University of Toronto Faculty of Applied Science and Engineering. ECE212H1F - Circuit Analysis. Final Examination December 16, :30am - noon

Size: px
Start display at page:

Download "University of Toronto Faculty of Applied Science and Engineering. ECE212H1F - Circuit Analysis. Final Examination December 16, :30am - noon"

Transcription

1 , LAST name: First name: Student ID: University of Toronto Faculty of Applied Science and Engineering ECE212H1F - Circuit Analysis Final Examination December 16, :30am - noon Guidelines: Exam type: A Examiners: K. Phang, Z. Tate, and W. Wong Please write your answer in the space provided for each question. Show your work and use the back side of sheets as needed. This exam is closed-note. You may use a non-programmable calculator. The last two pages are the equation sheets previously provided to you via Portal. I Problem I Score 1 /4 2 /10 3 /9 4 /7 5 /14 6 /1 7 /3 8 /4 9 /6 10 /2 Total /60 I

2 Problem 1 Page 2 of 25 Problem 1 ( 4 points) 10 mh 100 µf a) (3 points) For the circuit shown above, find the transfer function G(s) = Vou((~), where Vout(s) = ½s {Vout(t)} and ½(s) = {v 5 (t)}. G(s) = b) (1 point) Determine all the poles of the transfer function G(s). List all poles of G ( s) in this box

3 Problem 2 Page 3 of 25 Problem 2 (10 points) - Vs(t) + L C H s Vo s = (.) Vs ( ) ( s + 10) ( s ) The filter circuit shown above has component values R, L, and C such that its transfer function is equal to the given H(s), where.vout(s) =.C { Vout(~)} and ½(s) =.c {vs(t)}. a) ( 4 points) On the graphs provided below, sketch the Bode plot ( straight-line approximations of magnitude and phase) for H ( s). At the,top of the next page, th~re is a sample Bode plot ( corresponding to a different transfer function) that illustrates how the magnitude and phase plots should be labeled.. IHI [db] ; i. l! l...,.... -~...,.-i... l... I! l l I,! i i-! I i i i I I

4 Problem 2 Page 4 of 25 IHI [db] Sample Bode plot (based on a different transfer function) I..H -40 db -90 t ' i '' '_L_ - On the magnitude plot, label the slopes of all lines and provide (on the vertical axis) the magnitude for at least one frequency; On the phase plot, label the value of the phase for any constant asymptotes; and On both plots, clearly mark the scale on the horizontal and vertical axes and label all significant frequencies.

5 Problem 2 Page 5 of 25 b) ( 4 points) This is a commonly used filter circuit in de-de converters, which use switches ( operating at a frequency w 5 ) to reduce or increase a de supply voltage. If v 5 (t) = ~ + cos(w 5 t) V, find an approximate expression for the output waveform Vout(t) using the Bode plots from part (a), if i) W 5 = 100 rad/s Vout(t) = ii) W 5 = rad/s Vout(t) =

6 Problem 2 Page 6 of 25 c) (2 points) If the goal is to provide the load (represented by the resistor R) with a constant de voltage (i.e., minimize the peak-to-peak fluctuations of the output voltage), which switching frequency is a better choice based on your results from part (b)? Briefly explain. Circle one: W 5 =l00 rad/s W 5 =l0000 rad/s

7 Problem 3 Page 7 of 25 Problem 3 (9 points) A series of tests are run on a mutually-coupled set of windings with terminals A-B and C-D to determine the parameters of the corresponding circuit model (LAB, Lev, and M): a) (4 points) (Open-circuit test) With terminals C-D open-circuited, a voltage source VAB(t) = 2y'2cos(10t) Vis connected to the A-B winding, as shown in the figure below. Under this test condition, an ammeter connected to the voltage source reads 1 Arms, and a voltmeter connected to winding C-D reads 3 V rms. Using this test, determine LAB (the self-inductance of winding A-B) and M ( the mutual inductance between the windings) in henries. ias(t) A ----~ icn(t) (rms) +. LAB Len vcn(t) V (rms) Open-circuit test setup showing ammeter ~ (,;;;_,l ~ and voltmeter I (n~~l I connections. LAB= M=

8 Problem 3 Page 8 of 25 b) (4 points) (Short-circuit test) With terminals C-D short-circuited, a voltage source va8 (t) = 2v'2cos(10t) Vis connected to the A-B winding, as shown in the figure below. Under this test condition, an ammeter connected to the voltage source reads 10 A rms. Using this test, determine Len (the self-inductance of winding C-D) in henries. iab(t) A )![,. icd(t) VAs(t) ~ (rms) LA~ 8 Short-circuit test setup showing ammeter ~ (,;~,J ~ connection. Len=

9 Problem 3 Page 9 of 25 c) (1 point) The measurements collected during the open-circuit test in part (a) from the voltmeter and ammeter do not provide sufficient information to verify the dot markings on the device. Describe briefly how a 2-channel oscilloscope could be used to verify the dot markings during the open-circuit test.

10 Problem 4 Page 10 of 25 Problem 4 (7 points) Load 1 30 kva p.f. = 0.6 lagging Load 2 20 kva p.f. = 0.8 leading A 120-V rms, 60-Hz source v 8 (t) supplies two loads connected in parallel, as shown in the figure above. a) (4 points) Find the power factor of the parallel combination of the two loads. p.f

11 Problem 4 Page 11 of 25 b) ( 3 points) Calculate the value of the capacitance connected in parallel that will raise the power factor to unity. c=

12 Problem 5 Page 12 of 25 Problem 5 {14 points) t=0 t= mh vc 40 mf Assume the above circuit is in steady-state before time t = 0. Both switches move at t = 0. a) (2 points) Find il(0+) and vc(0+)- il(o+) = vc(o+) =

13 Problem 5 Page 13 of 25 b) (2 points) Draw the s-domain representation of the circuit fort ~ 0. You can ignore portions of the circuit that are disconnected from any sources. Draw the s-domain representation in this box

14 Problem 5 Page 14 of 25 c) (3 points) Use superposition to find vr(t) fort 2: 0. In this part, turn off the the e- 50 tu(t) source and only consider the response due to initial conditions. Determine VR(s) =.C{vR(t)}. VR(s) =

15 Problem 5 Page 15 of 25 d) (3 points) In this part, turn off all initial conditions and find the response VR(s) due only to the c 50 tu(t) source. VR(s) =

16 Problem 5 Page 16 of 25 e) (3 points) Write out the full solution for VR(s) (due to initial conditions and the source) and perform partial fraction expansion on it. VR(s) = f) (1 point) Find vr(t) fort~ 0. VR(t) =

17 Problem 6 Page 17 of 25 Problem 6 ( 1 points) For the following circuit, determine the filter type (low-pass, band-pass, or high-pass) with the input defined as Vin and the output defined as Vout Note: you do not need to derive the transfer function to solve this problem. + + Vout Circle the filter type: Low-pass Band-pass High-pass

18 Problem 7 Page 18 of 25 Problem 7 (3. points) + Vout(t) 30 a) (1 point) Find the time constant of the response Vout(t). T= b) (1 point) Find Vout(t) fort~ 0 if il(o+) = 1 A. Vout(t) =

19 Problem 7 Page 19 of 25 c) (1 point) Given il(o+) = 1 A, find the time, t 33 %, required for the output Vout to drop to one-third of its initial value (i.e., V 0 ut(taa%) = ½vout(O+)). t33% =

20 Problem 8 Page 20 of 25 Problem 8 ( 4 points) 100 kn 1 nf 50 kn In the above op amp circuit, v 5 = 4 cos (10 4 t) V. Find the average power PL delivered to the 50-kn resistor. Note: 1 nf = 1 x 10-9 F. ~=

21 Problem 9 Page 21 of 25 Problem 9 ( 6 points) H + 1 mf. a) (2 points) If V 8 (t) = u(t) in the circuit above, determine the final value of v 0 (t). Verify your answer using the Final-Value Theorem for full marks. lim v 0 (t) = t-+oo

22 Problem 9 Page 22 of 25 b) (2 points) If vs(t) = u(t), what does the output waveform v 0 (t) look like? (Circle one and explain briefly) i) Va(t) ii) Va(t) t _... t iii) Va( t) iv) Va(t) \ ~ t c) (2 points) Assuming Vs is a steady-state ac source, what is the minimum impedance "seen" by Vs (labeled Zeq ori the circuit diagram)? At what frequency does this minimum impedance occur? Zeq,min = Wmin =

23 Problem 10 Page 23 of 25 Problem 10 (2 points) Source N What is the ideal turns ratio, N~, of a step-down transformer required to maximize the power delivered to a 40 load from a source with an internal (Thevenin) resistance of 900 O?

24 Page 24 of 25 ECE212 Equation Sheet Wye-Delta Transformations Bode Plots of quadratic poles a 'iii' ~ (U ".a c OD OS l:: C b w,. (rad/s)(log scale) Magnetically-Coupled Networks L di2 + M di1 Vz = 2 dt dt ell (U ~,j: :.c "' (U "' OS..c. Cl <l> = -tan-1 2tw,. 1-(w1') w,- (rad/s)(log scale) Second-order Equations General second-order differential equation: d 2 x + 2 dx a- wx= dt2 dt o Characteristic Equation: s 2 + 2( w 0 s + w5 = 0 s 2 + 2as + w5 = 0 Roots: Possible natural responses: Overdamped: Critically damped: Underdamped: f(t). x(t) = K1es1t + K2es2t x(t) = K 1 e-at + K 2 te-at x(t) = e-at (K 1 cos wdt + K2sinwdt) wd = Jw5 - s Bandpass Transfer Function: Hsp(s) = K sz+z(wos+ w~ 3dB (half-power) bandwidth: BW_ = whi - a2 Ww = 2( w 0, where w5 = WHJWw

25 Table of Laplace Transforms Page 25 of 25 f(t) F(s) f(t) F(s) 1 s u(t) - cos kt s 1 t - sz t2 2! - s3 tn n! -- sn+l eat 1 -- s-a sin kt cosh kt sinh kt eat cos kt eat sin kt s2 + k2 k s2 + k2 s s2 - k2 k s2 - k2 s-a (s - a) 2 + k 2 k (s - a) 2 + k 2 Table of Properties of the Laplace Transform f(t) F(s) f(t) F(s) af(t) + pg(t) af(s) + PG(s) eat f (t) F(s - a) r(n)(t) snf(s) - sn-lf(o) rcn-1)(0) f (t - a)u(t - a) e-asf(s) ltf('r)dr ltf(r)g(t - r)dr tnf(t) F(s) -- s F(s)G(s) (-1rFCn)(s) eat f (t) F(s - a) f (t - a)u(t - a) e-asf(s) f(t)u(t - a) e-as L{f (t + a)} f(t) = f(t + T) 1 JT 1 - e-st o e-st f (t) dt f(t)u(t - a) f(t) = f(t + T) limf(t) t---¼0 t---¼oo limf(t) e-as L{f (t + a)} 1 JT 1 - e-st o e-st f (t) dt Jim sf(s) 5---¼00 Jim sf(s) S---¼0 Time-domain and s-domain Representations of Circuit Elements + v(r) ~ ~ ~ C + V(s) v(o) - s 1 sc V(s) 1 - sc i(r) l(s) l(s) L l i(o) Li(O) sl i(o) s

ECE Circuit Theory. Final Examination. December 5, 2008

ECE Circuit Theory. Final Examination. December 5, 2008 ECE 212 H1F Pg 1 of 12 ECE 212 - Circuit Theory Final Examination December 5, 2008 1. Policy: closed book, calculators allowed. Show all work. 2. Work in the provided space. 3. The exam has 3 problems

More information

8 sin 3 V. For the circuit given, determine the voltage v for all time t. Assume that no energy is stored in the circuit before t = 0.

8 sin 3 V. For the circuit given, determine the voltage v for all time t. Assume that no energy is stored in the circuit before t = 0. For the circuit given, determine the voltage v for all time t. Assume that no energy is stored in the circuit before t = 0. Spring 2015, Exam #5, Problem #1 4t Answer: e tut 8 sin 3 V 1 For the circuit

More information

ECE 202 Fall 2013 Final Exam

ECE 202 Fall 2013 Final Exam ECE 202 Fall 2013 Final Exam December 12, 2013 Circle your division: Division 0101: Furgason (8:30 am) Division 0201: Bermel (9:30 am) Name (Last, First) Purdue ID # There are 18 multiple choice problems

More information

ECE Spring 2017 Final Exam

ECE Spring 2017 Final Exam ECE 20100 Spring 2017 Final Exam May 2, 2017 Section (circle below) Qi (12:30) 0001 Tan (10:30) 0004 Hosseini (7:30) 0005 Cui (1:30) 0006 Jung (11:30) 0007 Lin (9:30) 0008 Peleato-Inarrea (2:30) 0009 Name

More information

ECE 2210 Final given: Spring 15 p1

ECE 2210 Final given: Spring 15 p1 ECE 2 Final given: Spring 15 Closed Book, Closed notes except preprinted yellow sheet, Calculators OK. Show all work to receive credit. Circle answers, show units, and round off reasonably 1. (15 pts)

More information

RC, RL, and LCR Circuits

RC, RL, and LCR Circuits RC, RL, and LCR Circuits EK307 Lab Note: This is a two week lab. Most students complete part A in week one and part B in week two. Introduction: Inductors and capacitors are energy storage devices. They

More information

Problem Weight Score Total 100

Problem Weight Score Total 100 EE 350 EXAM IV 15 December 2010 Last Name (Print): First Name (Print): ID number (Last 4 digits): Section: DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 25 2 25 3 25 4 25 Total

More information

ECE2210 Final given: Fall 13

ECE2210 Final given: Fall 13 ECE22 Final given: Fall 3. (23 pts) a) Draw the asymptotic Bode plot (the straight-line approximation) of the transfer function below. Accurately draw it on the graph provided. You must show the steps

More information

ECE 201 Fall 2009 Final Exam

ECE 201 Fall 2009 Final Exam ECE 01 Fall 009 Final Exam December 16, 009 Division 0101: Tan (11:30am) Division 001: Clark (7:30 am) Division 0301: Elliott (1:30 pm) Instructions 1. DO NOT START UNTIL TOLD TO DO SO.. Write your Name,

More information

ECE2210 Final given: Spring 08

ECE2210 Final given: Spring 08 ECE Final given: Spring 0. Note: feel free to show answers & work right on the schematic 1. (1 pts) The ammeter, A, reads 30 ma. a) The power dissipated by R is 0.7 W, what is the value of R. Assume that

More information

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Electronic Circuits Fall 2000.

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Electronic Circuits Fall 2000. Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.002 Electronic Circuits Fall 2000 Final Exam Please write your name in the space provided below, and circle

More information

EE C128 / ME C134 Final Exam Fall 2014

EE C128 / ME C134 Final Exam Fall 2014 EE C128 / ME C134 Final Exam Fall 2014 December 19, 2014 Your PRINTED FULL NAME Your STUDENT ID NUMBER Number of additional sheets 1. No computers, no tablets, no connected device (phone etc.) 2. Pocket

More information

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. EGR 224 Spring Test II. Michael R. Gustafson II

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. EGR 224 Spring Test II. Michael R. Gustafson II 'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ EGR 224 Spring 2018 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any

More information

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. EGR 224 Spring Test II. Michael R. Gustafson II

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. EGR 224 Spring Test II. Michael R. Gustafson II 'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ EGR 224 Spring 2017 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any

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

ECE Networks & Systems

ECE Networks & Systems ECE 342 1. Networks & Systems Jose E. Schutt Aine Electrical & Computer Engineering University of Illinois jschutt@emlab.uiuc.edu 1 What is Capacitance? 1 2 3 Voltage=0 No Charge No Current Voltage build

More information

ECE 212H1F Circuit Analysis October 30, :10-19: Reza Iravani 02 Reza Iravani 03 Piero Triverio. (Non-programmable Calculators Allowed)

ECE 212H1F Circuit Analysis October 30, :10-19: Reza Iravani 02 Reza Iravani 03 Piero Triverio. (Non-programmable Calculators Allowed) Please Print Clearly Last Name: First Name: Student Number: Your Tutorial Section (CIRCLE ONE): 01 Thu. 9-11 RS211 02 Thu. 9-11 GB119 03 Tue. 10-12 SF2202 04 Tue. 10-12 SF3201 05 Tue. 13-15 GB304 06 Tue.

More information

ECE Spring 2015 Final Exam

ECE Spring 2015 Final Exam ECE 20100 Spring 2015 Final Exam May 7, 2015 Section (circle below) Jung (1:30) 0001 Qi (12:30) 0002 Peleato (9:30) 0004 Allen (10:30) 0005 Zhu (4:30) 0006 Name PUID Instructions 1. DO NOT START UNTIL

More information

ECE137B Final Exam. Wednesday 6/8/2016, 7:30-10:30PM.

ECE137B Final Exam. Wednesday 6/8/2016, 7:30-10:30PM. ECE137B Final Exam Wednesday 6/8/2016, 7:30-10:30PM. There are7 problems on this exam and you have 3 hours There are pages 1-32 in the exam: please make sure all are there. Do not open this exam until

More information

ECE 212H1F Circuit Analysis October 20, :15-19: Reza Iravani 02 Reza Iravani 03 Ali Nabavi-Niaki. (Non-programmable Calculators Allowed)

ECE 212H1F Circuit Analysis October 20, :15-19: Reza Iravani 02 Reza Iravani 03 Ali Nabavi-Niaki. (Non-programmable Calculators Allowed) Please Print Clearly Last Name: First Name: Student Number: Your Tutorial Section (CIRCLE ONE): 01 Thu 10:00 12:00 HA403 02 Thu 10:00 12:00 GB412 03 Thu 15:00 17:00 GB412 04 Thu 15:00 17:00 SF2202 05 Fri

More information

IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE UNIVERSITY OF LONDON DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2010

IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE UNIVERSITY OF LONDON DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2010 Paper Number(s): E1.1 IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE UNIVERSITY OF LONDON DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2010 EEE/ISE PART I: MEng, BEng and ACGI

More information

Homework Assignment 11

Homework Assignment 11 Homework Assignment Question State and then explain in 2 3 sentences, the advantage of switched capacitor filters compared to continuous-time active filters. (3 points) Continuous time filters use resistors

More information

Power Factor Improvement

Power Factor Improvement Salman bin AbdulazizUniversity College of Engineering Electrical Engineering Department EE 2050Electrical Circuit Laboratory Power Factor Improvement Experiment # 4 Objectives: 1. To introduce the concept

More information

EE221 - Practice for the Midterm Exam

EE221 - Practice for the Midterm Exam EE1 - Practice for the Midterm Exam 1. Consider this circuit and corresponding plot of the inductor current: Determine the values of L, R 1 and R : L = H, R 1 = Ω and R = Ω. Hint: Use the plot to determine

More information

ECE137B Final Exam. There are 5 problems on this exam and you have 3 hours There are pages 1-19 in the exam: please make sure all are there.

ECE137B Final Exam. There are 5 problems on this exam and you have 3 hours There are pages 1-19 in the exam: please make sure all are there. ECE37B Final Exam There are 5 problems on this exam and you have 3 hours There are pages -9 in the exam: please make sure all are there. Do not open this exam until told to do so Show all work: Credit

More information

Basic Electronics. Introductory Lecture Course for. Technology and Instrumentation in Particle Physics Chicago, Illinois June 9-14, 2011

Basic Electronics. Introductory Lecture Course for. Technology and Instrumentation in Particle Physics Chicago, Illinois June 9-14, 2011 Basic Electronics Introductory Lecture Course for Technology and Instrumentation in Particle Physics 2011 Chicago, Illinois June 9-14, 2011 Presented By Gary Drake Argonne National Laboratory Session 2

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

Possible

Possible Department of Electrical Engineering and Computer Science ENGR 21. Introduction to Circuits and Instruments (4) ENGR 21 SPRING 24 FINAL EXAMINATION given 5/4/3 Possible 1. 1 2. 1 3. 1 4. 1 5. 1 6. 1 7.

More information

ELEC 2501 AB. Come to the PASS workshop with your mock exam complete. During the workshop you can work with other students to review your work.

ELEC 2501 AB. Come to the PASS workshop with your mock exam complete. During the workshop you can work with other students to review your work. It is most beneficial to you to write this mock midterm UNDER EXAM CONDITIONS. This means: Complete the midterm in 3 hour(s). Work on your own. Keep your notes and textbook closed. Attempt every question.

More information

ENGR-4300 Spring 2009 Test 2. Name: SOLUTION. Section: 1(MR 8:00) 2(TF 2:00) 3(MR 6:00) (circle one) Question I (20 points): Question II (20 points):

ENGR-4300 Spring 2009 Test 2. Name: SOLUTION. Section: 1(MR 8:00) 2(TF 2:00) 3(MR 6:00) (circle one) Question I (20 points): Question II (20 points): ENGR43 Test 2 Spring 29 ENGR43 Spring 29 Test 2 Name: SOLUTION Section: 1(MR 8:) 2(TF 2:) 3(MR 6:) (circle one) Question I (2 points): Question II (2 points): Question III (17 points): Question IV (2 points):

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

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

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

EE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, pm, Room TBA

EE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, pm, Room TBA EE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, 2006 6-7 pm, Room TBA First retrieve your EE2110 final and other course papers and notes! The test will be closed book

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

Final Exam. 55:041 Electronic Circuits. The University of Iowa. Fall 2013.

Final Exam. 55:041 Electronic Circuits. The University of Iowa. Fall 2013. Final Exam Name: Max: 130 Points Question 1 In the circuit shown, the op-amp is ideal, except for an input bias current I b = 1 na. Further, R F = 10K, R 1 = 100 Ω and C = 1 μf. The switch is opened at

More information

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences EECS 40 Spring 2000 Introduction to Microelectronic Devices Prof. King MIDTERM EXAMINATION

More information

Dynamic circuits: Frequency domain analysis

Dynamic circuits: Frequency domain analysis Electronic Circuits 1 Dynamic circuits: Contents Free oscillation and natural frequency Transfer functions Frequency response Bode plots 1 System behaviour: overview 2 System behaviour : review solution

More information

Homework Assignment 08

Homework Assignment 08 Homework Assignment 08 Question 1 (Short Takes) Two points each unless otherwise indicated. 1. Give one phrase/sentence that describes the primary advantage of an active load. Answer: Large effective resistance

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

Figure Circuit for Question 1. Figure Circuit for Question 2

Figure Circuit for Question 1. Figure Circuit for Question 2 Exercises 10.7 Exercises Multiple Choice 1. For the circuit of Figure 10.44 the time constant is A. 0.5 ms 71.43 µs 2, 000 s D. 0.2 ms 4 Ω 2 Ω 12 Ω 1 mh 12u 0 () t V Figure 10.44. Circuit for Question

More information

EECE 2150 Circuits and Signals, Biomedical Applications Final Exam Section 3

EECE 2150 Circuits and Signals, Biomedical Applications Final Exam Section 3 EECE 2150 Circuits and Signals, Biomedical Applications Final Exam Section 3 Instructions: Closed book, closed notes; Computers and cell phones are not allowed You may use the equation sheet provided but

More information

Steady State Frequency Response Using Bode Plots

Steady State Frequency Response Using Bode Plots School of Engineering Department of Electrical and Computer Engineering 332:224 Principles of Electrical Engineering II Laboratory Experiment 3 Steady State Frequency Response Using Bode Plots 1 Introduction

More information

EE-201 Review Exam I. 1. The voltage Vx in the circuit below is: (1) 3V (2) 2V (3) -2V (4) 1V (5) -1V (6) None of above

EE-201 Review Exam I. 1. The voltage Vx in the circuit below is: (1) 3V (2) 2V (3) -2V (4) 1V (5) -1V (6) None of above EE-201, Review Probs Test 1 page-1 Spring 98 EE-201 Review Exam I Multiple Choice (5 points each, no partial credit.) 1. The voltage Vx in the circuit below is: (1) 3V (2) 2V (3) -2V (4) 1V (5) -1V (6)

More information

REACTANCE. By: Enzo Paterno Date: 03/2013

REACTANCE. By: Enzo Paterno Date: 03/2013 REACTANCE REACTANCE By: Enzo Paterno Date: 03/2013 5/2007 Enzo Paterno 1 RESISTANCE - R i R (t R A resistor for all practical purposes is unaffected by the frequency of the applied sinusoidal voltage or

More information

EE40 Homework #6. Due Oct 15 (Thursday), 12:00 noon in Cory 240

EE40 Homework #6. Due Oct 15 (Thursday), 12:00 noon in Cory 240 Fall 2009 EE40 Homework #6 Due Oct 15 (Thursday), 12:00 noon in Cory 240 Reading Assignments Chapter 5 of Hambley textbook. Section 5.7 on Three-Phase circuit is optional Sections 6.1-6.5 of Hambley textbook

More information

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. ECE 110 Fall Test II. Michael R. Gustafson II

'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. ECE 110 Fall Test II. Michael R. Gustafson II 'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ ECE 110 Fall 2016 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any assistance

More information

EXP. NO. 3 Power on (resistive inductive & capacitive) load Series connection

EXP. NO. 3 Power on (resistive inductive & capacitive) load Series connection OBJECT: To examine the power distribution on (R, L, C) series circuit. APPARATUS 1-signal function generator 2- Oscilloscope, A.V.O meter 3- Resisters & inductor &capacitor THEORY the following form for

More information

Alternating Currents. The power is transmitted from a power house on high voltage ac because (a) Electric current travels faster at higher volts (b) It is more economical due to less power wastage (c)

More information

Physics 240 Fall 2005: Exam #3. Please print your name: Please list your discussion section number: Please list your discussion instructor:

Physics 240 Fall 2005: Exam #3. Please print your name: Please list your discussion section number: Please list your discussion instructor: Physics 240 Fall 2005: Exam #3 Please print your name: Please list your discussion section number: Please list your discussion instructor: Form #1 Instructions 1. Fill in your name above 2. This will be

More information

First and Second Order Circuits. Claudio Talarico, Gonzaga University Spring 2015

First and Second Order Circuits. Claudio Talarico, Gonzaga University Spring 2015 First and Second Order Circuits Claudio Talarico, Gonzaga University Spring 2015 Capacitors and Inductors intuition: bucket of charge q = Cv i = C dv dt Resist change of voltage DC open circuit Store voltage

More information

AC Circuits Homework Set

AC Circuits Homework Set Problem 1. In an oscillating LC circuit in which C=4.0 μf, the maximum potential difference across the capacitor during the oscillations is 1.50 V and the maximum current through the inductor is 50.0 ma.

More information

RLC Circuit (3) We can then write the differential equation for charge on the capacitor. The solution of this differential equation is

RLC Circuit (3) We can then write the differential equation for charge on the capacitor. The solution of this differential equation is RLC Circuit (3) We can then write the differential equation for charge on the capacitor The solution of this differential equation is (damped harmonic oscillation!), where 25 RLC Circuit (4) If we charge

More information

Exercise s = 1. cos 60 ± j sin 60 = 0.5 ± j 3/2. = s 2 + s + 1. (s + 1)(s 2 + s + 1) T(jω) = (1 + ω2 )(1 ω 2 ) 2 + ω 2 (1 + ω 2 )

Exercise s = 1. cos 60 ± j sin 60 = 0.5 ± j 3/2. = s 2 + s + 1. (s + 1)(s 2 + s + 1) T(jω) = (1 + ω2 )(1 ω 2 ) 2 + ω 2 (1 + ω 2 ) Exercise 7 Ex: 7. A 0 log T [db] T 0.99 0.9 0.8 0.7 0.5 0. 0 A 0 0. 3 6 0 Ex: 7. A max 0 log.05 0 log 0.95 0.9 db [ ] A min 0 log 40 db 0.0 Ex: 7.3 s + js j Ts k s + 3 + j s + 3 j s + 4 k s + s + 4 + 3

More information

Notes on Electric Circuits (Dr. Ramakant Srivastava)

Notes on Electric Circuits (Dr. Ramakant Srivastava) Notes on Electric ircuits (Dr. Ramakant Srivastava) Passive Sign onvention (PS) Passive sign convention deals with the designation of the polarity of the voltage and the direction of the current arrow

More information

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM. COURSE: ECE 3084A (Prof. Michaels)

GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM. COURSE: ECE 3084A (Prof. Michaels) GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL & COMPUTER ENGINEERING FINAL EXAM DATE: 30-Apr-14 COURSE: ECE 3084A (Prof. Michaels) NAME: STUDENT #: LAST, FIRST Write your name on the front page

More information

Georgia Institute of Technology School of Electrical and Computer Engineering. Midterm-1 Exam (Solution)

Georgia Institute of Technology School of Electrical and Computer Engineering. Midterm-1 Exam (Solution) Georgia Institute of Technology School of Electrical and Computer Engineering Midterm-1 Exam (Solution) ECE-6414 Spring 2012 Friday, Feb. 17, 2012 Duration: 50min First name Solutions Last name Solutions

More information

Prof. Anyes Taffard. Physics 120/220. Voltage Divider Capacitor RC circuits

Prof. Anyes Taffard. Physics 120/220. Voltage Divider Capacitor RC circuits Prof. Anyes Taffard Physics 120/220 Voltage Divider Capacitor RC circuits Voltage Divider The figure is called a voltage divider. It s one of the most useful and important circuit elements we will encounter.

More information

2005 AP PHYSICS C: ELECTRICITY AND MAGNETISM FREE-RESPONSE QUESTIONS

2005 AP PHYSICS C: ELECTRICITY AND MAGNETISM FREE-RESPONSE QUESTIONS 2005 AP PHYSICS C: ELECTRICITY AND MAGNETISM In the circuit shown above, resistors 1 and 2 of resistance R 1 and R 2, respectively, and an inductor of inductance L are connected to a battery of emf e and

More information

EXPERIMENT 07 TO STUDY DC RC CIRCUIT AND TRANSIENT PHENOMENA

EXPERIMENT 07 TO STUDY DC RC CIRCUIT AND TRANSIENT PHENOMENA EXPERIMENT 07 TO STUDY DC RC CIRCUIT AND TRANSIENT PHENOMENA DISCUSSION The capacitor is a element which stores electric energy by charging the charge on it. Bear in mind that the charge on a capacitor

More information

ECE2262 Electric Circuits. Chapter 6: Capacitance and Inductance

ECE2262 Electric Circuits. Chapter 6: Capacitance and Inductance ECE2262 Electric Circuits Chapter 6: Capacitance and Inductance Capacitors Inductors Capacitor and Inductor Combinations Op-Amp Integrator and Op-Amp Differentiator 1 CAPACITANCE AND INDUCTANCE Introduces

More information

Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur

Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur Module 4 Single-phase circuits ersion EE T, Kharagpur esson 6 Solution of urrent in Parallel and Seriesparallel ircuits ersion EE T, Kharagpur n the last lesson, the following points were described:. How

More information

Chapter 5 Steady-State Sinusoidal Analysis

Chapter 5 Steady-State Sinusoidal Analysis Chapter 5 Steady-State Sinusoidal Analysis Chapter 5 Steady-State Sinusoidal Analysis 1. Identify the frequency, angular frequency, peak value, rms value, and phase of a sinusoidal signal. 2. Solve steady-state

More information

u (t t ) + e ζωn (t tw )

u (t t ) + e ζωn (t tw ) LINEAR CIRCUITS LABORATORY OSCILLATIONS AND DAMPING EFFECT PART I TRANSIENT RESPONSE TO A SQUARE PULSE Transfer Function F(S) = ω n 2 S 2 + 2ζω n S + ω n 2 F(S) = S 2 + 3 RC ( RC) 2 S + 1 RC ( ) 2 where

More information

How many electrons are transferred to the negative plate of the capacitor during this charging process? D (Total 1 mark)

How many electrons are transferred to the negative plate of the capacitor during this charging process? D (Total 1 mark) Q1.n uncharged 4.7 nf capacitor is connected to a 1.5 V supply and becomes fully charged. How many electrons are transferred to the negative plate of the capacitor during this charging process? 2.2 10

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

Schedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review.

Schedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review. Schedule Date Day lass No. 0 Nov Mon 0 Exam Review Nov Tue Title hapters HW Due date Nov Wed Boolean Algebra 3. 3.3 ab Due date AB 7 Exam EXAM 3 Nov Thu 4 Nov Fri Recitation 5 Nov Sat 6 Nov Sun 7 Nov Mon

More information

EE1-01 IMPERIAL COLLEGE LONDON DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2013 ANALYSIS OF CIRCUITS. Tuesday, 28 May 10:00 am

EE1-01 IMPERIAL COLLEGE LONDON DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2013 ANALYSIS OF CIRCUITS. Tuesday, 28 May 10:00 am EE1-01 IMPERIAL COLLEGE LONDON DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2013 ExamHeader: EEE/EIE PART I: MEng, Beng and ACGI ANALYSIS OF CIRCUITS Tuesday, 28 May 10:00 am Time allowed:

More information

ECE3050 Assignment 7

ECE3050 Assignment 7 ECE3050 Assignment 7. Sketch and label the Bode magnitude and phase plots for the transfer functions given. Use loglog scales for the magnitude plots and linear-log scales for the phase plots. On the magnitude

More information

Lecture 11 - AC Power

Lecture 11 - AC Power - AC Power 11/17/2015 Reading: Chapter 11 1 Outline Instantaneous power Complex power Average (real) power Reactive power Apparent power Maximum power transfer Power factor correction 2 Power in AC Circuits

More information

ECE 546 Lecture 11 MOS Amplifiers

ECE 546 Lecture 11 MOS Amplifiers ECE 546 Lecture MOS Amplifiers Spring 208 Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jesa@illinois.edu ECE 546 Jose Schutt Aine Amplifiers Definitions Used to increase

More information

University of Toronto. Final Exam

University of Toronto. Final Exam University of Toronto Final Exam Date - Dec 16, 013 Duration:.5 hrs ECE331 Electronic Circuits Lecturer - D. Johns ANSWER QUESTIONS ON THESE SHEETS USING BACKS IF NECESSARY 1. Equation sheet is on last

More information

Electrical Circuit & Network

Electrical Circuit & Network Electrical Circuit & Network January 1 2017 Website: www.electricaledu.com Electrical Engg.(MCQ) Question and Answer for the students of SSC(JE), PSC(JE), BSNL(JE), WBSEDCL, WBSETCL, WBPDCL, CPWD and State

More information

Test II Michael R. Gustafson II

Test II Michael R. Gustafson II 'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ EGR 224 Spring 2016 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any

More information

Prepare for this experiment!

Prepare for this experiment! Notes on Experiment #8 Theorems of Linear Networks Prepare for this experiment! If you prepare, you can finish in 90 minutes. If you do not prepare, you will not finish even half of this experiment. So,

More information

Switched Capacitor: Sampled Data Systems

Switched Capacitor: Sampled Data Systems Switched Capacitor: Sampled Data Systems Basic switched capacitor theory How has Anadigm utilised this. Theory-Basic SC and Anadigm-1 Resistor & Charge Relationship I + V - I Resistance is defined in terms

More information

1(b) Compensation Example S 0 L U T I 0 N S

1(b) Compensation Example S 0 L U T I 0 N S S 0 L U T I 0 N S Compensation Example I 1U Note: All references to Figures and Equations whose numbers are not preceded by an "S"refer to the textbook. (a) The solution of this problem is outlined in

More information

55:041 Electronic Circuits The University of Iowa Fall Final Exam

55:041 Electronic Circuits The University of Iowa Fall Final Exam Final Exam Name: Score Max: 135 Question 1 (1 point unless otherwise noted) a. What is the maximum theoretical efficiency for a class-b amplifier? Answer: 78% b. The abbreviation/term ESR is often encountered

More information

EECE 2150 Circuits and Signals Final Exam Fall 2016 Dec 16

EECE 2150 Circuits and Signals Final Exam Fall 2016 Dec 16 EECE 2150 Circuits and Signals Final Exam Fall 2016 Dec 16 Instructions: Write your name and section number on all pages Closed book, closed notes; Computers and cell phones are not allowed You can use

More information

mywbut.com Lesson 16 Solution of Current in AC Parallel and Seriesparallel

mywbut.com Lesson 16 Solution of Current in AC Parallel and Seriesparallel esson 6 Solution of urrent in Parallel and Seriesparallel ircuits n the last lesson, the following points were described:. How to compute the total impedance/admittance in series/parallel circuits?. How

More information

DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING RUTGERS UNIVERSITY

DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING RUTGERS UNIVERSITY DEPARTMENT OF EECTRICA AND COMPUTER ENGINEERING RUTGERS UNIVERSITY 330:222 Principles of Electrical Engineering II Spring 2002 Exam 1 February 19, 2002 SOUTION NAME OF STUDENT: Student ID Number (last

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

IMPORTANT Read these directions carefully:

IMPORTANT Read these directions carefully: Physics 208: Electricity and Magnetism Common Exam 2, October 17 th 2016 Print your name neatly: First name: Last name: Sign your name: Please fill in your Student ID number (UIN): _ - - Your classroom

More information

ECE-202 FINAL April 30, 2018 CIRCLE YOUR DIVISION

ECE-202 FINAL April 30, 2018 CIRCLE YOUR DIVISION ECE 202 Final, Spring 8 ECE-202 FINAL April 30, 208 Name: (Please print clearly.) Student Email: CIRCLE YOUR DIVISION DeCarlo- 7:30-8:30 DeCarlo-:30-2:45 2025 202 INSTRUCTIONS There are 34 multiple choice

More information

.. Use of non-programmable scientific calculator is permitted.

.. Use of non-programmable scientific calculator is permitted. This question paper contains 8+3 printed pages] Roll No. S. No. of Question Paper 7981 Cnique Paper Code 1\;ame of the Paper ~ame of the Course Semester Duration : 3 Hours 2511102 Circuit Analysis [DC-1.1]

More information

CHAPTER 6. Inductance, Capacitance, and Mutual Inductance

CHAPTER 6. Inductance, Capacitance, and Mutual Inductance CHAPTER 6 Inductance, Capacitance, and Mutual Inductance 6.1 The Inductor Inductance is symbolized by the letter L, is measured in henrys (H), and is represented graphically as a coiled wire. The inductor

More information

Frequency Dependent Aspects of Op-amps

Frequency Dependent Aspects of Op-amps Frequency Dependent Aspects of Op-amps Frequency dependent feedback circuits The arguments that lead to expressions describing the circuit gain of inverting and non-inverting amplifier circuits with resistive

More information

EE 3CL4: Introduction to Control Systems Lab 4: Lead Compensation

EE 3CL4: Introduction to Control Systems Lab 4: Lead Compensation EE 3CL4: Introduction to Control Systems Lab 4: Lead Compensation Tim Davidson Ext. 27352 davidson@mcmaster.ca Objective To use the root locus technique to design a lead compensator for a marginally-stable

More information

SAMPLE EXAMINATION PAPER

SAMPLE EXAMINATION PAPER IMPERIAL COLLEGE LONDON Design Engineering MEng EXAMINATIONS 2016 For Internal Students of the Imperial College of Science, Technology and Medicine This paper is also taken for the relevant examination

More information

Summary Notes ALTERNATING CURRENT AND VOLTAGE

Summary Notes ALTERNATING CURRENT AND VOLTAGE HIGHER CIRCUIT THEORY Wheatstone Bridge Circuit Any method of measuring resistance using an ammeter or voltmeter necessarily involves some error unless the resistances of the meters themselves are taken

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

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

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

Power System Operations and Control Prof. S.N. Singh Department of Electrical Engineering Indian Institute of Technology, Kanpur. Module 3 Lecture 8

Power System Operations and Control Prof. S.N. Singh Department of Electrical Engineering Indian Institute of Technology, Kanpur. Module 3 Lecture 8 Power System Operations and Control Prof. S.N. Singh Department of Electrical Engineering Indian Institute of Technology, Kanpur Module 3 Lecture 8 Welcome to lecture number 8 of module 3. In the previous

More information

ECE 241L Fundamentals of Electrical Engineering. Experiment 5 Transient Response

ECE 241L Fundamentals of Electrical Engineering. Experiment 5 Transient Response ECE 241L Fundamentals of Electrical Engineering Experiment 5 Transient Response NAME PARTNER A. Objectives: I. Learn how to use the function generator and oscilloscope II. Measure step response of RC and

More information

Physics 4B Chapter 31: Electromagnetic Oscillations and Alternating Current

Physics 4B Chapter 31: Electromagnetic Oscillations and Alternating Current Physics 4B Chapter 31: Electromagnetic Oscillations and Alternating Current People of mediocre ability sometimes achieve outstanding success because they don't know when to quit. Most men succeed because

More information

Alternating Current Circuits

Alternating Current Circuits Alternating Current Circuits AC Circuit An AC circuit consists of a combination of circuit elements and an AC generator or source. The output of an AC generator is sinusoidal and varies with time according

More information

Designing Information Devices and Systems II Fall 2018 Elad Alon and Miki Lustig Discussion 5A

Designing Information Devices and Systems II Fall 2018 Elad Alon and Miki Lustig Discussion 5A EECS 6B Designing Information Devices and Systems II Fall 208 Elad Alon and Miki Lustig Discussion 5A Transfer Function When we write the transfer function of an arbitrary circuit, it always takes the

More information

12 Chapter Driven RLC Circuits

12 Chapter Driven RLC Circuits hapter Driven ircuits. A Sources... -. A ircuits with a Source and One ircuit Element... -3.. Purely esistive oad... -3.. Purely Inductive oad... -6..3 Purely apacitive oad... -8.3 The Series ircuit...

More information

Conventional Paper-I-2011 PART-A

Conventional Paper-I-2011 PART-A Conventional Paper-I-0 PART-A.a Give five properties of static magnetic field intensity. What are the different methods by which it can be calculated? Write a Maxwell s equation relating this in integral

More information