Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Size: px
Start display at page:

Download "Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:"

Transcription

1 Serial : CH_EE_B_Network Theory_098 Delhi Noida Bhopal Hyderabad Jaipur Lucknow ndore Pune Bhubaneswar Kolkata Patna Web: info@madeeasy.in Ph: 0-56 CLASS TEST 08-9 ELECTCAL ENGNEENG Subject : Network Theory Date of test : /09/08 Answer Key. (b) 7. (a). (d) 9. (c) 5. (b). (c) 8. (a). (a) 0. (d) 6. (b). (c) 9. (d) 5. (b). (b) 7. (b). (c) 0. (c) 6. (b). (c) 8. (d) 5. (b). (b) 7. (a). (a) 9. (a) 6. (a). (b) 8. (c). (b) 0. (b)

2 8 Electrical Engineering Detailed Explanations. (b) The equation of line passing through origin is y m x V V y y t x x Vm t T0 V V m t T the instantaneous power for 0 t T 0 is p(t ) 0 Vmt T 0 0 t < 0.5T T t < T 0 0 P avg, observing that the fundamental period is T 0, we have P avg P avg 0.5T0 Vm t dt T 0 0 T0 V m T 0 V m t 0 0 T. (c) V C f f 0 V L V c vs () for f < f 0 V c > V L Since, lead source voltage if f < f 0 Hence V also leads source voltage. V L. (c) f C f 0 f L f β b a C V Applying KVL in loop β ( a c ) c ( a c ) (β c ) Comparing this with standard equation β c

3 CT-08 EE Network Theory 9. (c) At ω 0 i.e. s 0 X L 0, X C There is no connection between input and output. so, V 0 At ω i.e. s X L, X C 0 Then also, there is no connection between input and output. so, V 0 Band pass filter 5. (b) At t 0 v c (0 ) v c (0 ) 0 short circuited i L (0 ) i L (0 ) 0 open circuited 0 Ω 0 Ω 50 V Applying KVL A 6. (a) 0 Non zero V α α 0 Here should be independent and V should be dependent with these conditions only parameters are possible. 7. (a) Below resonating frequency, X C > X L Current leads the applied voltage. 8. (a) The graph for the network can be drawn as Number of nodes n 5 Number of branches b 8 Minimum number of equations required b n (d) i(t) / e t (s) s s s ( s) Cs

4 0 Electrical Engineering from here, C F; (s) Ω s Cs C Cs 0. (c) Degree of each node in a fully connected graph is n.. (b) edrawing the circuit j j j 8 j 6 j j Bridge is balanced and circuit can be redrawn as eq Ω 8 Ω 5 Ω j Ω j Ω j6 Ω j5 Ω j Ω Ω 8 Ω eq j Ω j 6 Ω j Ω j Ω eq ( j j) (8 j6 j ) 6 j Ω 5 5. (b) These are networks connected in series for this network a a ( ) a ( ) a 5 a 5 Ω 5 Ω V a ( ) a ( ) a 5 ( ) b ( ) b /s /s s s b b ( ) b ( ) b s b s V b

5 CT-08 EE Network Theory so, parameter matrix for series combination is a b s s s s s s s s s s s s. (d) edrawing the circuit Ω i x A i x 8 Ω V b Ω V a A 0i x Ω 0 Ω 50 V i x Applying KVL i x 8(i x ) i x 50 i x A Voltage across Ω resistor V a V b V Power dissipated in Ω (0) 00 W. (a) i i C i 5 u(t) C i i C 5( e t /τ ) A 5 e t/τ A At t t i i C 5( e t /τ ) A 5 e t /τ A / e t τ τ log e () sec 5. (b) Short circuiting V and redrawing the circuit t

6 Electrical Engineering V 0 V 0( 0.5 ) Y 0. V 5 V Ω 0 Ω Y 0.6 V 5 6. (b) The circuit can be represented as A.5 A A 00 Ω emaining Network 9.5 A Applying KCL at node A Total current entering at node A Total current leaving node A A 7. (a) At t 0 E 0 Ω H A At t 0 i(0 ) 6 A i(0 ) i(0 ) 6 A i H i B E

7 CT-08 EE Network Theory d i E dt i 0 At t 0 Equation (i) becomes E i(6) 0...(ii) At t i B...(i) E E 8...(iii) From equation (ii) and (iii) 0.5 Ω 8. (c) From the characteristic V(Volts) (Ampere) 80 0 Open circuit 0 8 Short circuit V oc sc Network 80 V 8 A A V AB 0 B SC Th Ω Maximum power that can be transferred is Th V Th (80) 0 60 W 9. (c) h h V h h V h V V 0 Short circuiting the port

8 Electrical Engineering v x 8 Ω 6 Ω v y Ω v y 0vx 8 Ω v x Ω v x Ω v x / v x /6 v x Ω 6 Ω v y 0v x 8 v x v y v x Applying KCL v y 0v x v x v 0 x vx vx 7 v x Applying KVL at port v y v x 7 h 6.8 Ω 0. (d) For current to be in phase with applied voltage imaginary part of impedance should be zero. edrawing the circuit jxl jxl eq jxc jxc ( jx ) ( ) L jxc eq j XC j XC jxl jx L C ( C ) jx jx X C

9 CT-08 EE Network Theory 5 equating imaginary part to zero X L C XC X 0 X C XL ( XC) X L C XC X. (b) edrawing the circuit 0 0 j 5 Ω Ω j j5 Ω B Applying Mesh Law Mesh j5 j 0 0 (5 j5) ( j) (i) Mesh j5 j 0 (6 j 5) ( j) 0...(ii) From equations (i) and (ii) V Th V AB () Ω A. (c) at t 0, the circuit will be Ω applying KVL A 5 at t 0 the circuit will be V C Volts 0V Ω C V C Ω V a H i L (0 ) i L (0 ) 0 A V a 7. V V a d i i dt 0 V Ω V i H

10 6 Electrical Engineering at t 0, i d i dt di dt.6 A/s. (a) B Fundamental loop matrix is always written in the form B [ : B T] dentity Matrix Q l [B T ] T and Q [Q l : ] Loop matrix with respect to given tree Q L T Q (b) edrawing the circuit Ω V 0. V () () s s 0 () s V () s 5. s 5. s 5. s Applying KVL in loop (s) (s) 0. V (s).5s V (s) 0 ( s).5 s 5. s 5. s...(i) 5 s ( s) V (s).5 s From equations (i) and (ii) nput admittance ( s) 5. s V( s) 6s...(ii)

11 CT-08 EE Network Theory 7 5. (b) At t 0 Ω v c 0 V v c 5 Ω 0 v c...(i) from here 5 v c 0...(ii) for t 0 Applying KCL v c 0 V 0 V Ω V 0 V0 V0 V0 5 V eq 0 v c (t) ve 0 t/ eqc V 0 5 Ω 0 t e 0.5t e Volts 6. (b) 6 0 V V V oc 0 Ω 0 Ω 6 V 0 Ω 0 V V oc sc 0 A 0 Th V oc sc 0 0 Ω 0 Ω 0 V sc

12 8 Electrical Engineering P max oc ( V ) W Th 7. (b) Ω V j Ω L V 0 0 V L j Ω V L V 0 By Nodal Analysis V V V V j j L 0 L L 0 V j 0 VL 0...(i) By equation (i) and (ii) V V j 0 L 0 V L V j 0.5 Ω For power transfer to be maximum L 0 L 0.5 j0.5 Ω 8. (d) From the first circuit 6 V 0 i 6 i...() From the second circuit, Power across 0 Ω 90 W. i L 0 90 i L 9 A. V a.5 Ω 5 Ω Ω V 0 6 Ω 6V a 5 Ω 0 Ω i i 6 Va i L i 6Va Hence 6V a 6 V a i L 6 A V

13 CT-08 EE Network Theory 9 From the figure, V a i i So, i A From equation () V 0 i V 9. (a) From the given figure. V The above equations can be rearranged as ( ) ( )... (i) V ( ) ( ) ( )... (ii) generator equivalent is ( ) V 0. (b) Under steady state V C L 5A Ω 0 L 5 V C L 0 Energy stored in capacitor Energy stored in inductor CV c L L or 5 Ω 0 0

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : ND_EE_NW_Analog Electronics_05088 Delhi Noida Bhopal Hyderabad Jaipur Lucknow ndore Pune Bhubaneswar Kolkata Patna Web: E-mail: info@madeeasy.in Ph: 0-4546 CLASS TEST 08-9 ELECTCAL ENGNEENG Subject

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : LS_N_A_Network Theory_098 Delhi Noida Bhopal Hyderabad Jaipur Lucknow ndore Pune Bhubanewar Kolkata Patna Web: E-mail: info@madeeay.in Ph: 0-4546 CLASS TEST 08-9 NSTRUMENTATON ENGNEERNG Subject

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : LS_B_EC_Network Theory_0098 CLASS TEST (GATE) Delhi Noida Bhopal Hyderabad Jaipur Lucknow ndore Pune Bhubanewar Kolkata Patna Web: E-mail: info@madeeay.in Ph: 0-4546 CLASS TEST 08-9 ELECTRONCS

More information

Chapter 10 AC Analysis Using Phasors

Chapter 10 AC Analysis Using Phasors Chapter 10 AC Analysis Using Phasors 10.1 Introduction We would like to use our linear circuit theorems (Nodal analysis, Mesh analysis, Thevenin and Norton equivalent circuits, Superposition, etc.) to

More information

Sinusoidal Steady State Analysis (AC Analysis) Part I

Sinusoidal Steady State Analysis (AC Analysis) Part I Sinusoidal Steady State Analysis (AC Analysis) Part I Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/

More information

Sinusoidal Steady State Analysis (AC Analysis) Part II

Sinusoidal Steady State Analysis (AC Analysis) Part II Sinusoidal Steady State Analysis (AC Analysis) Part II Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/

More information

ELECTRONICS E # 1 FUNDAMENTALS 2/2/2011

ELECTRONICS E # 1 FUNDAMENTALS 2/2/2011 FE Review 1 ELECTRONICS E # 1 FUNDAMENTALS Electric Charge 2 In an electric circuit it there is a conservation of charge. The net electric charge is constant. There are positive and negative charges. Like

More information

Basics of Network Theory (Part-I)

Basics of Network Theory (Part-I) Basics of Network Theory (PartI). A square waveform as shown in figure is applied across mh ideal inductor. The current through the inductor is a. wave of peak amplitude. V 0 0.5 t (m sec) [Gate 987: Marks]

More information

Solution: Based on the slope of q(t): 20 A for 0 t 1 s dt = 0 for 3 t 4 s. 20 A for 4 t 5 s 0 for t 5 s 20 C. t (s) 20 C. i (A) Fig. P1.

Solution: Based on the slope of q(t): 20 A for 0 t 1 s dt = 0 for 3 t 4 s. 20 A for 4 t 5 s 0 for t 5 s 20 C. t (s) 20 C. i (A) Fig. P1. Problem 1.24 The plot in Fig. P1.24 displays the cumulative charge q(t) that has entered a certain device up to time t. Sketch a plot of the corresponding current i(t). q 20 C 0 1 2 3 4 5 t (s) 20 C Figure

More information

Network Graphs and Tellegen s Theorem

Network Graphs and Tellegen s Theorem Networ Graphs and Tellegen s Theorem The concepts of a graph Cut sets and Kirchhoff s current laws Loops and Kirchhoff s voltage laws Tellegen s Theorem The concepts of a graph The analysis of a complex

More information

ECE2262 Electric Circuit

ECE2262 Electric Circuit ECE2262 Electric Circuit Chapter 7: FIRST AND SECOND-ORDER RL AND RC CIRCUITS Response to First-Order RL and RC Circuits Response to Second-Order RL and RC Circuits 1 2 7.1. Introduction 3 4 In dc steady

More information

Taking the Laplace transform of the both sides and assuming that all initial conditions are zero,

Taking the Laplace transform of the both sides and assuming that all initial conditions are zero, The transfer function Let s begin with a general nth-order, linear, time-invariant differential equation, d n a n dt nc(t)... a d dt c(t) a 0c(t) d m = b m dt mr(t)... a d dt r(t) b 0r(t) () where c(t)

More information

Chapter 2. Engr228 Circuit Analysis. Dr Curtis Nelson

Chapter 2. Engr228 Circuit Analysis. Dr Curtis Nelson Chapter 2 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 2 Objectives Understand symbols and behavior of the following circuit elements: Independent voltage and current sources; Dependent voltage and

More information

Physics 116A Notes Fall 2004

Physics 116A Notes Fall 2004 Physics 116A Notes Fall 2004 David E. Pellett Draft v.0.9 Notes Copyright 2004 David E. Pellett unless stated otherwise. References: Text for course: Fundamentals of Electrical Engineering, second edition,

More information

Module 2. DC Circuit. Version 2 EE IIT, Kharagpur

Module 2. DC Circuit. Version 2 EE IIT, Kharagpur Module 2 DC Circuit Lesson 5 Node-voltage analysis of resistive circuit in the context of dc voltages and currents Objectives To provide a powerful but simple circuit analysis tool based on Kirchhoff s

More information

Basic Electrical Circuits Analysis ECE 221

Basic Electrical Circuits Analysis ECE 221 Basic Electrical Circuits Analysis ECE 221 PhD. Khodr Saaifan http://trsys.faculty.jacobs-university.de k.saaifan@jacobs-university.de 1 2 Reference: Electric Circuits, 8th Edition James W. Nilsson, and

More information

GATE 20 Years. Contents. Chapters Topics Page No.

GATE 20 Years. Contents. Chapters Topics Page No. GATE 0 Years Contents Chapters Topics Page No. Chapter- Chapter- Chapter- Chapter-4 Chapter-5 GATE Syllabus for this Chapter Topic elated to Syllabus Previous 0-Years GATE Questions Previous 0-Years GATE

More information

Electric Circuits I. Nodal Analysis. Dr. Firas Obeidat

Electric Circuits I. Nodal Analysis. Dr. Firas Obeidat Electric Circuits I Nodal Analysis Dr. Firas Obeidat 1 Nodal Analysis Without Voltage Source Nodal analysis, which is based on a systematic application of Kirchhoff s current law (KCL). A node is defined

More information

QUESTION BANK SUBJECT: NETWORK ANALYSIS (10ES34)

QUESTION BANK SUBJECT: NETWORK ANALYSIS (10ES34) QUESTION BANK SUBJECT: NETWORK ANALYSIS (10ES34) NOTE: FOR NUMERICAL PROBLEMS FOR ALL UNITS EXCEPT UNIT 5 REFER THE E-BOOK ENGINEERING CIRCUIT ANALYSIS, 7 th EDITION HAYT AND KIMMERLY. PAGE NUMBERS OF

More information

Circuits with Capacitor and Inductor

Circuits with Capacitor and Inductor Circuits with Capacitor and Inductor We have discussed so far circuits only with resistors. While analyzing it, we came across with the set of algebraic equations. Hereafter we will analyze circuits with

More information

EE 40: Introduction to Microelectronic Circuits Spring 2008: Midterm 2

EE 40: Introduction to Microelectronic Circuits Spring 2008: Midterm 2 EE 4: Introduction to Microelectronic Circuits Spring 8: Midterm Venkat Anantharam 3/9/8 Total Time Allotted : min Total Points:. This is a closed book exam. However, you are allowed to bring two pages

More information

Network Topology-2 & Dual and Duality Choice of independent branch currents and voltages: The solution of a network involves solving of all branch currents and voltages. We know that the branch current

More information

Electric Circuits Fall 2015 Solution #5

Electric Circuits Fall 2015 Solution #5 RULES: Please try to work on your own. Discussion is permissible, but identical submissions are unacceptable! Please show all intermeate steps: a correct solution without an explanation will get zero cret.

More information

4/27 Friday. I have all the old homework if you need to collect them.

4/27 Friday. I have all the old homework if you need to collect them. 4/27 Friday Last HW: do not need to turn it. Solution will be posted on the web. I have all the old homework if you need to collect them. Final exam: 7-9pm, Monday, 4/30 at Lambert Fieldhouse F101 Calculator

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : 0. LS_D_ECIN_Control Systems_30078 Delhi Noida Bhopal Hyderabad Jaipur Lucnow Indore Pune Bhubaneswar Kolata Patna Web: E-mail: info@madeeasy.in Ph: 0-4546 CLASS TEST 08-9 ELECTRONICS ENGINEERING

More information

E40M Review - Part 1

E40M Review - Part 1 E40M Review Part 1 Topics in Part 1 (Today): KCL, KVL, Power Devices: V and I sources, R Nodal Analysis. Superposition Devices: Diodes, C, L Time Domain Diode, C, L Circuits Topics in Part 2 (Wed): MOSFETs,

More information

Series & Parallel Resistors 3/17/2015 1

Series & Parallel Resistors 3/17/2015 1 Series & Parallel Resistors 3/17/2015 1 Series Resistors & Voltage Division Consider the single-loop circuit as shown in figure. The two resistors are in series, since the same current i flows in both

More information

vtusolution.in Initial conditions Necessity and advantages: Initial conditions assist

vtusolution.in Initial conditions Necessity and advantages: Initial conditions assist Necessity and advantages: Initial conditions assist Initial conditions To evaluate the arbitrary constants of differential equations Knowledge of the behavior of the elements at the time of switching Knowledge

More information

Lecture #3. Review: Power

Lecture #3. Review: Power Lecture #3 OUTLINE Power calculations Circuit elements Voltage and current sources Electrical resistance (Ohm s law) Kirchhoff s laws Reading Chapter 2 Lecture 3, Slide 1 Review: Power If an element is

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : 5SP_CS_W_Digital Logic_598 Delhi Noida hopal Hyderabad Jaipur Lucknow Indore Pune hubaneswar Kolkata Patna Web: Email: info@madeeasy.in Ph: 452462 CLSS TEST 289 COMPUTER SCIENCE & IT Subject :

More information

11. AC Circuit Power Analysis

11. AC Circuit Power Analysis . AC Circuit Power Analysis Often an integral part of circuit analysis is the determination of either power delivered or power absorbed (or both). In this chapter First, we begin by considering instantaneous

More information

Source-Free RC Circuit

Source-Free RC Circuit First Order Circuits Source-Free RC Circuit Initial charge on capacitor q = Cv(0) so that voltage at time 0 is v(0). What is v(t)? Prof Carruthers (ECE @ BU) EK307 Notes Summer 2018 150 / 264 First Order

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : S_CS_C_Digital Logic_588 Delhi Noida hopal Hyderabad Jaipur Lucknow Indore Pune hubaneswar Kolkata Patna Web: E-mail: info@madeeasy.in Ph: -56 CLASS TEST 8-9 COMPUTER SCIENCE & IT Subject : Digital

More information

Electric Circuits II Sinusoidal Steady State Analysis. Dr. Firas Obeidat

Electric Circuits II Sinusoidal Steady State Analysis. Dr. Firas Obeidat Electric Circuits II Sinusoidal Steady State Analysis Dr. Firas Obeidat 1 Table of Contents 1 2 3 4 5 Nodal Analysis Mesh Analysis Superposition Theorem Source Transformation Thevenin and Norton Equivalent

More information

FE Review 2/2/2011. Electric Charge. Electric Energy ELECTRONICS # 1 FUNDAMENTALS

FE Review 2/2/2011. Electric Charge. Electric Energy ELECTRONICS # 1 FUNDAMENTALS FE eview ELECONICS # FUNDAMENALS Electric Charge 2 In an electric circuit there is a conservation of charge. he net electric charge is constant. here are positive and negative charges. Like charges repel

More information

Electrical Circuits (2)

Electrical Circuits (2) Electrical Circuits (2) Lecture 7 Transient Analysis Dr.Eng. Basem ElHalawany Extra Reference for this Lecture Chapter 16 Schaum's Outline Of Theory And Problems Of Electric Circuits https://archive.org/details/theoryandproblemsofelectriccircuits

More information

2.004 Dynamics and Control II Spring 2008

2.004 Dynamics and Control II Spring 2008 MIT OpenCourseWare http://ocwmitedu 00 Dynamics and Control II Spring 00 For information about citing these materials or our Terms of Use, visit: http://ocwmitedu/terms Massachusetts Institute of Technology

More information

Introduction to AC Circuits (Capacitors and Inductors)

Introduction to AC Circuits (Capacitors and Inductors) Introduction to AC Circuits (Capacitors and Inductors) Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/

More information

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science : Circuits & Electronics Problem Set #1 Solution

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science : Circuits & Electronics Problem Set #1 Solution Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.2: Circuits & Electronics Problem Set # Solution Exercise. The three resistors form a series connection.

More information

Sinusoidal Response of RLC Circuits

Sinusoidal Response of RLC Circuits Sinusoidal Response of RLC Circuits Series RL circuit Series RC circuit Series RLC circuit Parallel RL circuit Parallel RC circuit R-L Series Circuit R-L Series Circuit R-L Series Circuit Instantaneous

More information

Kirchhoff's Laws and Circuit Analysis (EC 2)

Kirchhoff's Laws and Circuit Analysis (EC 2) Kirchhoff's Laws and Circuit Analysis (EC ) Circuit analysis: solving for I and V at each element Linear circuits: involve resistors, capacitors, inductors Initial analysis uses only resistors Power sources,

More information

Voltage Dividers, Nodal, and Mesh Analysis

Voltage Dividers, Nodal, and Mesh Analysis Engr228 Lab #2 Voltage Dividers, Nodal, and Mesh Analysis Name Partner(s) Grade /10 Introduction This lab exercise is designed to further your understanding of the use of the lab equipment and to verify

More information

EE292: Fundamentals of ECE

EE292: Fundamentals of ECE EE292: Fundamentals of ECE Fall 2012 TTh 10:00-11:15 SEB 1242 Lecture 14 121011 http://www.ee.unlv.edu/~b1morris/ee292/ 2 Outline Review Steady-State Analysis RC Circuits RL Circuits 3 DC Steady-State

More information

LAPLACE TRANSFORMATION AND APPLICATIONS. Laplace transformation It s a transformation method used for solving differential equation.

LAPLACE TRANSFORMATION AND APPLICATIONS. Laplace transformation It s a transformation method used for solving differential equation. LAPLACE TRANSFORMATION AND APPLICATIONS Laplace transformation It s a transformation method used for solving differential equation. Advantages The solution of differential equation using LT, progresses

More information

Chapter 10: Sinusoidal Steady-State Analysis

Chapter 10: Sinusoidal Steady-State Analysis Chapter 10: Sinusoidal Steady-State Analysis 10.1 10.2 10.3 10.4 10.5 10.6 10.9 Basic Approach Nodal Analysis Mesh Analysis Superposition Theorem Source Transformation Thevenin & Norton Equivalent Circuits

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : 4BS_CS_B_Discrete Mathematics_0708 Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: E-mail: info@madeeasy.in Ph: 0-452462 CLASS TEST 208-9 COMPUTER SCIENCE

More information

mywbut.com Mesh Analysis

mywbut.com Mesh Analysis Mesh Analysis 1 Objectives Meaning of circuit analysis; distinguish between the terms mesh and loop. To provide more general and powerful circuit analysis tool based on Kirchhoff s voltage law (KVL) only.

More information

Sinusoids and Phasors

Sinusoids and Phasors CHAPTER 9 Sinusoids and Phasors We now begins the analysis of circuits in which the voltage or current sources are time-varying. In this chapter, we are particularly interested in sinusoidally time-varying

More information

BFF1303: ELECTRICAL / ELECTRONICS ENGINEERING. Alternating Current Circuits : Basic Law

BFF1303: ELECTRICAL / ELECTRONICS ENGINEERING. Alternating Current Circuits : Basic Law BFF1303: ELECTRICAL / ELECTRONICS ENGINEERING Alternating Current Circuits : Basic Law Ismail Mohd Khairuddin, Zulkifil Md Yusof Faculty of Manufacturing Engineering Universiti Malaysia Pahang Alternating

More information

UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS

UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS 1.0 Kirchoff s Law Kirchoff s Current Law (KCL) states at any junction in an electric circuit the total current flowing towards that junction is equal

More information

DC STEADY STATE CIRCUIT ANALYSIS

DC STEADY STATE CIRCUIT ANALYSIS DC STEADY STATE CIRCUIT ANALYSIS 1. Introduction The basic quantities in electric circuits are current, voltage and resistance. They are related with Ohm s law. For a passive branch the current is: I=

More information

(amperes) = (coulombs) (3.1) (seconds) Time varying current. (volts) =

(amperes) = (coulombs) (3.1) (seconds) Time varying current. (volts) = 3 Electrical Circuits 3. Basic Concepts Electric charge coulomb of negative change contains 624 0 8 electrons. Current ampere is a steady flow of coulomb of change pass a given point in a conductor in

More information

Chapter 5. Department of Mechanical Engineering

Chapter 5. Department of Mechanical Engineering Source Transformation By KVL: V s =ir s + v By KCL: i s =i + v/r p is=v s /R s R s =R p V s /R s =i + v/r s i s =i + v/r p Two circuits have the same terminal voltage and current Source Transformation

More information

Basic. Theory. ircuit. Charles A. Desoer. Ernest S. Kuh. and. McGraw-Hill Book Company

Basic. Theory. ircuit. Charles A. Desoer. Ernest S. Kuh. and. McGraw-Hill Book Company Basic C m ш ircuit Theory Charles A. Desoer and Ernest S. Kuh Department of Electrical Engineering and Computer Sciences University of California, Berkeley McGraw-Hill Book Company New York St. Louis San

More information

Two Port Networks. Definition of 2-Port Network A two-port network is an electrical network with two separate ports for input and output

Two Port Networks. Definition of 2-Port Network A two-port network is an electrical network with two separate ports for input and output Two Port Networks Definition of 2-Port Network A two-port network is an electrical network with two separate ports for input and output What is a Port? It is a pair of terminals through which a current

More information

ENGG 225. David Ng. Winter January 9, Circuits, Currents, and Voltages... 5

ENGG 225. David Ng. Winter January 9, Circuits, Currents, and Voltages... 5 ENGG 225 David Ng Winter 2017 Contents 1 January 9, 2017 5 1.1 Circuits, Currents, and Voltages.................... 5 2 January 11, 2017 6 2.1 Ideal Basic Circuit Elements....................... 6 3 January

More information

SINUSOIDAL STEADY STATE CIRCUIT ANALYSIS

SINUSOIDAL STEADY STATE CIRCUIT ANALYSIS SINUSOIDAL STEADY STATE CIRCUIT ANALYSIS 1. Introduction A sinusoidal current has the following form: where I m is the amplitude value; ω=2 πf is the angular frequency; φ is the phase shift. i (t )=I m.sin

More information

GATE PRACTICE BOOKLET

GATE PRACTICE BOOKLET Website : www. aceengineeringpublications.com E Engineering Publications ( Sister oncern of E Engineering cademy, Hyderabad) Hyderabad Delhi Bhopal Pune Bhubaneswar Bengaluru Lucknow Patna hennai ijayawada

More information

POLYTECHNIC UNIVERSITY Electrical Engineering Department. EE SOPHOMORE LABORATORY Experiment 2 DC circuits and network theorems

POLYTECHNIC UNIVERSITY Electrical Engineering Department. EE SOPHOMORE LABORATORY Experiment 2 DC circuits and network theorems POLYTECHNIC UNIVERSITY Electrical Engineering Department EE SOPHOMORE LABORATORY Experiment 2 DC circuits and network theorems Modified for Physics 18, Brooklyn College I. Overview of Experiment In this

More information

Consider a simple RC circuit. We might like to know how much power is being supplied by the source. We probably need to find the current.

Consider a simple RC circuit. We might like to know how much power is being supplied by the source. We probably need to find the current. AC power Consider a simple RC circuit We might like to know how much power is being supplied by the source We probably need to find the current R 10! R 10! is VS Vmcosωt Vm 10 V f 60 Hz V m 10 V C 150

More information

AC Circuit Analysis and Measurement Lab Assignment 8

AC Circuit Analysis and Measurement Lab Assignment 8 Electric Circuit Lab Assignments elcirc_lab87.fm - 1 AC Circuit Analysis and Measurement Lab Assignment 8 Introduction When analyzing an electric circuit that contains reactive components, inductors and

More information

EM Oscillations. David J. Starling Penn State Hazleton PHYS 212

EM Oscillations. David J. Starling Penn State Hazleton PHYS 212 I ve got an oscillating fan at my house. The fan goes back and forth. It looks like the fan is saying No. So I like to ask it questions that a fan would say no to. Do you keep my hair in place? Do you

More information

Driven RLC Circuits Challenge Problem Solutions

Driven RLC Circuits Challenge Problem Solutions Driven LC Circuits Challenge Problem Solutions Problem : Using the same circuit as in problem 6, only this time leaving the function generator on and driving below resonance, which in the following pairs

More information

RLC Series Circuit. We can define effective resistances for capacitors and inductors: 1 = Capacitive reactance:

RLC Series Circuit. We can define effective resistances for capacitors and inductors: 1 = Capacitive reactance: RLC Series Circuit In this exercise you will investigate the effects of changing inductance, capacitance, resistance, and frequency on an RLC series AC circuit. We can define effective resistances for

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : IG1_CE_G_Concrete Structures_100818 Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: E-mail: info@madeeasy.in Ph: 011-451461 CLASS TEST 018-19 CIVIL ENGINEERING

More information

Electric Circuit Theory

Electric Circuit Theory Electric Circuit Theory Nam Ki Min nkmin@korea.ac.kr 010-9419-2320 Chapter 18 Two-Port Circuits Nam Ki Min nkmin@korea.ac.kr 010-9419-2320 Contents and Objectives 3 Chapter Contents 18.1 The Terminal Equations

More information

Electrical Engineering Fundamentals for Non-Electrical Engineers

Electrical Engineering Fundamentals for Non-Electrical Engineers Electrical Engineering Fundamentals for Non-Electrical Engineers by Brad Meyer, PE Contents Introduction... 3 Definitions... 3 Power Sources... 4 Series vs. Parallel... 9 Current Behavior at a Node...

More information

Phy301- Circuit Theory

Phy301- Circuit Theory Phy301- Circuit Theory Solved Mid Term MCQS and Subjective with References. Question No: 1 ( Marks: 1 ) - Please choose one If we connect 3 capacitors in series, the combined effect of all these capacitors

More information

UNIVERSITY OF UTAH ELECTRICAL & COMPUTER ENGINEERING DEPARTMENT. 10k. 3mH. 10k. Only one current in the branch:

UNIVERSITY OF UTAH ELECTRICAL & COMPUTER ENGINEERING DEPARTMENT. 10k. 3mH. 10k. Only one current in the branch: UNIVERSITY OF UTAH ELECTRICAL & COMPUTER ENGINEERING DEPARTMENT ECE 1270 HOMEWORK #6 Solution Summer 2009 1. After being closed a long time, the switch opens at t = 0. Find i(t) 1 for t > 0. t = 0 10kΩ

More information

Lecture 6: Impedance (frequency dependent. resistance in the s- world), Admittance (frequency. dependent conductance in the s- world), and

Lecture 6: Impedance (frequency dependent. resistance in the s- world), Admittance (frequency. dependent conductance in the s- world), and Lecture 6: Impedance (frequency dependent resistance in the s- world), Admittance (frequency dependent conductance in the s- world), and Consequences Thereof. Professor Ray, what s an impedance? Answers:

More information

6.1 Introduction

6.1 Introduction 6. Introduction A.C Circuits made up of resistors, inductors and capacitors are said to be resonant circuits when the current drawn from the supply is in phase with the impressed sinusoidal voltage. Then.

More information

A two-port network is an electrical network with two separate ports

A two-port network is an electrical network with two separate ports 5.1 Introduction A two-port network is an electrical network with two separate ports for input and output. Fig(a) Single Port Network Fig(b) Two Port Network There are several reasons why we should study

More information

ENGR 2405 Chapter 8. Second Order Circuits

ENGR 2405 Chapter 8. Second Order Circuits ENGR 2405 Chapter 8 Second Order Circuits Overview The previous chapter introduced the concept of first order circuits. This chapter will expand on that with second order circuits: those that need a second

More information

ECE 2100 Circuit Analysis

ECE 2100 Circuit Analysis ECE 2100 Circuit Analysis Lesson 3 Chapter 2 Ohm s Law Network Topology: nodes, branches, and loops Daniel M. Litynski, Ph.D. http://homepages.wmich.edu/~dlitynsk/ esistance ESISTANCE = Physical property

More information

DC CIRCUIT ANALYSIS. Loop Equations

DC CIRCUIT ANALYSIS. Loop Equations All of the rules governing DC circuits that have been discussed so far can now be applied to analyze complex DC circuits. To apply these rules effectively, loop equations, node equations, and equivalent

More information

2019 Edition THE PRACTICING ELECTRONICS TECHNICIAN S HANDBOOK

2019 Edition THE PRACTICING ELECTRONICS TECHNICIAN S HANDBOOK 2019 Edition THE PRACTICING ELECTRONICS TECHNICIAN S HANDBOOK THE PRACTICING ELECTRONICS TECHNICIAN S HANDBOOK 2019 Edition www.gbctechtraining.com 2019 George Brown College George Brown College School

More information

Control Systems Engineering (Chapter 2. Modeling in the Frequency Domain) Prof. Kwang-Chun Ho Tel: Fax:

Control Systems Engineering (Chapter 2. Modeling in the Frequency Domain) Prof. Kwang-Chun Ho Tel: Fax: Control Systems Engineering (Chapter 2. Modeling in the Frequency Domain) Prof. Kwang-Chun Ho kwangho@hansung.ac.kr Tel: 02-760-4253 Fax:02-760-4435 Overview Review on Laplace transform Learn about transfer

More information

Electric Current. Note: Current has polarity. EECS 42, Spring 2005 Week 2a 1

Electric Current. Note: Current has polarity. EECS 42, Spring 2005 Week 2a 1 Electric Current Definition: rate of positive charge flow Symbol: i Units: Coulombs per second Amperes (A) i = dq/dt where q = charge (in Coulombs), t = time (in seconds) Note: Current has polarity. EECS

More information

GATE ELECTRICAL ENGINEERING Vol 1 of 4

GATE ELECTRICAL ENGINEERING Vol 1 of 4 GATE ELECTRICAL ENGINEERING Vol 1 of 4 Second Edition GATE ELECTRICAL ENGINEERING Vol 1 of 4 RK Kanodia Ashish Murolia NODIA & COMPANY GATE Electrical Engineering Vol 1, 2e RK Kanodia & Ashish Murolia

More information

MODULE-4 RESONANCE CIRCUITS

MODULE-4 RESONANCE CIRCUITS Introduction: MODULE-4 RESONANCE CIRCUITS Resonance is a condition in an RLC circuit in which the capacitive and inductive Reactance s are equal in magnitude, there by resulting in purely resistive impedance.

More information

EE313 Fall 2013 Exam #1 (100 pts) Thursday, September 26, 2013 Name. 1) [6 pts] Convert the following time-domain circuit to the RMS Phasor Domain.

EE313 Fall 2013 Exam #1 (100 pts) Thursday, September 26, 2013 Name. 1) [6 pts] Convert the following time-domain circuit to the RMS Phasor Domain. Name If you have any questions ask them. Remember to include all units on your answers (V, A, etc). Clearly indicate your answers. All angles must be in the range 0 to +180 or 0 to 180 degrees. 1) [6 pts]

More information

15-884/484 Electric Power Systems 1: DC and AC Circuits

15-884/484 Electric Power Systems 1: DC and AC Circuits 15-884/484 Electric Power Systems 1: DC and AC Circuits J. Zico Kolter October 8, 2013 1 Hydro Estimated U.S. Energy Use in 2010: ~98.0 Quads Lawrence Livermore National Laboratory Solar 0.11 0.01 8.44

More information

Solved Problems. Electric Circuits & Components. 1-1 Write the KVL equation for the circuit shown.

Solved Problems. Electric Circuits & Components. 1-1 Write the KVL equation for the circuit shown. Solved Problems Electric Circuits & Components 1-1 Write the KVL equation for the circuit shown. 1-2 Write the KCL equation for the principal node shown. 1-2A In the DC circuit given in Fig. 1, find (i)

More information

Sinusoidal Steady State Analysis

Sinusoidal Steady State Analysis Sinusoidal Steady State Analysis 9 Assessment Problems AP 9. [a] V = 70/ 40 V [b] 0 sin(000t +20 ) = 0 cos(000t 70 ).. I = 0/ 70 A [c] I =5/36.87 + 0/ 53.3 =4+j3+6 j8 =0 j5 =.8/ 26.57 A [d] sin(20,000πt

More information

12. Introduction and Chapter Objectives

12. Introduction and Chapter Objectives Real Analog - Circuits 1 Chapter 1: Steady-State Sinusoidal Power 1. Introduction and Chapter Objectives In this chapter we will address the issue of power transmission via sinusoidal or AC) signals. This

More information

Problem Set 5 Solutions

Problem Set 5 Solutions University of California, Berkeley Spring 01 EE /0 Prof. A. Niknejad Problem Set 5 Solutions Please note that these are merely suggested solutions. Many of these problems can be approached in different

More information

Sinusoidal Steady-State Analysis

Sinusoidal Steady-State Analysis Chapter 4 Sinusoidal Steady-State Analysis In this unit, we consider circuits in which the sources are sinusoidal in nature. The review section of this unit covers most of section 9.1 9.9 of the text.

More information

Basic RL and RC Circuits R-L TRANSIENTS: STORAGE CYCLE. Engineering Collage Electrical Engineering Dep. Dr. Ibrahim Aljubouri

Basic RL and RC Circuits R-L TRANSIENTS: STORAGE CYCLE. Engineering Collage Electrical Engineering Dep. Dr. Ibrahim Aljubouri st Class Basic RL and RC Circuits The RL circuit with D.C (steady state) The inductor is short time at Calculate the inductor current for circuits shown below. I L E R A I L E R R 3 R R 3 I L I L R 3 R

More information

BASIC NETWORK ANALYSIS

BASIC NETWORK ANALYSIS SECTION 1 BASIC NETWORK ANALYSIS A. Wayne Galli, Ph.D. Project Engineer Newport News Shipbuilding Series-Parallel dc Network Analysis......................... 1.1 Branch-Current Analysis of a dc Network......................

More information

I. Impedance of an R-L circuit.

I. Impedance of an R-L circuit. I. Impedance of an R-L circuit. [For inductor in an AC Circuit, see Chapter 31, pg. 1024] Consider the R-L circuit shown in Figure: 1. A current i(t) = I cos(ωt) is driven across the circuit using an AC

More information

To find the step response of an RC circuit

To find the step response of an RC circuit To find the step response of an RC circuit v( t) v( ) [ v( t) v( )] e tt The time constant = RC The final capacitor voltage v() The initial capacitor voltage v(t ) To find the step response of an RL circuit

More information

Homework 2 SJTU233. Part A. Part B. Problem 2. Part A. Problem 1. Find the impedance Zab in the circuit seen in the figure. Suppose that R = 5 Ω.

Homework 2 SJTU233. Part A. Part B. Problem 2. Part A. Problem 1. Find the impedance Zab in the circuit seen in the figure. Suppose that R = 5 Ω. Homework 2 SJTU233 Problem 1 Find the impedance Zab in the circuit seen in the figure. Suppose that R = 5 Ω. Express Zab in polar form. Enter your answer using polar notation. Express argument in degrees.

More information

Transient response of RC and RL circuits ENGR 40M lecture notes July 26, 2017 Chuan-Zheng Lee, Stanford University

Transient response of RC and RL circuits ENGR 40M lecture notes July 26, 2017 Chuan-Zheng Lee, Stanford University Transient response of C and L circuits ENG 40M lecture notes July 26, 2017 Chuan-Zheng Lee, Stanford University esistor capacitor (C) and resistor inductor (L) circuits are the two types of first-order

More information

2006 #3 10. a. On the diagram of the loop below, indicate the directions of the magnetic forces, if any, that act on each side of the loop.

2006 #3 10. a. On the diagram of the loop below, indicate the directions of the magnetic forces, if any, that act on each side of the loop. 1992 1 1994 2 3 3 1984 4 1991 5 1987 6 1980 8 7 9 2006 #3 10 1985 2006E3. A loop of wire of width w and height h contains a switch and a battery and is connected to a spring of force constant k, as shown

More information

Assessment Schedule 2015 Physics: Demonstrate understanding of electrical systems (91526)

Assessment Schedule 2015 Physics: Demonstrate understanding of electrical systems (91526) NCEA Level 3 Physics (91526) 2015 page 1 of 6 Assessment Schedule 2015 Physics: Demonstrate understanding of electrical systems (91526) Evidence Q Evidence Achievement Achievement with Merit Achievement

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial :. PT_EE_A+C_Control Sytem_798 Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubanewar olkata Patna Web: E-mail: info@madeeay.in Ph: -4546 CLASS TEST 8-9 ELECTRICAL ENGINEERING Subject

More information

AP Physics C. Inductance. Free Response Problems

AP Physics C. Inductance. Free Response Problems AP Physics C Inductance Free Response Problems 1. Two toroidal solenoids are wounded around the same frame. Solenoid 1 has 800 turns and solenoid 2 has 500 turns. When the current 7.23 A flows through

More information

Calculation of voltage and current in electric network (circuit)

Calculation of voltage and current in electric network (circuit) UNIVERSITY OF LJUBLJANA Calculation of voltage and current in electric network (circuit) Power distribution and Industrial Systems Alba Romero Montero 13/04/2018 Professor: Grega Bizjak Content Background...2...3

More information

Consider the following generalized simple circuit

Consider the following generalized simple circuit ntroduction to Circuit Analysis Getting Started We analyze circuits for several reasons Understand how they work Learn how to design from other people s work Debug our own designs Troubleshoot circuit

More information

Note 11: Alternating Current (AC) Circuits

Note 11: Alternating Current (AC) Circuits Note 11: Alternating Current (AC) Circuits V R No phase difference between the voltage difference and the current and max For alternating voltage Vmax sin t, the resistor current is ir sin t. the instantaneous

More information