Section 20.1 Electric Charge and Static Electricity (pages )

Size: px
Start display at page:

Download "Section 20.1 Electric Charge and Static Electricity (pages )"

Transcription

1 Nme Clss Dte Section 20.1 Electric Chrge nd Sttic (pges ) This section explins how electric chrge is creted nd how positive nd negtive chrges ffect ech other. It lso discusses the different wys tht electric chrge cn e trnsferred. Reding Strtegy (pge 600) Identifying Min Ides Copy the tle on seprte sheet of pper. As you red, write the min ides. For more informtion on this Reding Strtegy, see the Reding nd Study Skills in the Skills nd Reference Hndook t the end of your textook. Topic Electric Chrge Electric Forces Chrcteristics of Electric Chrge Min Ide An excess or shortge of electrons produces net electric chrge. Like chrges repel nd opposite chrges ttrct. Electric Fields Sttic The strength of field depends on the net chrge nd distnce from the chrge. Chrge cn e trnsferred y friction, contct, nd induction. Person Eduction, Inc., pulishing s Person Prentice Hll. All rights reserved. Electric Chrge (pges ) 1. Wht re the two types of electric chrge?. Positive. 2. Is the following sentence or? In n tom, negtively chrged electrons surround positively chrged nucleus. 3. Is the following sentence or? If neutrl tom gins one or more electrons, it ecomes positively chrged ion. 4. Wht is the SI unit of electric chrge? Negtive The coulom Electric Forces (pge 601) 5. Circle the letter of ech sentence tht is out electric force.. Like chrges ttrct nd opposite chrges repel.. Electric force is the ttrction or repulsion etween electriclly chrged ojects. c. Electric force is inversely proportionl to the mount of chrge. d. Electric force is inversely proportionl to the squre of the distnce etween two chrges. Physicl Science Reding nd Study Workook 239

2 Person Eduction, Inc., pulishing s Person Prentice Hll. All rights reserved. Nme Clss Dte 6. Which re stronger inside n tom, electric forces or grvittionl forces? Electric forces re stronger. 7. Is the following sentence or? Electric forces cuse friction nd other contct forces. Electric Fields (pge 602) 8. A chrge s electric field is the effect the chrge hs on other chrges in the spce round it. 9. Circle the letters of the fctors tht the strength of n electric field depends on.. the direction of the field. whether the chrge is positive or negtive c. the mount of chrge tht produces the field d. the distnce from the chrge 10. Is the following sentence or? The field of negtive chrge points wy from the chrge. Sttic nd Chrging (pges ) 11. Sttic electricity is the study of the ehvior of electric chrges. 12. Is the following sentence or? Chrge cn e trnsferred y friction, y contct, nd y induction. 13. Wht is the lw of conservtion of chrge? is constnt. The totl chrge in n isolted system 14. Ruing lloon on your hir is n exmple of chrging y friction. 15. A chrge trnsfer etween ojects tht touch ech other is clled chrging y contct. 16. Circle the letter of ech sentence tht is out chrging.. When you ru lloon on your hir, your hir loses electrons nd ecomes positively chrged.. The sphere of Vn de Grff genertor trnsfers ll of its chrge to you when you touch it. c. Induction occurs when chrge is trnsferred without contct etween mterils. d. Sttic chrges cnnot move. Sttic Dischrge (pge 603) 17. Is the following sentence or? Sttic dischrge occurs when pthwy through which chrges cn move forms suddenly. 18. How does lightning occur? Negtive chrge in the lower prt of storm cloud induces positive chrge in the ground elow the cloud. Eventully the ir ecomes chrged, forming pthwy for the electrons to trvel from the cloud to the ground. 240 Physicl Science Reding nd Study Workook

3 Nme Clss Dte Section 20.2 Electric Current nd Ohm s Lw (pges ) This section discusses electric current, resistnce, nd voltge. It lso uses Ohm s Lw to explin how voltge, current, nd resistnce re relted. Reding Strtegy (pge 604) Predicting Before you red, write prediction of wht electric current is in the tle elow. After you red, if your prediction ws incorrect or incomplete, write wht electric current ctully is. For more informtion on this Reding Strtegy, see the Reding nd Study Skills in the Skills nd Reference Hndook t the end of your textook. Electric Current Proly Mens Smple nswer: Current is moving chrge. Electric Current Electric Current Actully Mens Electric current is continuous flow of chrge. Electric Current (pge 604) 1. Wht is electric current? Electric current is continuous flow of chrge. Person Eduction, Inc., pulishing s Person Prentice Hll. All rights reserved. 2. Complete the following tle out electric current. Electric Current Type of Current How Chrge Flows Exmples Direct One direction Flshlight Alternting Two directions Home or school 3. Electrons flow in the wire from (n) terminl to (n) positive terminl. Conductors nd Insultors (pge 605) 4. Wht is n electricl conductor? chrge cn esily flow. 5. Wht is n electricl insultor? cnnot esily flow. negtive An electricl conductor is mteril through which An electricl insultor is mteril through which chrge 6. Is the following sentence or? Metls re good conductors ecuse they do not hve freely moving electrons. Physicl Science Reding nd Study Workook 241

4 Person Eduction, Inc., pulishing s Person Prentice Hll. All rights reserved. Nme Clss Dte Mtch ech mteril to the ctegory of conductor or insultor. Mteril Ctegory 7. Copper. conductor 8. Plstic. insultor 9. Ruer 10. Silver 11. Wood Resistnce (pge 605) 12. Explin why the current is reduced s electrons move through conductor. The electrons collide with electrons nd ions. These collisions convert some kinetic energy into therml energy, leving less energy to move the electrons. 13. Circle the letter of ech fctor tht ffects mteril s resistnce.. its length. its temperture c. its velocity d. its thickness 14. Wht is superconductor? when it is cooled to low tempertures. A superconductor is mteril tht hs lmost zero resistnce Voltge (pge 606) Mtch ech term to its definition. Definition Term c 15. A device tht converts chemicl energy to electricl energy 16. Requires complete loop 17. The difference in electricl potentil energy etween two plces in n electric field. flow of chrge. voltge c. ttery 18. Is the following sentence or? Three common voltge sources re tteries, solr cells, nd genertors. Ohm s Lw (pge 607) 19. Is the following sentence or? According to Ohm s lw, the voltge in circuit equls the product of the energy nd the resistnce. 20. Douling the voltge in circuit doules the current if resistnce is held constnt. 21. Is the following sentence or? Douling the resistnce in circuit will hlve the current if voltge is held constnt. 242 Physicl Science Reding nd Study Workook

5 Nme Clss Dte Section 20.3 Electric Circuits (pges ) This section descries circuit digrms nd types of circuits. It lso explins clcultion of electric power nd electric energy nd discusses electricl sfety. Reding Strtegy (pge 609) Relting Text nd Visuls As you red out household circuits, complete the tle y listing three things the digrm in Figure 13 helps you understnd out circuits. For more informtion on this Reding Strtegy, see the Reding nd Study Skills in the Skills nd Reference Hndook t the end of your textook. Understnding Circuit Digrm Wht Cn Be Seen in the Circuit Digrm? Wire ringing current from outside Grounding wire Seprte circuit for the lights Seprte circuit for the dryer Person Eduction, Inc., pulishing s Person Prentice Hll. All rights reserved. Circuit Digrms (pges ) 1. Circuit digrms use to represent prts of circuit, including source of electricl energy nd devices tht re run y the electricl energy. Mtch ech symol to wht it indictes on circuit digrm. Symol Wht Symol Indictes c Series Circuits (pge 610) 5. Is the following sentence or? In series circuit, if one element stops functioning, then none of the elements cn operte. 6. Explin why the uls shine less rightly when more uls re dded to series circuit. the current. Prllel Circuits (pge 610) symols. The direction of current. A negtive terminl c. A positive terminl Adding more uls increses the resistnce, which decreses 7. Is the following sentence or? Circuits in home re rrely wired in prllel. 8. If one element stops functioning in prllel circuit, the rest of the elements cn still operte. Physicl Science Reding nd Study Workook 243

6 Person Eduction, Inc., pulishing s Person Prentice Hll. All rights reserved. Nme Clss Dte Power nd Energy Clcultions (pges ) 9. The rte t which electricl energy is converted to nother form of energy is clled electric power. 10. The SI unit of electric power is the joule per second, or wtt, which is revited W. 11. Is the following sentence or? Electric power is clculted y multiplying current times voltge. 12. Write the formul for clculting electricl energy. E P t 13. The unit of energy usully used y electric power compnies is the kilowtt-hour. Electricl Sfety (pges ) 14. Circle the letters of wht could hppen if the current in wire exceeds the circuit s sfety limit.. The wire could overhet.. The wire could get cooler. c. A fire could strt. d. A fuse could low. 15. Explin how fuse prevents current overlod in circuit. fuse melts, which stops the flow of chrge in the circuit. A wire in the center of the 16. A switch tht opens to prevent overlods when current in circuit is too high is clled (n) circuit reker. 17. Explin why touching n electricl device with wet hnds is dngerous. Your hnds conduct electricity more redily when they re wet. 18. Is the following sentence or? A ground-fult circuit interrupter shuts down the circuit if the current flowing through the circuit nd current returning to ground re equl. 19. The trnsfer of excess chrge through conductor to Erth is clled grounding. 20. Complete the following tle out equipment used to prevent electricl ccidents. Equipment to Equipment to Equipment to Prevent Current Protect People Prevent Short Overlod from Shock Circuits. Fuse. Insultion e. Insultion Circuit reker c. Three-prong plug Grounding wire d. Ground-fult circuit interrupter 244 Physicl Science Reding nd Study Workook

7 Nme Clss Dte Section 20.4 Electronic Devices (pges ) This section discusses how vrious electronic devices operte nd wht they re used for. Reding Strtegy (pge 618) Summrizing Copy the tle on seprte sheet of pper. As you red, complete the tle to summrize wht you lerned out solidstte components. For more informtion on this Reding Strtegy, see the Reding nd Study Skills in the Skills nd Reference Hndook t the end of your textook. Solid Stte Components Solid-Stte Component Description Uses Diode Electrons flow from n Chnge lternting current n-type to p-type to direct current semiconductor. Person Eduction, Inc., pulishing s Person Prentice Hll. All rights reserved. Trnsistor Integrted Circuit Electronic Signls (pges ) Mtch ech term to its definition. c d Definition A smll current flows through the middle lyer of three lyers of semiconductors, chnging the resistnce. A thin slice of silicon tht contins mny solid-stte components 1. Informtion sent s ptterns in the controlled flow of electrons through circuit 2. The science of using electric current to process or trnsmit informtion 3. A smoothly vrying signl produced y continuously chnging the voltge or current in circuit 4. A signl tht encodes informtion s string of 1 s nd 0 s Switch, mplifier Moile phones, pgers, computers Term. electronics. nlog signl c. electronic signl d. digitl signl 5. Which type of signl is usully used y n AM rdio sttion? Anlog signls re used y AM rdio sttions. 6. Is the following sentence or? Anlog signls re more relile thn digitl signls. Physicl Science Reding nd Study Workook 245

8 Person Eduction, Inc., pulishing s Person Prentice Hll. All rights reserved. Nme Clss Dte Vcuum Tues (pge 619) 7. Circle the letter of ech item tht is out vcuum tues.. cn chnge lternting current to direct current. never urn out c. cn increse the strength of signl d. cn turn current on or off 8. Is the following sentence or? An imge is produced in CRT when phosphors glow red, green, nd lue in response to electron ems. Semiconductors (pge 621) 9. Wht is semiconductor? only under certin conditions. A semiconductor is crystlline solid tht conducts current 10. Nme the two types of semiconductors.. p-type. n-type 11. Circle the letter of ech sentence tht is out p-type semiconductor.. It cn e mde y dding trce mount of oron to silicon.. Electrons re ttrcted to positively chrged holes t ech oron tom. c. As the electrons jump from hole to hole, it looks like flow of positive chrge. d. Boron toms provide wekly ound electrons tht cn flow. 12. Is the following sentence or? In n n-type semiconductor, wekly ound electrons cn conduct current. Solid-Stte Components (pges ) Mtch ech term to its definition. Term c 13. diode 14. trnsistor 15. integrted circuit Definition. A solid-stte component with three lyers of semiconductors. A thin slice of silicon tht contins mny solid-stte components c. A solid-stte component tht comines n n-type nd p-type semiconductor 16. A chip or microchip is nother nme for (n). Communictions Technology (pge 622) 17. Why is it useful for communiction devices to use microchips? them more portle, relile, nd ffordle. integrted circuit Microchips mke 18. A moile phone cn store dt such s phone numers ecuse cpcitors store electric chrge 246 Physicl Science Reding nd Study Workook.

Name Class Date. Match each phrase with the correct term or terms. Terms may be used more than once.

Name Class Date. Match each phrase with the correct term or terms. Terms may be used more than once. Exercises 341 Flow of Chrge (pge 681) potentil difference 1 Chrge flows when there is between the ends of conductor 2 Explin wht would hppen if Vn de Grff genertor chrged to high potentil ws connected

More information

200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes

200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes PHYSICS 132 Smple Finl 200 points 5 Problems on 4 Pges nd 20 Multiple Choice/Short Answer Questions on 5 pges 1 hour, 48 minutes Student Nme: Recittion Instructor (circle one): nme1 nme2 nme3 nme4 Write

More information

DIRECT CURRENT CIRCUITS

DIRECT CURRENT CIRCUITS DRECT CURRENT CUTS ELECTRC POWER Consider the circuit shown in the Figure where bttery is connected to resistor R. A positive chrge dq will gin potentil energy s it moves from point to point b through

More information

Reading from Young & Freedman: For this topic, read the introduction to chapter 24 and sections 24.1 to 24.5.

Reading from Young & Freedman: For this topic, read the introduction to chapter 24 and sections 24.1 to 24.5. PHY1 Electricity Topic 5 (Lectures 7 & 8) pcitors nd Dielectrics In this topic, we will cover: 1) pcitors nd pcitnce ) omintions of pcitors Series nd Prllel 3) The energy stored in cpcitor 4) Dielectrics

More information

CAPACITORS AND DIELECTRICS

CAPACITORS AND DIELECTRICS Importnt Definitions nd Units Cpcitnce: CAPACITORS AND DIELECTRICS The property of system of electricl conductors nd insultors which enbles it to store electric chrge when potentil difference exists between

More information

Physics 2135 Exam 1 February 14, 2017

Physics 2135 Exam 1 February 14, 2017 Exm Totl / 200 Physics 215 Exm 1 Ferury 14, 2017 Printed Nme: Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the est or most nerly correct nswer. 1. Two chrges 1 nd 2 re seprted

More information

Chapter E - Problems

Chapter E - Problems Chpter E - Prolems Blinn College - Physics 2426 - Terry Honn Prolem E.1 A wire with dimeter d feeds current to cpcitor. The chrge on the cpcitor vries with time s QHtL = Q 0 sin w t. Wht re the current

More information

Physics 202, Lecture 10. Basic Circuit Components

Physics 202, Lecture 10. Basic Circuit Components Physics 202, Lecture 10 Tody s Topics DC Circuits (Chpter 26) Circuit components Kirchhoff s Rules RC Circuits Bsic Circuit Components Component del ttery, emf Resistor Relistic Bttery (del) wire Cpcitor

More information

Physics 1402: Lecture 7 Today s Agenda

Physics 1402: Lecture 7 Today s Agenda 1 Physics 1402: Lecture 7 Tody s gend nnouncements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW ssignments, solutions etc. Homework #2: On Msterphysics tody: due Fridy Go to msteringphysics.com Ls:

More information

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3 2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is

More information

Phys102 General Physics II

Phys102 General Physics II Phys1 Generl Physics II pcitnce pcitnce pcitnce definition nd exmples. Dischrge cpcitor irculr prllel plte cpcitior ylindricl cpcitor oncentric sphericl cpcitor Dielectric Sls 1 pcitnce Definition of cpcitnce

More information

west (mrw3223) HW 24 lyle (16001) 1

west (mrw3223) HW 24 lyle (16001) 1 west (mrw3223) HW 24 lyle (16001) 1 This print-out should hve 30 questions. Multiple-choice questions my continue on the next column or pge find ll choices before nswering. Reding ssignment: Hecht, sections

More information

Lecture 5 Capacitance Ch. 25

Lecture 5 Capacitance Ch. 25 Lecture 5 pcitnce h. 5 rtoon - pcitnce definition nd exmples. Opening Demo - Dischrge cpcitor Wrm-up prolem Physlet Topics pcitnce Prllel Plte pcitor Dielectrics nd induced dipoles oxil cle, oncentric

More information

Physics 121 Sample Common Exam 1 NOTE: ANSWERS ARE ON PAGE 8. Instructions:

Physics 121 Sample Common Exam 1 NOTE: ANSWERS ARE ON PAGE 8. Instructions: Physics 121 Smple Common Exm 1 NOTE: ANSWERS ARE ON PAGE 8 Nme (Print): 4 Digit ID: Section: Instructions: Answer ll questions. uestions 1 through 16 re multiple choice questions worth 5 points ech. You

More information

Hints for Exercise 1 on: Current and Resistance

Hints for Exercise 1 on: Current and Resistance Hints for Exercise 1 on: Current nd Resistnce Review the concepts of: electric current, conventionl current flow direction, current density, crrier drift velocity, crrier numer density, Ohm s lw, electric

More information

Physics Lecture 14: MON 29 SEP

Physics Lecture 14: MON 29 SEP Physics 2113 Physics 2113 Lecture 14: MON 29 SEP CH25: Cpcitnce Von Kleist ws le to store electricity in the jr. Unknowingly, he h ctully invente novel evice to store potentil ifference. The wter in the

More information

Summary of equations chapters 7. To make current flow you have to push on the charges. For most materials:

Summary of equations chapters 7. To make current flow you have to push on the charges. For most materials: Summry of equtions chpters 7. To mke current flow you hve to push on the chrges. For most mterils: J E E [] The resistivity is prmeter tht vries more thn 4 orders of mgnitude between silver (.6E-8 Ohm.m)

More information

Potential Changes Around a Circuit. You must be able to calculate potential changes around a closed loop.

Potential Changes Around a Circuit. You must be able to calculate potential changes around a closed loop. Tody s gend: Potentil Chnges Around Circuit. You must e le to clculte potentil chnges round closed loop. Electromotive force (EMF), Terminl Voltge, nd Internl Resistnce. You must e le to incorporte ll

More information

Sample Exam 5 - Skip Problems 1-3

Sample Exam 5 - Skip Problems 1-3 Smple Exm 5 - Skip Problems 1-3 Physics 121 Common Exm 2: Fll 2010 Nme (Print): 4 igit I: Section: Honors Code Pledge: As n NJIT student I, pledge to comply with the provisions of the NJIT Acdemic Honor

More information

Unique Solutions R. All about Electromagnetism. C h a p t e r. G l a n c e

Unique Solutions R. All about Electromagnetism. C h a p t e r. G l a n c e 5. C h p t e r t G l n c e When electric current is pssed through conductor, it produces mgnetic field round it. The first discovery of the connection between electricity nd mgnetism ws mde by H. C. Oersted.

More information

Physics 24 Exam 1 February 18, 2014

Physics 24 Exam 1 February 18, 2014 Exm Totl / 200 Physics 24 Exm 1 Februry 18, 2014 Printed Nme: Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the best or most nerly correct nswer. 1. The totl electric flux pssing

More information

CS12N: The Coming Revolution in Computer Architecture Laboratory 2 Preparation

CS12N: The Coming Revolution in Computer Architecture Laboratory 2 Preparation CS2N: The Coming Revolution in Computer Architecture Lortory 2 Preprtion Ojectives:. Understnd the principle of sttic CMOS gte circuits 2. Build simple logic gtes from MOS trnsistors 3. Evlute these gtes

More information

Designing Information Devices and Systems I Spring 2018 Homework 8

Designing Information Devices and Systems I Spring 2018 Homework 8 EECS 16A Designing Informtion Devices nd Systems I Spring 2018 Homework 8 This homework is due Mrch 19, 2018, t 23:59. Self-grdes re due Mrch 22, 2018, t 23:59. Sumission Formt Your homework sumission

More information

#6A&B Magnetic Field Mapping

#6A&B Magnetic Field Mapping #6A& Mgnetic Field Mpping Gol y performing this lb experiment, you will: 1. use mgnetic field mesurement technique bsed on Frdy s Lw (see the previous experiment),. study the mgnetic fields generted by

More information

Unit 3: Direct current and electric resistance Electric current and movement of charges. Intensity of current and drift speed. Density of current in

Unit 3: Direct current and electric resistance Electric current and movement of charges. Intensity of current and drift speed. Density of current in Unit 3: Direct current nd electric resistnce Electric current nd movement of chrges. ntensity of current nd drift speed. Density of current in homogeneous currents. Ohm s lw. esistnce of homogeneous conductor

More information

Designing Information Devices and Systems I Spring 2018 Homework 7

Designing Information Devices and Systems I Spring 2018 Homework 7 EECS 16A Designing Informtion Devices nd Systems I Spring 2018 omework 7 This homework is due Mrch 12, 2018, t 23:59. Self-grdes re due Mrch 15, 2018, t 23:59. Sumission Formt Your homework sumission should

More information

10/25/2005 Section 5_2 Conductors empty.doc 1/ Conductors. We have been studying the electrostatics of freespace (i.e., a vacuum).

10/25/2005 Section 5_2 Conductors empty.doc 1/ Conductors. We have been studying the electrostatics of freespace (i.e., a vacuum). 10/25/2005 Section 5_2 Conductors empty.doc 1/3 5-2 Conductors Reding Assignment: pp. 122-132 We hve been studying the electrosttics of freespce (i.e., vcuum). But, the universe is full of stuff! Q: Does

More information

Chapter 4: Techniques of Circuit Analysis. Chapter 4: Techniques of Circuit Analysis

Chapter 4: Techniques of Circuit Analysis. Chapter 4: Techniques of Circuit Analysis Chpter 4: Techniques of Circuit Anlysis Terminology Node-Voltge Method Introduction Dependent Sources Specil Cses Mesh-Current Method Introduction Dependent Sources Specil Cses Comprison of Methods Source

More information

Exam 1 Solutions (1) C, D, A, B (2) C, A, D, B (3) C, B, D, A (4) A, C, D, B (5) D, C, A, B

Exam 1 Solutions (1) C, D, A, B (2) C, A, D, B (3) C, B, D, A (4) A, C, D, B (5) D, C, A, B PHY 249, Fll 216 Exm 1 Solutions nswer 1 is correct for ll problems. 1. Two uniformly chrged spheres, nd B, re plced t lrge distnce from ech other, with their centers on the x xis. The chrge on sphere

More information

SUMMER KNOWHOW STUDY AND LEARNING CENTRE

SUMMER KNOWHOW STUDY AND LEARNING CENTRE SUMMER KNOWHOW STUDY AND LEARNING CENTRE Indices & Logrithms 2 Contents Indices.2 Frctionl Indices.4 Logrithms 6 Exponentil equtions. Simplifying Surds 13 Opertions on Surds..16 Scientific Nottion..18

More information

Lecture 13 - Linking E, ϕ, and ρ

Lecture 13 - Linking E, ϕ, and ρ Lecture 13 - Linking E, ϕ, nd ρ A Puzzle... Inner-Surfce Chrge Density A positive point chrge q is locted off-center inside neutrl conducting sphericl shell. We know from Guss s lw tht the totl chrge on

More information

Designing Information Devices and Systems I Discussion 8B

Designing Information Devices and Systems I Discussion 8B Lst Updted: 2018-10-17 19:40 1 EECS 16A Fll 2018 Designing Informtion Devices nd Systems I Discussion 8B 1. Why Bother With Thévenin Anywy? () Find Thévenin eqiuvlent for the circuit shown elow. 2kΩ 5V

More information

Operations with Polynomials

Operations with Polynomials 38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: How to identify the leding coefficients nd degrees of polynomils How to dd nd subtrct polynomils How to multiply polynomils

More information

Problem Solving 7: Faraday s Law Solution

Problem Solving 7: Faraday s Law Solution MASSACHUSETTS NSTTUTE OF TECHNOLOGY Deprtment of Physics: 8.02 Prolem Solving 7: Frdy s Lw Solution Ojectives 1. To explore prticulr sitution tht cn led to chnging mgnetic flux through the open surfce

More information

This chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2

This chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2 1 Direct vrition 2 Inverse vrition This chpter will show you how to solve prolems where two vriles re connected y reltionship tht vries in direct or inverse proportion Direct proportion Inverse proportion

More information

Today in Physics 122: work, energy and potential in electrostatics

Today in Physics 122: work, energy and potential in electrostatics Tody in Physics 1: work, energy nd potentil in electrosttics Leftovers Perfect conductors Fields from chrges distriuted on perfect conductors Guss s lw for grvity Work nd energy Electrosttic potentil energy,

More information

Interpreting Integrals and the Fundamental Theorem

Interpreting Integrals and the Fundamental Theorem Interpreting Integrls nd the Fundmentl Theorem Tody, we go further in interpreting the mening of the definite integrl. Using Units to Aid Interprettion We lredy know tht if f(t) is the rte of chnge of

More information

Physics 2135 Exam 3 April 21, 2015

Physics 2135 Exam 3 April 21, 2015 Em Totl hysics 2135 Em 3 April 21, 2015 Key rinted Nme: 200 / 200 N/A Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the best or most nerly correct nswer. 1. C Two long stright

More information

Instructor(s): Acosta/Woodard PHYSICS DEPARTMENT PHY 2049, Fall 2015 Midterm 1 September 29, 2015

Instructor(s): Acosta/Woodard PHYSICS DEPARTMENT PHY 2049, Fall 2015 Midterm 1 September 29, 2015 Instructor(s): Acost/Woodrd PHYSICS DEPATMENT PHY 049, Fll 015 Midterm 1 September 9, 015 Nme (print): Signture: On m honor, I hve neither given nor received unuthorized id on this emintion. YOU TEST NUMBE

More information

Exam 2 Solutions ECE 221 Electric Circuits

Exam 2 Solutions ECE 221 Electric Circuits Nme: PSU Student ID Numer: Exm 2 Solutions ECE 221 Electric Circuits Novemer 12, 2008 Dr. Jmes McNmes Keep your exm flt during the entire exm If you hve to leve the exm temporrily, close the exm nd leve

More information

EMF Notes 9; Electromagnetic Induction ELECTROMAGNETIC INDUCTION

EMF Notes 9; Electromagnetic Induction ELECTROMAGNETIC INDUCTION EMF Notes 9; Electromgnetic nduction EECTOMAGNETC NDUCTON (Y&F Chpters 3, 3; Ohnin Chpter 3) These notes cover: Motionl emf nd the electric genertor Electromgnetic nduction nd Frdy s w enz s w nduced electric

More information

Lecture 3: Equivalence Relations

Lecture 3: Equivalence Relations Mthcmp Crsh Course Instructor: Pdric Brtlett Lecture 3: Equivlence Reltions Week 1 Mthcmp 2014 In our lst three tlks of this clss, we shift the focus of our tlks from proof techniques to proof concepts

More information

Analytically, vectors will be represented by lowercase bold-face Latin letters, e.g. a, r, q.

Analytically, vectors will be represented by lowercase bold-face Latin letters, e.g. a, r, q. 1.1 Vector Alger 1.1.1 Sclrs A physicl quntity which is completely descried y single rel numer is clled sclr. Physiclly, it is something which hs mgnitude, nd is completely descried y this mgnitude. Exmples

More information

Section 4: Integration ECO4112F 2011

Section 4: Integration ECO4112F 2011 Reding: Ching Chpter Section : Integrtion ECOF Note: These notes do not fully cover the mteril in Ching, ut re ment to supplement your reding in Ching. Thus fr the optimistion you hve covered hs een sttic

More information

University of Alabama Department of Physics and Astronomy. PH126: Exam 1

University of Alabama Department of Physics and Astronomy. PH126: Exam 1 University of Albm Deprtment of Physics nd Astronomy PH 16 LeClir Fll 011 Instructions: PH16: Exm 1 1. Answer four of the five questions below. All problems hve equl weight.. You must show your work for

More information

Picture Match Words. Protons Debris

Picture Match Words. Protons Debris Picture Mtch Words Orbit Nucleus Protons Debris Trnsport Element Fusion Cosmic Infltion Electrons Density Mterils copyrighted by the University of Louisville. Eductors re free to use these mterils with

More information

332:221 Principles of Electrical Engineering I Fall Hourly Exam 2 November 6, 2006

332:221 Principles of Electrical Engineering I Fall Hourly Exam 2 November 6, 2006 2:221 Principles of Electricl Engineering I Fll 2006 Nme of the student nd ID numer: Hourly Exm 2 Novemer 6, 2006 This is closed-ook closed-notes exm. Do ll your work on these sheets. If more spce is required,

More information

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations ME 3600 Control ystems Chrcteristics of Open-Loop nd Closed-Loop ystems Importnt Control ystem Chrcteristics o ensitivity of system response to prmetric vritions cn be reduced o rnsient nd stedy-stte responses

More information

Sample pages. 9:04 Equations with grouping symbols

Sample pages. 9:04 Equations with grouping symbols Equtions 9 Contents I know the nswer is here somewhere! 9:01 Inverse opertions 9:0 Solving equtions Fun spot 9:0 Why did the tooth get dressed up? 9:0 Equtions with pronumerls on both sides GeoGebr ctivity

More information

Physics 202, Lecture 14

Physics 202, Lecture 14 Physics 202, Lecture 14 Tody s Topics Sources of the Mgnetic Field (Ch. 28) Biot-Svrt Lw Ampere s Lw Mgnetism in Mtter Mxwell s Equtions Homework #7: due Tues 3/11 t 11 PM (4th problem optionl) Mgnetic

More information

7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus

7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus 7.1 Integrl s Net Chnge nd 7. Ares in the Plne Clculus 7.1 INTEGRAL AS NET CHANGE Notecrds from 7.1: Displcement vs Totl Distnce, Integrl s Net Chnge We hve lredy seen how the position of n oject cn e

More information

Physics Jonathan Dowling. Lecture 9 FIRST MIDTERM REVIEW

Physics Jonathan Dowling. Lecture 9 FIRST MIDTERM REVIEW Physics 10 Jonthn Dowling Physics 10 ecture 9 FIRST MIDTERM REVIEW A few concepts: electric force, field nd potentil Electric force: Wht is the force on chrge produced by other chrges? Wht is the force

More information

Linear Inequalities. Work Sheet 1

Linear Inequalities. Work Sheet 1 Work Sheet 1 Liner Inequlities Rent--Hep, cr rentl compny,chrges $ 15 per week plus $ 0.0 per mile to rent one of their crs. Suppose you re limited y how much money you cn spend for the week : You cn spend

More information

Name Ima Sample ASU ID

Name Ima Sample ASU ID Nme Im Smple ASU ID 2468024680 CSE 355 Test 1, Fll 2016 30 Septemer 2016, 8:35-9:25.m., LSA 191 Regrding of Midterms If you elieve tht your grde hs not een dded up correctly, return the entire pper to

More information

2.4 Linear Inequalities and Interval Notation

2.4 Linear Inequalities and Interval Notation .4 Liner Inequlities nd Intervl Nottion We wnt to solve equtions tht hve n inequlity symol insted of n equl sign. There re four inequlity symols tht we will look t: Less thn , Less thn or

More information

State space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies

State space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies Stte spce systems nlysis (continued) Stbility A. Definitions A system is sid to be Asymptoticlly Stble (AS) when it stisfies ut () = 0, t > 0 lim xt () 0. t A system is AS if nd only if the impulse response

More information

Algebra Readiness PLACEMENT 1 Fraction Basics 2 Percent Basics 3. Algebra Basics 9. CRS Algebra 1

Algebra Readiness PLACEMENT 1 Fraction Basics 2 Percent Basics 3. Algebra Basics 9. CRS Algebra 1 Algebr Rediness PLACEMENT Frction Bsics Percent Bsics Algebr Bsics CRS Algebr CRS - Algebr Comprehensive Pre-Post Assessment CRS - Algebr Comprehensive Midterm Assessment Algebr Bsics CRS - Algebr Quik-Piks

More information

PHYSICS ASSIGNMENT-9

PHYSICS ASSIGNMENT-9 MPS/PHY-XII-11/A9 PHYSICS ASSIGNMENT-9 *********************************************************************************************************** 1. A wire kept long the north-south direction is llowed

More information

Measuring Electron Work Function in Metal

Measuring Electron Work Function in Metal n experiment of the Electron topic Mesuring Electron Work Function in Metl Instructor: 梁生 Office: 7-318 Emil: shling@bjtu.edu.cn Purposes 1. To understnd the concept of electron work function in metl nd

More information

Designing finite automata II

Designing finite automata II Designing finite utomt II Prolem: Design DFA A such tht L(A) consists of ll strings of nd which re of length 3n, for n = 0, 1, 2, (1) Determine wht to rememer out the input string Assign stte to ech of

More information

Week 10: Line Integrals

Week 10: Line Integrals Week 10: Line Integrls Introduction In this finl week we return to prmetrised curves nd consider integrtion long such curves. We lredy sw this in Week 2 when we integrted long curve to find its length.

More information

3 x x x 1 3 x a a a 2 7 a Ba 1 NOW TRY EXERCISES 89 AND a 2/ Evaluate each expression.

3 x x x 1 3 x a a a 2 7 a Ba 1 NOW TRY EXERCISES 89 AND a 2/ Evaluate each expression. SECTION. Eponents nd Rdicls 7 B 7 7 7 7 7 7 7 NOW TRY EXERCISES 89 AND 9 7. EXERCISES CONCEPTS. () Using eponentil nottion, we cn write the product s. In the epression 3 4,the numer 3 is clled the, nd

More information

7.2 The Definite Integral

7.2 The Definite Integral 7.2 The Definite Integrl the definite integrl In the previous section, it ws found tht if function f is continuous nd nonnegtive, then the re under the grph of f on [, b] is given by F (b) F (), where

More information

Special Relativity solved examples using an Electrical Analog Circuit

Special Relativity solved examples using an Electrical Analog Circuit 1-1-15 Specil Reltivity solved exmples using n Electricl Anlog Circuit Mourici Shchter mourici@gmil.com mourici@wll.co.il ISRAE, HOON 54-54855 Introduction In this pper, I develop simple nlog electricl

More information

Things to Memorize: A Partial List. January 27, 2017

Things to Memorize: A Partial List. January 27, 2017 Things to Memorize: A Prtil List Jnury 27, 2017 Chpter 2 Vectors - Bsic Fcts A vector hs mgnitude (lso clled size/length/norm) nd direction. It does not hve fixed position, so the sme vector cn e moved

More information

Section 6: Area, Volume, and Average Value

Section 6: Area, Volume, and Average Value Chpter The Integrl Applied Clculus Section 6: Are, Volume, nd Averge Vlue Are We hve lredy used integrls to find the re etween the grph of function nd the horizontl xis. Integrls cn lso e used to find

More information

Chapter 6 Electrostatic Boundary Value Problems. Dr. Talal Skaik

Chapter 6 Electrostatic Boundary Value Problems. Dr. Talal Skaik Chpter 6 Electrosttic Boundry lue Problems Dr. Tll Skik 1 1 Introduction In previous chpters, E ws determined by coulombs lw or Guss lw when chrge distribution is known, or potentil is known throughout

More information

IMPORTANT. Read these directions carefully:

IMPORTANT. Read these directions carefully: Physics 208: Electricity nd Mgnetism Finl Exm, Secs. 506 510. 7 My. 2004 Instructor: Dr. George R. Welch, 415 Engineering-Physics, 845-7737 Print your nme netly: Lst nme: First nme: Sign your nme: Plese

More information

1.2 What is a vector? (Section 2.2) Two properties (attributes) of a vector are and.

1.2 What is a vector? (Section 2.2) Two properties (attributes) of a vector are and. Homework 1. Chpters 2. Bsis independent vectors nd their properties Show work except for fill-in-lnks-prolems (print.pdf from www.motiongenesis.com Textooks Resources). 1.1 Solving prolems wht engineers

More information

Electric Potential. Concepts and Principles. An Alternative Approach. A Gravitational Analogy

Electric Potential. Concepts and Principles. An Alternative Approach. A Gravitational Analogy . Electric Potentil Concepts nd Principles An Alterntive Approch The electric field surrounding electric chrges nd the mgnetic field surrounding moving electric chrges cn both be conceptulized s informtion

More information

Version 001 HW#6 - Electromagnetic Induction arts (00224) 1 3 T

Version 001 HW#6 - Electromagnetic Induction arts (00224) 1 3 T Version 001 HW#6 - lectromgnetic Induction rts (00224) 1 This print-out should hve 12 questions. Multiple-choice questions my continue on the next column or pge find ll choices efore nswering. AP 1998

More information

Problems for HW X. C. Gwinn. November 30, 2009

Problems for HW X. C. Gwinn. November 30, 2009 Problems for HW X C. Gwinn November 30, 2009 These problems will not be grded. 1 HWX Problem 1 Suppose thn n object is composed of liner dielectric mteril, with constnt reltive permittivity ɛ r. The object

More information

Math 8 Winter 2015 Applications of Integration

Math 8 Winter 2015 Applications of Integration Mth 8 Winter 205 Applictions of Integrtion Here re few importnt pplictions of integrtion. The pplictions you my see on n exm in this course include only the Net Chnge Theorem (which is relly just the Fundmentl

More information

AQA Chemistry Paper 2

AQA Chemistry Paper 2 AQA hemistry Pper 2 1.1 A student is plnning n investigtion into how the concentrtion of hydrochloric cid ffects the rte of the rection with mrle chips. Wht is the independent vrile? Tick one ox. (1 mrk)

More information

5.1 How do we Measure Distance Traveled given Velocity? Student Notes

5.1 How do we Measure Distance Traveled given Velocity? Student Notes . How do we Mesure Distnce Trveled given Velocity? Student Notes EX ) The tle contins velocities of moving cr in ft/sec for time t in seconds: time (sec) 3 velocity (ft/sec) 3 A) Lel the x-xis & y-xis

More information

Physics Graduate Prelim exam

Physics Graduate Prelim exam Physics Grdute Prelim exm Fll 2008 Instructions: This exm hs 3 sections: Mechnics, EM nd Quntum. There re 3 problems in ech section You re required to solve 2 from ech section. Show ll work. This exm is

More information

In Chapter 5 we mentioned the four kinds of fundamental forces. To this point

In Chapter 5 we mentioned the four kinds of fundamental forces. To this point ELECTRIC CHARGE AND ELECTRIC FIELD 21? Wter mkes life possile: The cells of your ody could not function without wter in which to dissolve essentil iologicl molecules. Wht electricl properties of wter mke

More information

The practical version

The practical version Roerto s Notes on Integrl Clculus Chpter 4: Definite integrls nd the FTC Section 7 The Fundmentl Theorem of Clculus: The prcticl version Wht you need to know lredy: The theoreticl version of the FTC. Wht

More information

What s in Chapter 13?

What s in Chapter 13? Are nd volume 13 Wht s in Chpter 13? 13 01 re 13 0 Are of circle 13 03 res of trpeziums, kites nd rhomuses 13 04 surfce re of rectngulr prism 13 05 surfce re of tringulr prism 13 06 surfce re of cylinder

More information

Fast Boolean Algebra

Fast Boolean Algebra Fst Boolen Alger ELEC 267 notes with the overurden removed A fst wy to lern enough to get the prel done honorly Printed; 3//5 Slide Modified; Jnury 3, 25 John Knight Digitl Circuits p. Fst Boolen Alger

More information

Version 001 HW#6 - Electromagnetism arts (00224) 1

Version 001 HW#6 - Electromagnetism arts (00224) 1 Version 001 HW#6 - Electromgnetism rts (00224) 1 This print-out should hve 11 questions. Multiple-choice questions my continue on the next column or pge find ll choices efore nswering. rightest Light ul

More information

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives Block #6: Properties of Integrls, Indefinite Integrls Gols: Definition of the Definite Integrl Integrl Clcultions using Antiderivtives Properties of Integrls The Indefinite Integrl 1 Riemnn Sums - 1 Riemnn

More information

Consolidation Worksheet

Consolidation Worksheet Cmbridge Essentils Mthemtics Core 8 NConsolidtion Worksheet N Consolidtion Worksheet Work these out. 8 b 7 + 0 c 6 + 7 5 Use the number line to help. 2 Remember + 2 2 +2 2 2 + 2 Adding negtive number is

More information

Conservation Law. Chapter Goal. 5.2 Theory

Conservation Law. Chapter Goal. 5.2 Theory Chpter 5 Conservtion Lw 5.1 Gol Our long term gol is to understnd how mny mthemticl models re derived. We study how certin quntity chnges with time in given region (sptil domin). We first derive the very

More information

PHY 140A: Solid State Physics. Solution to Midterm #1

PHY 140A: Solid State Physics. Solution to Midterm #1 PHY 140A: Solid Stte Physics Solution to Midterm #1 TA: Xun Ji 1 October 24, 2006 1 Emil: jixun@physics.ucl.edu Problem #1 (20pt)Clculte the pcking frction of the body-centered cubic lttice. Solution:

More information

PH 102 Exam I Solutions

PH 102 Exam I Solutions PH 102 Exm I Solutions 1. Three ienticl chrges of = 5.0 µc lie long circle of rius 2.0 m t ngles of 30, 150, n 270 s shown below. Wht is the resultnt electric fiel t the center of the circle? By symmetry,

More information

Intermediate Math Circles Wednesday, November 14, 2018 Finite Automata II. Nickolas Rollick a b b. a b 4

Intermediate Math Circles Wednesday, November 14, 2018 Finite Automata II. Nickolas Rollick a b b. a b 4 Intermedite Mth Circles Wednesdy, Novemer 14, 2018 Finite Automt II Nickols Rollick nrollick@uwterloo.c Regulr Lnguges Lst time, we were introduced to the ide of DFA (deterministic finite utomton), one

More information

Calculus Module C21. Areas by Integration. Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved.

Calculus Module C21. Areas by Integration. Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved. Clculus Module C Ares Integrtion Copright This puliction The Northern Alert Institute of Technolog 7. All Rights Reserved. LAST REVISED Mrch, 9 Introduction to Ares Integrtion Sttement of Prerequisite

More information

Method of Localisation and Controlled Ejection of Swarms of Likely Charged Particles

Method of Localisation and Controlled Ejection of Swarms of Likely Charged Particles Method of Loclistion nd Controlled Ejection of Swrms of Likely Chrged Prticles I. N. Tukev July 3, 17 Astrct This work considers Coulom forces cting on chrged point prticle locted etween the two coxil,

More information

Resistors. Consider a uniform cylinder of material with mediocre to poor to pathetic conductivity ( )

Resistors. Consider a uniform cylinder of material with mediocre to poor to pathetic conductivity ( ) 10/25/2005 Resistors.doc 1/7 Resistors Consider uniform cylinder of mteril with mediocre to poor to r. pthetic conductivity ( ) ˆ This cylinder is centered on the -xis, nd hs length. The surfce re of the

More information

3 Regular expressions

3 Regular expressions 3 Regulr expressions Given n lphet Σ lnguge is set of words L Σ. So fr we were le to descrie lnguges either y using set theory (i.e. enumertion or comprehension) or y n utomton. In this section we shll

More information

Designing Information Devices and Systems I Anant Sahai, Ali Niknejad. This homework is due October 19, 2015, at Noon.

Designing Information Devices and Systems I Anant Sahai, Ali Niknejad. This homework is due October 19, 2015, at Noon. EECS 16A Designing Informtion Devices nd Systems I Fll 2015 Annt Shi, Ali Niknejd Homework 7 This homework is due Octoer 19, 2015, t Noon. 1. Circuits with cpcitors nd resistors () Find the voltges cross

More information

8.6 The Hyperbola. and F 2. is a constant. P F 2. P =k The two fixed points, F 1. , are called the foci of the hyperbola. The line segments F 1

8.6 The Hyperbola. and F 2. is a constant. P F 2. P =k The two fixed points, F 1. , are called the foci of the hyperbola. The line segments F 1 8. The Hperol Some ships nvigte using rdio nvigtion sstem clled LORAN, which is n cronm for LOng RAnge Nvigtion. A ship receives rdio signls from pirs of trnsmitting sttions tht send signls t the sme time.

More information

2. VECTORS AND MATRICES IN 3 DIMENSIONS

2. VECTORS AND MATRICES IN 3 DIMENSIONS 2 VECTORS AND MATRICES IN 3 DIMENSIONS 21 Extending the Theory of 2-dimensionl Vectors x A point in 3-dimensionl spce cn e represented y column vector of the form y z z-xis y-xis z x y x-xis Most of the

More information

CHAPTER 20: Second Law of Thermodynamics

CHAPTER 20: Second Law of Thermodynamics CHAER 0: Second Lw of hermodynmics Responses to Questions 3. kg of liquid iron will hve greter entropy, since it is less ordered thn solid iron nd its molecules hve more therml motion. In ddition, het

More information

Note 12. Introduction to Digital Control Systems

Note 12. Introduction to Digital Control Systems Note Introduction to Digitl Control Systems Deprtment of Mechnicl Engineering, University Of Ssktchewn, 57 Cmpus Drive, Ssktoon, SK S7N 5A9, Cnd . Introduction A digitl control system is one in which the

More information

Warm-up for Honors Calculus

Warm-up for Honors Calculus Summer Work Assignment Wrm-up for Honors Clculus Who should complete this pcket? Students who hve completed Functions or Honors Functions nd will be tking Honors Clculus in the fll of 018. Due Dte: The

More information

Experiment 2: Equipotentials and Electric Fields

Experiment 2: Equipotentials and Electric Fields Chpter 4 Experiment 2: Equipotentils nd Electric Fields 4.1 Introduction One wy to look t the force between chrges is to sy tht the chrge lters the spce round it by generting n electric field E. Any other

More information

Homework Assignment 3 Solution Set

Homework Assignment 3 Solution Set Homework Assignment 3 Solution Set PHYCS 44 6 Ferury, 4 Prolem 1 (Griffiths.5(c The potentil due to ny continuous chrge distriution is the sum of the contriutions from ech infinitesiml chrge in the distriution.

More information

Homework 3 Solutions

Homework 3 Solutions CS 341: Foundtions of Computer Science II Prof. Mrvin Nkym Homework 3 Solutions 1. Give NFAs with the specified numer of sttes recognizing ech of the following lnguges. In ll cses, the lphet is Σ = {,1}.

More information