Nortons theorem states that any linear circuit containing several energy. Any two terminal network consisting of resistors, fixed. From the above figure, the nortons source current is equal to 14a which is used in the nortons equivalent circuit as shown in the below figure. Steps to analyze electric circuit through thevenins theorem. Nortons theorem dc network analysis electronics textbook. In circuit theory, thevenins theorem for linear electrical. Any twoterminal network consisting of resistors, fixed. Thevenins theorem will be useful when we need to find voltage or current for a specific element in a complex circuit. Thevenins theorem solved example stepbystep thevenins theorem is used to determine current through or voltage across any element in a network without going through the regorous method of solving a set of network equations. In each case, it is simpler not to use superposition if the dependent sources remain active. Also pdf version of the solution is available here fig. Nortons theorem states that any linear complex electrical circuit can be reduced into a simple electric circuit with one current and resistance connected in parallel.
Now, we should find an equivalent circuit that contains only an independent voltage source in series with a resistor, as shown in fig. A few examples are presented after this page to illustrate the use of thevenins theorem. Following points may be noted dependent sources are voltage or current sources whose output is function of another parameter in the circuit. In the article nortons theorem example with solution we had solved various kind of problem regarding nortons theorem.
Norton theorem is then applicable in the given problem provided r 1. A complex twoterminal circuit can be replaced by an equivalent circuit consisting of a voltage source. Superposition examples the following examples illustrate the proper use of superposition of dependent sources. The current source being the shortcircuited current across the load terminal and the resistance being the. Norton equivalent circuits nortons theorem statement. Norton on the other hand reduces his circuit down to a single resistance in parallel with a constant current source.
Equation 1 in the diagaram expresses an external voltage v y connected to the load term inals, as a function of current i y and some constants. An equivalent voltage equal to the opencircuit voltage at the terminals of the original network, and an internal resistance equal to the resistance looking back into. Thevenin theorem with solved examples in hindi beee series. Use nortons theorem for analysis of dc circuits and study the advantage of this. Norton source current inorton and norton resistance rnorton. Nortons thereom is identical to thevenins theorem except that no compromise keith green pdf the. Easy step by step procedure with example pictorial views this is another useful theorem to analyze electric circuits like thevenins theorem, which reduces linear, active circuits and complex networks into a simple equivalent circuit. Ill sorry in advance for the triviality, but im doing a basic course at.
Anant agarwal and jeffrey lang, course materials for 6. Sometimes changing the thevenin equivalent circuit to norton equivalent circuit or norton equivalent circuit to thevenin equivalent circuit can be solved more easily. Q1 find the norton s equivalent circuit across ab terminals for the circuit shown in figure 14. In fact, the application of each theorem to ac networks is very similar in content to that found in this chapter. Nortons theorem is a powerful tool for solving electrical circuits. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. Any linear electric network or complex circuit with current and voltage sources can be replaced by an equivalent circuit containing of a single independent voltage source vth and a series resistance rth. Nortons thereom is identical to thevenins theorem except that the equivalent circuit is an.
Find the norton source current by removing the load resistor from the original circuit and calculating the current through a short wire jumping across the. Powerful pedagogical tools for treating special cases of electric circuits article pdf available in international journal of electrical engineering education 404. The different problems pertaining to notons theorem are discussed here. Find io in the circuit using source transformation. While solving these example we are assuming that you have knowledge of nortons theorem. For understanding in depth regarding norton theory, let us consider nortons. Thevenins, nortons, and maximum power transfer theorems. A pdf sheet of this problem with the solution and side space for notes can be downloaded below.
These similarities lead one to ask if it is possible to interchange one practical source for the other and. Thevenins and nortons theorems in the context of dc voltage. The problems considered in this set are involving both dependent and independent sources. Thevenin theorem and norton theorem are two important techniques for complex circuit solutions. Easy step by step procedure with example pictorial views nortons theorem may be stated under. The french engineer leon charles thevenin 18571927 stated the principle of this equivalence as a theorem. Find nortons equivalent circuit to the left of terminal xy in figure 6. Nortons theorem equivalent circuit consists of the norton current source inorton in parallel with nortons equivalent resistance rnorton and load here r22ohms. Mathematically analyze the circuit, solving for all values of voltage, current, etc. As with thevenins theorem, everything in the original circuit except the load resistance has been reduced to an equivalent circuit that is simpler to analyze. Norton theorem in hindi solved problem 1 electrical engineering duration.
Then find the current through rl 6, 16, and 36 example 4. Nortons theorem example with solution electronics tutorials. Source transformation example problems with solutions. Set v 0 1 v to excite the circuit, and then to find i 0. Thevenin theorem, thevenins theorem solution example. Thevenin and norton equivalents, maximum power transfer dr. Any twoterminal network of fixed resistances and voltage sources may be replaced by a single voltage source that has.
Also similar to thevenins theorem are the steps used in nortons theorem to calculate the. Nortons theorem nortons theorem states that a linear active network consisting of independent or dependent voltage source and current sources and the various circuit elements can be substituted by an equivalent circuit consisting of a current source in parallel with a resistance. Superposition states that the voltage across or current through an element in a linear circuit is the algebraic sum of the voltage across or currents through that element due to each independent source acting alone. The current flowing through the short circuited terminals is called the norton s curren i n.
The main difference between thevenins theorem and nortons theorem is that, thevenins theorem provides an equivalent voltage source and. Thevenin norton equivalents and maximum power transfer. Nortons theorem for linear electrical networks, known in europe as the mayernorton theorem, states that any collection of voltage sources, current sources, and resistors with two terminals is electrically equivalent to an. The text says to try to solve it with the norton equivalent circuit too. In the development of practical voltage sources and current sources, many similarities should have been noticed such as internal resistance, voltage, and current characteristics. Thevenins theorem states that we can replace entire network by an equivalent circuit that contains only an independent voltage source in series with an impedance resistor such that the currentvoltage relationship at the load is unchanged.
This theorem is named thevenins theorem on the name of a scientist thevenin, he fist apply this theorem to the analysis of a circuit. We stated then that for a circuit to be linear it meant that 1 the. Where i n is the shortcircuit current through the terminals load resistor and r n is equivalent resistance at the terminals when all the independent sources are turned off. We have followed the convention that current leaving a node is positive. By using this theorem we can reduce the complexity of any circuit network and can simplify if only two criteria fulfilled 1st the network is linear and 2nd is bilateral. Therefore, usually, a maximum power transfer problem is another form of thevenin equivalent circuit derivation problem.
Thevenins, nortons, and maximum power transfer theorems this. Thevenins and nortons equivalent circuits solved problems. Nortons theorem states that it is possible to simplify any linear circuit, no matter how complex, to an equivalent circuit with just a single current source and parallel resistance connected to a load. Nortons theorem solved problems solved problems on nortons theorem q1 find the nortons equivalent circuit across ab. Nortons theorem says that a linear twoterminal electric circuit may be exchanged with a norton equivalent circuit consisting of a current source, i n, in parallel with a norton resistor r n.
Network theorems part i numerical problems key points. Nortons theorem maximum power transfer theorem supernode circuit analysis. Like thevenins theorem, it simplifies the circuit one needs to study and dramatically reduces potential calculation errors nortons theorem states that networks with voltage and current sources, as well as resistors are electrically equivalent to one single current source and one single resistor in parallel with the. Thevenins theorem for dc circuits with solved examples. Since its open circuit and there is no current going through r 1. Norton equivalent is simply the source transformation of the. Chapter 5 nortons equivalent circuit a a circuit partitioned into two parts. Mustafa kemal uyguroglu thevenins theorem zany circuit with sources dependent andor independent and resistors can be replaced by an equivalent circuit containing a single voltage source and a. Thevenins theorem states that any linear electrically complex circuit is reduced into a simple electric circuit with one voltage and resistance connected in series. In this post, you will learn the statement of thevenins theorem, thevenins theorem for dc circuits with solved examples, applications, and limitations. From the circuit shown below determine the current through the 10 resistor using a thevenin s theorem, and b norton s theorem. For understanding in depth regarding thevenins theorem let us consider thevenins theorem examples as. Kirchho s laws 4 a v v 6 v 3 2 i 5 v 0 v i 0 5 r i 4 6 3 i 3 v 4 i 2 2 r 1 v 1 i 1 a b c e d kirchho s current law kcl.
Thevenins theorem thevenin equivalent circuit solved. Thevenin theorem is useful in finding the maximum power a linear circuit can deliver to a load. Nortons theorem is a network reduction electrical network analysis technique which can be used to analyse the current through a branch in complex network of linear electronic components. Take for example these measurements, under loaded and noload conditions. Nortons theorem solved problems solved problems on nortons theorem q1 find the nortons equivalent circuit. To find the equivalent, the norton current i no is calculated as the current flowing at the terminals into a short circuit zero resistance between a and b. All superposition equations are written by inspection using voltage division, current division, seriesparallel combinations, and ohms law. Nortons theorem is a way to reduce a network to an equivalent circuit composed of a single current source, parallel resistance, and parallel load.
Worked examples, chapter 4 164 a a with the 10 resistor removed the circuit is as below. Superposition theorem in chapter 2, we briefly addressed the issue of a linear circuit. A b 9v 6v since the batteries are in series aiding, then ee e rr r e r. Thevenins theorem states that we can replace entire network by an equivalent circuit that.
731 668 968 1514 769 1619 1408 1471 1391 1509 296 460 254 1059 1043 492 298 428 726 291 1313 440 1117 919 1133 766 159 434 1183 106 934 144 371 47 1142 895 655