/Type /XObject (�� (�� (�� (�� (�� (�� stream (�� (�� (�� Another group of network theorems that are mostly used in the circuit analysis process includes the Compensation theorem, Substitution theorem, Reciprocity theorem, Millman’s theorem, and Miller’s theorem. D.1. 5 For detailed Notes visit: www.eedofdit.weebly.com Prepared by: Nafees Ahmed →If excitation is a current source 2 Above network is reciprocal if 1 1 2 2 I V I V = Compensation Theorem: Consider a linear circuit with a voltage source “V” and its internal impedance Z Th (Thevenin’s Equivalent impedance) delivering a current “I” to an impedance “Z” as (�� (�� (�� (�� Pan 22. << (�� (�� (�� (�� DISCUSSION (�� (�� Maximum Modulus Theorem, Properties of Hurwitz Polynomials, The Computation of Residues, Even and Odd functions, Sturm’s Theorem, An alternative Test for Positive real functions. (�� (�� (�� $4�%�&'()*56789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz�������������������������������������������������������������������������� ? (�� (�� x�+T0�3T0 A(��˥d��^�U�`bli�gd7124Գ0W0�3760�F�F� �� � } !1AQa"q2���#B��R��$3br� Included are the superposition, Thévenin’s, Norton’s, maximum power transfer, substitution, Millman’s, and reciprocity theorems. (�� (�� %&'()*456789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz��������������������������������������������������������������������������� (�� (�� (�� D.1(b), part A of the network has been replaced by its Thevenin´ equivalent: a voltage source V (�� (�� (�� (�� (�� A circuit must have a closed energized path. (�� (�� (�� (�� This guide will introduce the important fundamental theorems of network analysis. (�� (�� (�� (�� (�� /Length 598 D.C network Theorems and Application of D.C Network Theorem Important and fundamental theorems of circuit theory have been listed here. (�� (�� (�� (�� /ExtGState << %PDF-1.5 (�� (�� T-Network 3. (�� >>>> (�� T o study an application of the theorem . (�� >>/XObject << (�� (�� Anyone who’s studied geometry should be familiar with the concept of a theorem: a relatively simple rule used to solve a problem, ... As with any theorem of geometry or algebra, these network theorems are derived from fundamental rules. (�� (�� 2.1. (�� (�� x��VKo�0��W�(���e�6m��Э�=䡤�b�q]�췏��G���!� 'R�G��(�b�i� ��L%��]M�7���zqp�g6*�4UD�R� ������6x� /���N�LJ�N��z}���Z�oNN�x�Z�D���}-N�����y��H��#�q�nx (�� (�� (�� 3-2 EXPERIMENT 3 NETWORK THEOREMS OBJECTIVE When you complete this experiment, you will have verified the superposition theorem as applied to multiple-source DC circuits. (�� (�� (�� T-Network) but every circuit is a network. <> 4.7 Thevenin’s Theorem C.T. INTRODUCTION: Any complicated network i.e. (�� If the network has no dependent sources: - Turn off all independent source. (�� (�� (�� /Width 1831 (�� (�� %PDF-1.4 (�� /BitsPerComponent 8 (�� A source of angular frequency 1 rad/sec has source impedance consisting of 1 Ω resistance in series with 1 H inductance. (�� (�� (�� (�� (�� However, for a linear relationship, such as that between the voltage and current of the fixed-type 6- resistor, super-position can be applied, as demonstrated by the graph of Fig. Network theorems are also can be termed as network reduction techniques. (�� There are certain network theorems, which when applied to the solutions of electric networks, either simplify the network … (�� 1. (�� If an impedance Z L is connected across a voltage source V with source impedance ZS’ then for maximum power transfer, the load impedance must be equal to (a) source impedance Z S (b) complex conjugate of Z S (c) real part of Z … (�� (�� (�� stream (�� The advantage of the theorem is when a circuit has already been analysed for one solution, it may theorem. (�� Case 2: If the network has depend.Sources. /BBox [0 0 440 422] (�� (�� (�� /ColorSpace /DeviceRGB (�� (�� (�� You will verify your results with a multimeter. (�� x��\I�� .�q�������KCs_�C*N�R)UY�rR�i${6-#E�#�������7��������>� Z/΄x����7_>p����zx����t�b㙊�M/������!t�����醳��3W189�`���������V1/�U��d��i|�I3�l똇�a�l{`��J���[�L�����Tr#��˭g�H�_M��V�. (�� /Height 1755 (�� (�� (�� (�� (�� �� � w !1AQaq"2�B���� #3R�br� (�� (�� (�� 326 ⏐⏐⏐ NETWORK THEOREMS Obviously, x y z, or 24 W 216 W 384 W, and superposi-tion does not hold. Depend. The first theorem to be introduced is the superposition theorem, followed by Thévenin’s theorem, Norton’s theorem, and the maximum power transfer theorem. 9��VA�n2�!�8x �lC���H��g�`R>fB����MB�Cͫ���m�����Y��55)�k��'�> �d��k��7e&c���޴��'F�*��ù7�[�U{�}\���i����]I�}rH?Н�A��rt�o=�;�v�T`�+Er�$c/�sO�r�>/�э`�����M��F̍*�/[͞�"���e�I���tN�ڭ (�� (�� (�� (�� (�� (�� (�� (�� Network graphs & matrices – Terminology used in network graph, Formation of Incidence Matrix, Reduced Incidence Matrix. (�� In fact, the application of each theorem to ac networks is very similar in content to that found in this chapter. (�� (�� (�� (�� (�� (�� ���� Adobe d �� C Network Theorems (Thevenin's, Superposition, Maximum Power Transfer etc...) - Topicwise GATE Questions on Network Theory (from 2003)) 2003 1. (�� (�� Network or Circuit: “Path followed by an electric current.” Or “Any interconnection of circuit elements with or without energy sources.” Note:- 1. Network Theorems Network Theorems (ac)Waveforms SUPERPOSITION THEOREM One of the most frequent applications of the superposition theorem is to electronic systems in which the dc and ac analyses are treated separately and the total solution is the sum of the two. (�� Network Theorems: Network Theorem, Norton`s Theorem, Superposition Theorem, Maximum Power, Transfer Theorem, Millman`s Theorem, Substitution Theorem, Compensation Theorem, Tellegen`s Theorem. (�� - RTH : input resistance of the network looking into a-b terminals 4.7 Thevenin’s Theorem C.T. /R8 27 0 R theorems using network properties and give examples of our results. (�� Network analysis. (�� (�� (�� (�� (�� (�� (�� (�� (�� Let us see some important theorems with DC and AC excitation with detailed procedures. (�� Network Theorems – Professor J R Lucas 7 November 2007 similarly for the new circuit, current I2 = 0.294 A 170 40 2000 20 20 20 160 20//20 100 = × = + × + It is seen that the identical current has appeared verifying the reciprocality theorem. (�� (�� (�� I SC is the short-circuit current between the terminals of the network and Z TH is (�� (�� (�� several sources, multiple resistors are present if the single element response is desired then use the network theorems. (�� sources are not to … Electric Circuits and Network Theorems There are certain theorems, which when applied to the solutions of electric networks, wither simplify the network itself or render their analytical solution very easy. (�� /Filter /FlateDecode (�� (�� (�� (�� (�� (�� NETWORK THEOREMS VIJAYA COLLEGE Page 4 To show that the maximum power transfer efficiency of a circuit is 50%: The power across the load ( ) 2 2 L L L2 L E P IR R R r = = +----- (1) From the maximum power transfer theorem, P L is maximum when R r L =. (�� (�� (�� T o understand Thevenin’s theorem and simplify electrical networks into simple equiv al ent circuits using the theorem. You will also have examined both the Thévenin and Norton theorems, the maximum power transfer condition, and learnt about the practical workings of adjustable resistances, namely the potentiometer and rheostat. (�� Network theorems are also can be termed as network reduction techniques. (�� Module-VI DRIVING-POINT SYNTHESIS WITH LC ELEMENTS: Elementary Synthesis Operations, LC Network Synthesis, RC and RL networks. (�� Superposition Theorem statement The theorem states: “In a network with two or more sources, the current or voltage for any component is the algebraic sum of … (�� (�� .�\�@ ��8 (�� (�� >> (�� %���� (�� ��(�� (�� (�� (�� (�� (�� (�� /PTEX.FileName (./iit_logo.pdf) (�� (�� Network Theorems 3 4 Norton’s Theorem Norton’s theorem says that the linear network consisting of one or more independent sources and linear elements can be represented by a current source I SC and an equivalent impedance Z TH in parallel with the current source. (�� @�R�7>�&�����2^�����7[��6"2���7B1 ��~���2n�p�g0�ˣ�[ˌr*w9(T��I�|�L�����)�fH����qS{���0�� (�� (�� (�� (�� /Subtype /Image (�� /Length 68 (�� (�� (�� >> (�� (�� (�� Network Theorems (Part II)-MCQs 1. (�� (�� (�� (�� ��g6i�����n4H���h�s~|�h� (�� (�� (�� (�� (�� Thevenin’s theorem R 1 R 2 R 3 R V I 0 L A C B V 1 2 V 0 How is V related to the circuit parameters? /R7 26 0 R (�� (�� Each and every theorem got its importance of solving network. (�� %�쏢 (�� 2. (�� (�� 9.15, (�� : �N��- (�� (�� Academia.edu is a platform for academics to share research papers. (�� /FormType 1 (�� (�� (�� (�� (�� (�� Let us see some important theorems with DC and AC excitation with detailed procedures. (�� (�� Write KCL equation at each node, taking current leaving the node as positive. (�� (�� endstream We will consider a number of areas of application for each. (�� (�� These fundamental theorems include the basic theorems like Superposition theorem, Tellegen’s theorem, Norton’s theorem, Maximum power transfer theorem, and Thevenin’s theorems. �A`�i�o�[��;��b7��g�;5�KrA�AZ��z��>Oc���� ��ㄓw�*�,��^�yז��׫���-�U�LR%Ļ�L�E9�|R�te��Y7L��r�j����Sݬ��[@��j�z������O��������»�IӇ{"͝�^��%�w��uN&XWN&E���ʼn]y? 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(�� (�� Acknowledgements 5 0 obj (�� (�� (�� Putting this condition in equation (1), ( ) 2 2 (�� (�� $, !$4.763.22:ASF:=N>22HbINVX]^]8EfmeZlS[]Y�� C**Y;2;YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY�� �'" �� (�� (�� endobj Norton’s Theorem Similar to Thévenin circuit Any linear bilateral network cab be reduced to a two-terminal circuit with a single current source in parallel with a single resistor I N is Norton equivalent current R N = R Th, equivalent resistance C-C Tsai 18 Norton’s Theorem Steps to … /Resources << (�� (�� (�� (�� (�� (�� (�� (�� In general, the theorem can be used to do the following: •Analyze networks with sources that are not in series or parallel. (�� In Fig. (�� theorems appear again in the analysis of ac networks. (�� (�� (�� (�� (�� The chapter concludes endstream /Filter /DCTDecode (�� (�� (�� Figure D.1(a) shows a network divided into two parts, A and B. R Th is the input resistance of the network looking btw terminals a &b. (�� (�� (�� (�� (�� (�� (�� (�� (�� (�� (�� So every network may not be circuit (i.e. Chapter 10 - DC Network Analysis PDF Version. Feb 04, 2021 - Chapter - Network Theorems, PPT, DC Circuits, Semester, Engineering Electronics and Communication Engineering (ECE) Notes | EduRev is made by best teachers of Electronics and Communication Engineering (ECE). /Length 186186 Source. /Subtype /Form endobj (�� /PTEX.PageNumber 1 This document is highly rated by Electronics and Communication Engineering (ECE) students and has been viewed 1411 times. (�� (�� DC Network Theorems Unit 1 – DC Network Theorems 6 Exercise 2 – Circuit Board Operation EXERCISE OBJECTIVE When you have completed this exercise, you will be able to connect the various circuit blocks on the circuit board by using the KIRCHHOFF'S CURRENT LAW circuit block as an example. (�� A network may not have a closed path i.e. Let G1 1=R1, etc. (�� (�� (�� (�� (�� (�� (�� 15 0 obj << Network analysis techniques. Furthermore, we use network analysis techniques such as community detection, spanning trees, betweenness centralities, and diameter of the network to nd the most important theorems in our network. /PTEX.InfoDict 25 0 R (�� (�� (�� (�� /Filter /FlateDecode 27 0 obj It is an important (�� (�� (�� stream (�� (�� (�� The next theorem to be introduced, Thévenin’s theorem, is probably one of the most interesting in that it permits the reduction of complex networks to a simpler form for analysis and design. (�� (�� (�� 1 1 5.4 Thevenin’s Theorem (2) To find R Th: Case 1: If the network has no dependent sources, we turn off all indep. (�� (�� (�� Each and every theorem got its importance of solving network. (�O�%�Cx"�H�I'~x��^M/�5��^� ݌\�9. 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