineering.

Basic Theory of Circuits, SJTU

ECEN 301Discussion #9 – Equivalent Circuits1 Equivalence - Equality Mosiah 29: Therefore they relinquished their desires for a king, and became exceedingly.

1 AGBell – EECT by Andrew G. Bell (260) Lecture 7.

Chapter 9 Network Theorems.

Anuroop Gaddam. An ideal voltage source plots a vertical line on the VI characteristic as shown for the ideal 6.0 V source. Actual voltage sources include.

Chapter 8 Principles of Electric Circuits, Electron Flow, 9 th ed. Floyd © 2010 Pearson Higher Education, Upper Saddle River, NJ All Rights Reserved.

Block A Unit 3 outline One port network Two port network

PARALLEL CIRCUITS HAVE MORE THAN ONE POSSIBLE PATHWAY FOR ELECTRONS.

Chapter 1 Introduction to Electronics

Circuit Theorems. Quiz 1. The source resistance from a 1.50 V D-cell is 1.5 . The voltage that appears across a 75  load will be a V b V.

EE2010 Fundamentals of Electric Circuits

MAXIMUM POWER TRANSFER THEOREM

Norton’s Theorem and Maximum Power Transfer Theorem Lecture No.7 By – Engr Sajid Hussain Qazi Lecturer Mehran University C.E.T Khairpur.

1 Summary of Circuits Theory. 2 Voltage and Current Sources Ideal Voltage Source It provides an output voltage v s which is independent of the current.

Fundamentals of Electric Circuits Chapter 4

MALVINO Electronic PRINCIPLES SIXTH EDITION. Chapter 1 Introduction.

Thevenin and Norton “Equivalent” Circuits

THEVENIN'S THEOREM Lecture 18

– Introduction  This chapter introduces important fundamental theorems of network analysis. They are the  Superposition theorem  Thévenin’s theorem.

Electric Circuit Types Series and Parallel Circuits.

When current is flowing in an ordinary metal wire, the magnitude of the average velocity of the electrons is closest to A) 1 m/s. B) 1 km/s. C) 10 m/s.

ABE425 Engineering Measurement Systems Circuit Analysis Dr. Tony E. Grift Dept. of Agricultural & Biological Engineering University of Illinois.

Objective of Lecture State Thévenin’s and Norton Theorems. Chapter 4.5 and 4.6 Fundamentals of Electric Circuits Demonstrate how Thévenin’s and Norton.

Chapter 19 Principles of Electric Circuits, Conventional Flow, 9 th ed. Floyd © 2010 Pearson Higher Education, Upper Saddle River, NJ All Rights.

1 Alexander-Sadiku Fundamentals of Electric Circuits Chapter 4 Circuit Theorems Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction.

Techniques of Circuit Analysis

Fall 2001ENGR-201 Maximum Power Transfer 1 Maximum Power Transfer If a load resistor R L is connected to a linear circuit, what value of R L results in.

Example 4.10 Finding the Thevenin equivalent of a circuit with a dependent source.

Circuit Theorems 1.  Introduction  Linearity property  Superposition  Source transformations  Thevenin’s theorem  Norton’s theorem  Maximum power.

Chapter 1 Introduction to Electronics

Chapter 3 Resistive Network Analysis Electrical Engineering/GIEE

Techniques of Circuit Analysis

SuperpositionTheorem

Thevenin Theorem Any combination of batteries and resistances with two terminals can be replaced by a single voltage source e and a single series resistor.

CIRCUIT THEOREMS & conversions

Thevenin and Norton “Equivalent” Circuits

Thevenin and Norton “Equivalent” Circuits

Thevenin and Norton Equivalents

Source Transformation

The Theorems we will look at are:

Comparing Series and Parallel Circuits

Network Theorems Presented by- Dr. Kakade K.P Rayat Shikshan Sanstha’s

Thevenin and Norton “Equivalent” Circuits

Series and Parallel Circuits

Circuit Theorems.

Example Example 1: An electric lamp is rated 110 W, 200 V. When the lamp is operated at its rated power and voltage, calculate a) the current flowing through.

Presentation transcript:

Source Transformation Basis for Thevenin and Norton Equivalent Circuits

Objective of Lecture Describe the differences between ideal and real voltage and current sources Demonstrate how a real voltage source and real current source are equivalent so one source can be replaced by the other in a circuit. Chapter 4.4 Fundamentals of Electric Circuits

Voltage Sources Ideal Real An ideal voltage source has no internal resistance. It can produce as much current as is needed to provide power to the rest of the circuit. A real voltage sources is modeled as an ideal voltage source in series with a resistor. There are limits to the current and output voltage from the source.

Limitations of Real Voltage Source IL VL RL Real Voltage Source

Voltage Source Limitations (con’t) RL = 0W RL = ∞W

Current Sources Ideal Real An ideal current source has no internal resistance. It can produce as much voltage as is needed to provide power to the rest of the circuit. A real current sources is modeled as an ideal current source in parallel with a resistor. Limitations on the maximum voltage and current.

Limitations of Real Current Source Appear as the resistance of the load on the source approaches Rs. IL RL VL Real Current Source

Current Source Limitations (con’t) RL = 0W RL = ∞W

Electronic Response For a real voltage source, what is the voltage across the load resistor when Rs = RL? For a real current source, what is the current through the load resistor when Rs = RL?

Equivalence An equivalent circuit is one in which the i-v characteristics are identical to that of the original circuit. The magnitude and sign of the voltage and current at a particular measurement point are the same in the two circuits.

IL and VL in the left circuit = IL and VL on the left Equivalent Circuits RL in both circuits must be identical. IL and VL in the left circuit = IL and VL on the left IL IL 1 VL RL VL RL 2 Real Voltage Source Real Current Source

Example #1 Find an equivalent current source to replace Vs and Rs in the circuit below. IL RL VL

Example #1 (con’t) Find IL and VL. IL RL VL

Example #1 (con’t) There are an infinite number of equivalent circuits that contain a current source. If, in parallel with the current source, Rs = ∞W Rs is an open circuit, which means that the current source is ideal. IL VL RL

Example #1 (con’t) If RS = 20kW

Example #1 (con’t) If RS = 6kW

Example #1 (con’t) If RS = 3kW

Example #1 (con’t) Current and power that the ideal current source needs to generate in order to supply the same current and voltage to a load increases as RS decreases. Note: Rs can not be equal to 0W. The power dissipated by RL is 50% of the power generated by the ideal current source when RS = RL.

Example #2 Find an equivalent voltage source to replace Is and Rs in the circuit below.

Example #2 (con’t) Find IL and VL.

Example #2 (con’t) There are an infinite number of equivalent circuits that contain a voltage source. If, in series with the voltage source, Rs = 0W Rs is a short circuit, which means that the voltage source is ideal.

Example #2 (con’t) If RS = 50W

Example #2 (con’t) If RS = 300W

Example #2 (con’t) If RS = 1kW

Example #2 (con’t) Voltage and power that the ideal voltage source needs to supply to the circuit increases as RS increases. Rs can not be equal to ∞W. The power dissipated by RL is 50% of the power generated by the ideal voltage source when RS = RL.

Summary An equivalent circuit is a circuit where the voltage across and the current flowing through a load RL are identical. As the shunt resistor in a real current source decreases in magnitude, the current produced by the ideal current source must increase. As the series resistor in a real voltage source increases in magnitude, the voltage produced by the ideal voltage source must increase. The power dissipated by RL is 50% of the power produced by the ideal source when RL = RS.