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

Size: px
Start display at page:

Transcription

1 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 the power equation : If we now apply a number of trigonometric identities, the following form for the power equation will result: where V and I are the r.m.s values. The conversion from peak values Vm and Im to r.m.s values resulted from the operations performed using the trigonometric identities. For a purely resistive circuit, v and i are in phase, and θ = 0, as appearing in (Fig. 2). Substituting θ = 0 into Eq. (1), we obtain

2 where VI is the average or dc term and -VI cos 2 is a negative cosine wave with twice the frequency of either input quantity (v or i) and a peak value of VI. Plotting the waveform for pr (Fig. 1), we see that : T1 _ period of input quantities T2 _ period of power curve pr Note that in Fig. (1) the power curve passes through two cycles about its average value of VI for each cycle of either v or i (T 1 = 2T 2 or f 2 = 2f 1 ). Consider also that since the peak and average values of the power curve are the same, the curve is always above the horizontal axis. This indicates that: the total power delivered to a resistor will be dissipated in the form of heat.

3 APPARENT POWER From our analysis of dc networks (and resistive elements above), it would seem apparent that the power delivered to the load of (Fig. 2) is simply determined by the product of the applied voltage and current, with no concern for the components of the load; that is, P= VI. However, the power factor (cos ) of the load will have a pronounced effect on the power dissipated, less pronounced for more reactive loads. Although the product of the voltage and current is not always the power delivered, it is a power rating of significant usefulness in the description and analysis of sinusoidal ac networks and in the maximum rating of a number of electrical components and systems. It is called the apparent power and is represented symbolically by S. Since it is simply the product of voltage and current, its units are voltamperes, for which the abbreviation is VA. Its magnitude is determined by:

4 Or The average power to the load of ( Fig. 2) is: P = VI cos However, S = VI Therefore, power factor: power factor of a system Fp is:

5 The power factor of a circuit, therefore, is the ratio of the average power to the apparent power. For a purely resistive circuit. Also cos =Fp is the angle between the input voltage and current. A) INDUCTIVE CIRCUIT AND REACTIVE POWER For a purely inductive circuit, v leads i by 90, as shown in Fig. (3) Therefore, in Eq. (1), θ= 90. Substituting θ = 90 into Eq. (1) yields:

6 where VI sin2 t is a sine wave with twice the frequency of either input quantity (v or i) and a peak value of VI. Note the absence of an average or constant term in the equation. Plotting the waveform for pl (Fig.3), we obtain: T1 _ period of either input quantity T2 _ period of pl curve Note that over one full cycle of pl (T2), the area above the horizontal axis in (Fig. 3) is exactly equal to that below the axis. This indicates that over a full cycle of pl, the power delivered by the source to the inductor is exactly equal to that returned to the source by the inductor The net flow of power to the pure (ideal) inductor is zero over a full cycle, and no energy is lost in the transaction. The power absorbed or returned by the inductor at any instant of time t1 can be found simply by substituting t1 into Eq. (2). The peak value of the curve VI is defined as the reactive power associated with a pure inductor. In general, the reactive power associated with any circuit is defined to be VI sin v, a factor appearing in the second term of Eq. (1). Note that it is the peak value of that term of the total power equation that produces no

7 net transfer of energy. The symbol for reactive power is Q, and its unit of measure is the volt-ampere reactive (VAR).The Q is derived from the quadrature (90 ) relationship between the various powers, to be discussed in detail in a later section. Therefore, where v is the phase angle between V and I. For the inductor, The apparent power associated with an inductor is S = VI, and the average power is P = 0, as noted in (Fig. 5). The power factor is therefore B) CAPACITIVE CIRCUIT For a purely capacitive circuit, i leads v by 90, as shown in (Fig. 4). Therefore, in Eq. (1), =- 90. Substituting =- 90 into Eq. (1), we obtain Or

8 Where ( -VI sin 2 t) is a negative sine wave with twice the frequency of either input (v or i) and a peak value of VI. Again, note the absence of an average or constant term. Plotting the waveform for PC (Fig. 4) gives us T1 _ period of either input quantity T2 _ period of pc curve Note that the same situation exists here for the pc curve as existed for the pl curve. The power delivered by the source to the capacitor is exactly equal to that returned to the source by the capacitor over one full cycle. The net flow of power to the pure (ideal) capacitor is zero over a full cycle,

9 and no energy is lost in the transaction. The power absorbed or returned by the capacitor at any instant of time t1 can be found by substituting t1 into Eq. (3). The reactive power associated with the capacitor is equal to the peak value of the pc curve, as follows: But, since V= IXC and I =V/XC, the reactive power to the capacitor can also be written And The apparent power associated with the capacitor is and the average power is P= 0, as noted from Eq. (3) or( Fig.4). The power factor is, therefore: = cos -1 F p THE POWER TRIANGLE The three quantities average power, apparent power, and reactive power can be related in the vector domain by With

10 for an inductive load as in fig.(5) : for capacitive load as in fig.(6): 1- PROCEDURE: a-connect the (R.L) circuit as as shown in fig.(7). Fig.(7)

11 1-Adjust the function generator to give (10 v p.p )(170) Hz. 2-tabulate your results in table as shown in table (1) (I) TOTAL V L V R 3- On oscilloscope draw V L,V R, F p Note: the voltage on the resister (1) ohm has the same shape of the current through the cct. REQUIREMENTS: 1- Find Z T theoretically 2- Find I TOTAL theoretically and compare it with practical result. 3- Find V R, V L, theoretically and compare it with practical result 4- Find P T, S T, Q T 5- Find power factor F p theoretically and compare it with practical result. b- Connect the (R.C) cct. As shown in fig (8) Fig.(8) 1-Adjust the function generator to give (10 v p.p (170) Hz. 2-tabulate your results in table as shown in table (٢) (I) TOTAL V C V R 3- On oscilloscope draw V C,V R,F p

12 Note: the voltage on the resister (1) ohm has the same shape of the current through the cct. REQUIREMENTS: 1- Find Z T theoretically 2- Find I TOTAL theoretically and compare it with practical result. 3- Find V R, V L, theoretically and compare it with practical result 4- Find P T, S T, Q T 5- Find power factor F p, theoretically and compare it with practical result C- Connect the (R,L,C) cct. As shown in fig (9) Fig. (9) 1-Adjust the function generator to give (١٠ v p.p) (1٧0) Hz. 2- at first let L=550 mh,c=20 microfarad,then let L=100mH,C=2microfarad 3-tabulate your results in table as shown in table (3) (I) TOTAL V L V C 4-on oscilloscope draw V input, V R (1 ohm), F p

13 Note: the voltage on the resister (1) ohm has the same shape of the current through the cct.. REQUIREMENTS: 1- Find Z T theoretically 2- Find I TOTAL theoretically and compare it with practical result. 3- Find V R, V L, theoretically and compare it with practical result 4- Find P T, S T, Q T 5- Find power factor F p theoretically and compare it with practical result 6 - Draw the power triangle with. DISCUSSION: 1-Comment on your results. 2- An electrical device is rated 5 KVA, 100 V at a 0.6 power-factor lag. What is the Impedance of the device in rectangular coordinates? What is the type of the circuit? Draw it.

### 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

### 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

### AC Power Analysis. Chapter Objectives:

AC Power Analysis Chapter Objectives: Know the difference between instantaneous power and average power Learn the AC version of maximum power transfer theorem Learn about the concepts of effective or value

### 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

### 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

### 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

### Refresher course on Electrical fundamentals (Basics of A.C. Circuits) by B.M.Vyas

Refresher course on Electrical fundamentals (Basics of A.C. Circuits) by B.M.Vyas A specifically designed programme for Da Afghanistan Breshna Sherkat (DABS) Afghanistan 1 Areas Covered Under this Module

### Module 4. Single-phase AC Circuits

Module 4 Single-phase AC Circuits Lesson 14 Solution of Current in R-L-C Series Circuits In the last lesson, two points were described: 1. How to represent a sinusoidal (ac) quantity, i.e. voltage/current

### 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

### Circuit Analysis-II. Circuit Analysis-II Lecture # 5 Monday 23 rd April, 18

Circuit Analysis-II Capacitors in AC Circuits Introduction ü The instantaneous capacitor current is equal to the capacitance times the instantaneous rate of change of the voltage across the capacitor.

### 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

### Handout 11: AC circuit. AC generator

Handout : AC circuit AC generator Figure compares the voltage across the directcurrent (DC) generator and that across the alternatingcurrent (AC) generator For DC generator, the voltage is constant For

### 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

### Boise State University Department of Electrical and Computer Engineering ECE 212L Circuit Analysis and Design Lab

Objectives Boise State University Department of Electrical and Computer Engineering ECE 22L Circuit Analysis and Design Lab Experiment #4: Power Factor Correction The objectives of this laboratory experiment

### 1 Phasors and Alternating Currents

Physics 4 Chapter : Alternating Current 0/5 Phasors and Alternating Currents alternating current: current that varies sinusoidally with time ac source: any device that supplies a sinusoidally varying potential

### Pre-Lab. Introduction

Pre-Lab Read through this entire lab. Perform all of your calculations (calculated values) prior to making the required circuit measurements. You may need to measure circuit component values to obtain

### BASIC PRINCIPLES. Power In Single-Phase AC Circuit

BASIC PRINCIPLES Power In Single-Phase AC Circuit Let instantaneous voltage be v(t)=v m cos(ωt+θ v ) Let instantaneous current be i(t)=i m cos(ωt+θ i ) The instantaneous p(t) delivered to the load is p(t)=v(t)i(t)=v

### ELECTROMAGNETIC OSCILLATIONS AND ALTERNATING CURRENT

Chapter 31: ELECTROMAGNETIC OSCILLATIONS AND ALTERNATING CURRENT 1 A charged capacitor and an inductor are connected in series At time t = 0 the current is zero, but the capacitor is charged If T is the

### 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]

### 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

### Chapter 32A AC Circuits. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University

Chapter 32A AC Circuits A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 2007 Objectives: After completing this module, you should be able to: Describe

### 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/

### Lecture 05 Power in AC circuit

CA2627 Building Science Lecture 05 Power in AC circuit Instructor: Jiayu Chen Ph.D. Announcement 1. Makeup Midterm 2. Midterm grade Grade 25 20 15 10 5 0 10 15 20 25 30 35 40 Grade Jiayu Chen, Ph.D. 2

### Electromagnetic Oscillations and Alternating Current. 1. Electromagnetic oscillations and LC circuit 2. Alternating Current 3.

Electromagnetic Oscillations and Alternating Current 1. Electromagnetic oscillations and LC circuit 2. Alternating Current 3. RLC circuit in AC 1 RL and RC circuits RL RC Charging Discharging I = emf R

### Learnabout Electronics - AC Theory

Learnabout Electronics - AC Theory Facts & Formulae for AC Theory www.learnabout-electronics.org Contents AC Wave Values... 2 Capacitance... 2 Charge on a Capacitor... 2 Total Capacitance... 2 Inductance...

### Coulomb s constant k = 9x10 9 N m 2 /C 2

1 Part 2: Electric Potential 2.1: Potential (Voltage) & Potential Energy q 2 Potential Energy of Point Charges Symbol U mks units [Joules = J] q 1 r Two point charges share an electric potential energy

### 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

### 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

### Exercise 2: Power Factor

Power in AC Circuits AC 2 Fundamentals Exercise 2: Power Factor EXERCISE OBJECTIVE When you have completed this exercise, you will be able to determine the power factor of ac circuits by using standard

### 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.

### Chapter 10: Sinusoidal Steady-State Analysis

Chapter 10: Sinusoidal Steady-State Analysis 1 Objectives : sinusoidal functions Impedance use phasors to determine the forced response of a circuit subjected to sinusoidal excitation Apply techniques

### Review of DC Electric Circuit. DC Electric Circuits Examples (source:

Review of DC Electric Circuit DC Electric Circuits Examples (source: http://hyperphysics.phyastr.gsu.edu/hbase/electric/dcex.html) 1 Review - DC Electric Circuit Multisim Circuit Simulation DC Circuit

### Single Phase Parallel AC Circuits

Single Phase Parallel AC Circuits 1 Single Phase Parallel A.C. Circuits (Much of this material has come from Electrical & Electronic Principles & Technology by John Bird) n parallel a.c. circuits similar

### Chapter 10 Objectives

Chapter 10 Engr8 Circuit Analysis Dr Curtis Nelson Chapter 10 Objectives Understand the following AC power concepts: Instantaneous power; Average power; Root Mean Squared (RMS) value; Reactive power; Coplex

### Chapter 33. Alternating Current Circuits

Chapter 33 Alternating Current Circuits 1 Capacitor Resistor + Q = C V = I R R I + + Inductance d I Vab = L dt AC power source The AC power source provides an alternative voltage, Notation - Lower case

### PHYS 241 EXAM #2 November 9, 2006

1. ( 5 points) A resistance R and a 3.9 H inductance are in series across a 60 Hz AC voltage. The voltage across the resistor is 23 V and the voltage across the inductor is 35 V. Assume that all voltages

### 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

### 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

### EE 242 EXPERIMENT 8: CHARACTERISTIC OF PARALLEL RLC CIRCUIT BY USING PULSE EXCITATION 1

EE 242 EXPERIMENT 8: CHARACTERISTIC OF PARALLEL RLC CIRCUIT BY USING PULSE EXCITATION 1 PURPOSE: To experimentally study the behavior of a parallel RLC circuit by using pulse excitation and to verify that

### 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

### 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

### 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,

### The Basic Elements and Phasors

4 The Basic Elements and Phasors 4. INTRODUCTION The response of the basic R, L, and C elements to a sinusoidal voltage and current will be examined in this chapter, with special note of how frequency

### PARALLEL A.C. CIRCUITS

C H A P T E R 4 earning Objectives Solving Parallel Circuits Vector or Phasor Method Admittance Method Application of Admittance Method Complex or Phasor Algebra Series-Parallel Circuits Series Equivalent

### 2. Basic Components and Electrical Circuits

1 2. Basic Components and Electrical Circuits 2.1 Units and Scales The International System of Units (SI) defines 6 principal units from which the units of all other physical quantities can be derived

### 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......................

### CHAPTER 22 ELECTROMAGNETIC INDUCTION

CHAPTER 22 ELECTROMAGNETIC INDUCTION PROBLEMS 47. REASONING AND Using Equation 22.7, we find emf 2 M I or M ( emf 2 ) t ( 0.2 V) ( 0.4 s) t I (.6 A) ( 3.4 A) 9.3 0 3 H 49. SSM REASONING AND From the results

### Electrical Circuits Lab Series RC Circuit Phasor Diagram

Electrical Circuits Lab. 0903219 Series RC Circuit Phasor Diagram - Simple steps to draw phasor diagram of a series RC circuit without memorizing: * Start with the quantity (voltage or current) that is

### ECE 241L Fundamentals of Electrical Engineering. Experiment 6 AC Circuits

ECE 241L Fundamentals of Electrical Engineering Experiment 6 AC Circuits A. Objectives: Objectives: I. Calculate amplitude and phase angles of a-c voltages and impedances II. Calculate the reactance and

### Electrical Eng. fundamental Lecture 1

Electrical Eng. fundamental Lecture 1 Contact details: h-elhelw@staffs.ac.uk Introduction Electrical systems pervade our lives; they are found in home, school, workplaces, factories,

### 04-Electric Power. ECEGR 452 Renewable Energy Systems

04-Electric Power ECEGR 452 Renewable Energy Systems Overview Review of Electric Circuits Phasor Representation Electrical Power Power Factor Dr. Louie 2 Introduction Majority of the electrical energy

### Series and Parallel ac Circuits

Series and Parallel ac Circuits 15 Objectives Become familiar with the characteristics of series and parallel ac networks and be able to find current, voltage, and power levels for each element. Be able

### EE292: Fundamentals of ECE

EE292: Fundamentals of ECE Fall 2012 TTh 10:00-11:15 SEB 1242 Lecture 18 121025 http://www.ee.unlv.edu/~b1morris/ee292/ 2 Outline Review RMS Values Complex Numbers Phasors Complex Impedance Circuit Analysis

### Figure 5.2 Instantaneous Power, Voltage & Current in a Resistor

ower in the Sinusoidal Steady-State ower is the rate at which work is done by an electrical component. It tells us how much heat will be produced by an electric furnace, or how much light will be generated

### VTU E-LEARNING NOTES ON:

VTU E-LEARNING NOTES ON: 10EE35 ELECTRICAL AND ELECTRONIC MEASUREMENTS AND INSTRUMENTATION BY DR. M.S. RAVIPRAKASHA PROFESSOR & HEAD DEPT. OF E&E ENGG. MALNAD COLLEGE OF ENGG. HASSAN 573 201. SUBJECT CODE

### 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

### PESIT Bangalore South Campus Hosur road, 1km before Electronic City, Bengaluru -100 Department of Electronics & Communication Engineering

QUESTION PAPER INTERNAL ASSESSMENT TEST 2 Date : /10/2016 Marks: 0 Subject & Code: BASIC ELECTRICAL ENGINEERING -15ELE15 Sec : F,G,H,I,J,K Name of faculty : Dhanashree Bhate, Hema B, Prashanth V Time :

### EDEXCEL NATIONALS UNIT 5 - ELECTRICAL AND ELECTRONIC PRINCIPLES. ASSIGNMENT No.2 - CAPACITOR NETWORK

EDEXCEL NATIONALS UNIT 5 - ELECTRICAL AND ELECTRONIC PRINCIPLES ASSIGNMENT No.2 - CAPACITOR NETWORK NAME: I agree to the assessment as contained in this assignment. I confirm that the work submitted is

### True Power vs. Apparent Power: Understanding the Difference Nicholas Piotrowski, Associated Power Technologies

True Power vs. Apparent Power: Understanding the Difference Nicholas Piotrowski, Associated Power Technologies Introduction AC power sources are essential pieces of equipment for providing flexible and

### 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

### 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

### Exercise 1: RC Time Constants

Exercise 1: RC EXERCISE OBJECTIVE When you have completed this exercise, you will be able to determine the time constant of an RC circuit by using calculated and measured values. You will verify your results

### LO 1: Three Phase Circuits

Course: EEL 2043 Principles of Electric Machines Class Instructor: Dr. Haris M. Khalid Email: hkhalid@hct.ac.ae Webpage: www.harismkhalid.com LO 1: Three Phase Circuits Three Phase AC System Three phase

### cancel each other out. Thus, we only need to consider magnetic field produced by wire carrying current 2.

PC1143 2011/2012 Exam Solutions Question 1 a) Assumption: shells are conductors. Notes: the system given is a capacitor. Make use of spherical symmetry. Energy density, =. in this case means electric field

### Module 4. Single-phase AC Circuits. Version 2 EE IIT, Kharagpur 1

Module 4 Single-phase A ircuits ersion EE IIT, Kharagpur esson 4 Solution of urrent in -- Series ircuits ersion EE IIT, Kharagpur In the last lesson, two points were described:. How to represent a sinusoidal

### Circuit Analysis-III. Circuit Analysis-II Lecture # 3 Friday 06 th April, 18

Circuit Analysis-III Sinusoids Example #1 ü Find the amplitude, phase, period and frequency of the sinusoid: v (t ) =12cos(50t +10 ) Signal Conversion ü From sine to cosine and vice versa. ü sin (A ± B)

### Toolbox: Electrical Systems Dynamics

Toolbox: Electrical Systems Dynamics Dr. John C. Wright MIT - PSFC 05 OCT 2010 Introduction Outline Outline AC and DC power transmission Basic electric circuits Electricity and the grid Image removed due

### Objects usually are charged up through the transfer of electrons from one object to the other.

1 Part 1: Electric Force Review of Vectors Review your vectors! You should know how to convert from polar form to component form and vice versa add and subtract vectors multiply vectors by scalars Find

### ECE 421/521 Electric Energy Systems Power Systems Analysis I 2 Basic Principles. Instructor: Kai Sun Fall 2013

ECE 41/51 Electric Energy Systems Power Systems Analysis I Basic Principles Instructor: Kai Sun Fall 013 1 Outline Power in a 1-phase AC circuit Complex power Balanced 3-phase circuit Single Phase AC System

### Physics 142 AC Circuits Page 1. AC Circuits. I ve had a perfectly lovely evening but this wasn t it. Groucho Marx

Physics 142 A ircuits Page 1 A ircuits I ve had a perfectly lovely evening but this wasn t it. Groucho Marx Alternating current: generators and values It is relatively easy to devise a source (a generator

### Alternating Current. Chapter 31. PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman

Chapter 31 Alternating Current PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by James Pazun Modified by P. Lam 8_8_2008 Topics for Chapter 31

### Part 4: Electromagnetism. 4.1: Induction. A. Faraday's Law. The magnetic flux through a loop of wire is

1 Part 4: Electromagnetism 4.1: Induction A. Faraday's Law The magnetic flux through a loop of wire is Φ = BA cos θ B A B = magnetic field penetrating loop [T] A = area of loop [m 2 ] = angle between field

### 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

### Electricity and Light Pre Lab Questions

Electricity and Light Pre Lab Questions The pre lab questions can be answered by reading the theory and procedure for the related lab. You are strongly encouraged to answers these questions on your own.

### 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

### General Physics (PHY 2140)

General Physics (PHY 2140) Lecture 10 6/12/2007 Electricity and Magnetism Induced voltages and induction Self-Inductance RL Circuits Energy in magnetic fields AC circuits and EM waves Resistors, capacitors

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.

### Review of Basic Electrical and Magnetic Circuit Concepts EE

Review of Basic Electrical and Magnetic Circuit Concepts EE 442-642 Sinusoidal Linear Circuits: Instantaneous voltage, current and power, rms values Average (real) power, reactive power, apparent power,

### REVIEW EXERCISES. 2. What is the resulting action if switch (S) is opened after the capacitor (C) is fully charged? Se figure 4.27.

REVIEW EXERCISES Circle the letter of the correct answer to each question. 1. What is the current and voltage relationship immediately after the switch is closed in the circuit in figure 4-27, which shows

### Electromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance

Lesson 7 Electromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance Oscillations in an LC Circuit The RLC Circuit Alternating Current Electromagnetic

### Chapter 31: AC Circuits

hapter 31: A ircuits A urrents and Voltages In this chapter, we discuss the behior of circuits driven by a source of A. Recall that A means, literally, alternating current. An alternating current is a

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)

### Lecture 21. Resonance and power in AC circuits. Physics 212 Lecture 21, Slide 1

Physics 1 ecture 1 esonance and power in A circuits Physics 1 ecture 1, Slide 1 I max X X = w I max X w e max I max X X = 1/w I max I max I max X e max = I max Z I max I max (X -X ) f X -X Physics 1 ecture

### 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

### Announcements: Today: more AC circuits

Announcements: Today: more AC circuits I 0 I rms Current through a light bulb I 0 I rms I t = I 0 cos ωt I 0 Current through a LED I t = I 0 cos ωt Θ(cos ωt ) Theta function (is zero for a negative argument)

### 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

### ELECTRO MAGNETIC INDUCTION

ELECTRO MAGNETIC INDUCTION 1) A Circular coil is placed near a current carrying conductor. The induced current is anti clock wise when the coil is, 1. Stationary 2. Moved away from the conductor 3. Moved

### LINEAR CIRCUIT ANALYSIS (EED) U.E.T. TAXILA 09

LINEAR CIRCUIT ANALYSIS (EED) U.E.T. TAXILA 09 ENGR. M. MANSOOR ASHRAF INTRODUCTION Thus far our analysis has been restricted for the most part to dc circuits: those circuits excited by constant or time-invariant

### 10.1 COMPLEX POWER IN CIRCUITS WITH AC SIGNALS

HAPER 10 Power in A ircuits HAPER OUINE 10.1 omplex Power in ircuits with A ignals 10. How to alculate omplex Power 10.3 omplex Power alculations in eries Parallel ircuits 10.4 Power Factor and pf orrection

### Alternating Current Circuits. Home Work Solutions

Chapter 21 Alternating Current Circuits. Home Work s 21.1 Problem 21.11 What is the time constant of the circuit in Figure (21.19). 10 Ω 10 Ω 5.0 Ω 2.0µF 2.0µF 2.0µF 3.0µF Figure 21.19: Given: The circuit

### 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.

### .. 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]

### UNIVERSITY OF BOLTON SCHOOL OF ENGINEERING BENG (HONS) ELECTRICAL & ELECTRONICS ENGINEERING EXAMINATION SEMESTER /2018

ENG009 SCHOOL OF ENGINEERING BENG (HONS) ELECTRICAL & ELECTRONICS ENGINEERING INTERMEDIATE ELECTRICAL PRINCIPLES & ENABLING POWER ELECTRONICS MODULE NO: EEE5003 Date: 15 January 2018 Time: 10.00 12.00

### 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

### NZQA registered unit standard version 2 Page 1 of 6

Page 1 of 6 Title Demonstrate and apply knowledge of capacitance, inductance, power factor, and power factor correction Level 3 Credits 7 Purpose This unit standard covers an introduction to alternating

### Phys 2025, First Test. September 20, minutes Name:

Phys 05, First Test. September 0, 011 50 minutes Name: Show all work for maximum credit. Each problem is worth 10 points. Work 10 of the 11 problems. k = 9.0 x 10 9 N m / C ε 0 = 8.85 x 10-1 C / N m e

### Industrial Technology: Electronic Technology Crosswalk to AZ Math Standards

Page 1 of 1 August 1998 1M-P1 Compare and contrast the real number system and its various subsystems with regard to their structural characteristics. PO 2 PO 3 2.0 Apply mathematics calculations. 2.1 Apply

### 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,