Physics 202, Exam 1 Review
|
|
- Piers Barrett
- 5 years ago
- Views:
Transcription
1 Physics 202, Exam 1 Review Logistics Topics: Electrostatics + Capacitors (Chapters 21-24) Point charges: electric force, field, potential energy, and potential Distributions: electric field, electric potential. Interaction of point charges with continuous distributions. Conductors: charge distribution, electric field, electric potential Capacitors: compute capacitance, energy stored in capacitor
2 Exam 1 Logistics Exam time: Wednesday, February 17, 5:30-7PM Rooms: 2103 Chamberlain and 2241 Chamberlain 2103: 304, 321, 310, 322, 305, 330, 324, 326, 307, 325, : 302, 303, 327, 308, 329, 309, 323 Bring: Pen/pencil Calculator (no programming functionality) 1 single-sided formula sheet, self-prepared (no photocopying)
3 Exam 1: Electrostatics Topics, Mechanics Topics: Coulomb Forces, Potential Energy Electric Field and Potential of Point Charges and Distributions Motion of charged particles in electric fields Electric field lines and equipotentials Conductors in electrostatic equilibrium Capacitance, Capacitors in circuits and dielectrics Mechanics -- not the main focus, but you should know: Kinematics of uniformly accelerated particles Newton s Laws: statics and dynamics Anything on homework is fair game for this midterm or the final exam (e.g. circular orbits, springs) Math -- you will not be expected to do nontrivial integrals. You should be able to do integrals which require simple substitutions.
4 Topics: Point Charges (I) 2 charges: force on q 2 by q 1 F 12 F 12 = k q 1q 2 r 2 r 12 = F 21 F 21 >2 charges: force on charge i F = F + F + F +... i 1i 2i 3i ˆr 12 F 21 F 12 principle of linear superposition
5 Electric Field: Electric Potential: Topics: Point Charges (II) Field concept: electric field and electric potential V = F = q E E = i E i q V i = k i i i r i = k i q i r i 2 ˆr i V B V A = Relation between force and field: ΔU = qδv B A r = vector from source to observation point E d l E = V
6 Gauss s Law Karl Friedrich Gauss Net electric flux through any closed surface ( Gaussian surface ) equals the total charge enclosed inside the closed surface divided by the permittivity of free space. electric flux q encl : all charges enclosed regardless of positions Gaussian Surface Φ E = Eid A = q encl ε 0 ε 0 : permittivity constant k = 1 4πε 0
7 Using Gauss Law Choose a closed (Gaussian) surface such that the surface integral is trivial. Use symmetry arguments: 1. Direction. Choose a Gaussian surface such that E is clearly either parallel or perpendicular to each piece of surface 2. Magnitude. Choose a surface such that E is known to have the same value at all points on the surface Then: EidA = E da = E da = EA = q encl ε 0 Given q encl, can solve for E (at surface), and vice versa
8 Continuous Charge Distributions (I) Method 1: high degree of symmetry Use Gauss s Law to obtain E. Integrate to get V. E d A = q encl ε 0 V(r) = r ref E d r Examples: spherical symmetry, cylindrical symmetry, planar symmetry Conductors (surface charge density only) and insulators
9 Basic Symmetries Φ E = Eid A = q encl ε 0 Use it to obtain E field for highly symmetric charge distributions. spherical cylindrical planar (point charge, uniform sphere, spherical shell, ) (infinite uniform line of charge or cylinder ) (infinite uniform sheet of charge, ) Method: evaluate flux over carefully chosen Gaussian surface
10 Continuous Charge Distributions (II) 1. Direct calculation of E field: integrate to get V. d E = k dq r 2 ˆr E = d E 2. Direct calculation of V: take derivatives to get E. dv = k dq r V = Examples: uniformly charged ring, disk (on-axis), finite line charge. dv
11 Conductors and Capacitors (I) Main feature of conductors: Electrostatic equilibrium: E = 0 inside conductor E = σ ε 0 outside, perp to surface (only surface charges) equipotentials Application: Capacitors
12 Capacitors Definition: Q = CV Computing capacitance: Parallel plate (also know: spherical, coaxial) Capacitors in circuits: C = ε 0 A Charging/discharging Series and Parallel combinations d U = 1 2C Q2 = 1 2 CV 2 1 C S = i 1 C i C P = i C i
13 Capacitors: Summary Definition: C Q ΔV Capacitance depends on geometry: A d r +Q a b -Q L -Q +Q a b Parallel Plates C = ε o A d Cylindrical C = 2πε L o ln b a C has units of Farads or F (1F = 1C/V) ε o has units of F/m Spherical C = 4πε o ab b a
14 Dielectrics Empirical observation: Inserting a non-conducting material (dielectric) between the plates of a capacitor changes the VALUE of the capacitance. Definition: The dielectric constant of a material is the ratio of the capacitance when filled with the dielectric to that without it: κ = C C 0 κ permittivity: ε κε 0 κ values are always > 1 (e.g., glass = 5.6; water = 80) Dielectrics INCREASE the capacitance of a capacitor More energy can be stored on a capacitor at fixed voltage: E = E 0 κ U ʹ = CV 2 2 = κc 0 V 2 2 = κu
15 A capacitor of capacitance C holds a charge Q when the potential difference across the plates is V. If the charge Q on the plates is doubled to 2Q, A. the capacitance becomes (1/2)V. B. the capacitance becomes 2C. C. the potential changes to (1/2)V. D. the potential changes to 2V. E. the potential does not change.
16 A capacitor of capacitance C holds a charge Q when the potential difference across the plates is V. If the charge Q on the plates is doubled to 2Q, A. the capacitance becomes (1/2)V. B. the capacitance becomes 2C. C. the potential changes to (1/2)V. D. the potential changes to 2V. E. the potential does not change.
17 If C 1 < C 2 < C 3 < C 4 for the combination of capacitors shown, the equivalent capacitance is A.less than C 1. B.more than C 4. C.between C 1 and C 4.
18 If C 1 < C 2 < C 3 < C 4 for the combination of capacitors shown, the equivalent capacitance is A.less than C 1. B.more than C 4. C.between C 1 and C 4.
19 If C 1 < C 2 < C 3 < C 4 for the combination of capacitors shown, the equivalent capacitance is A.less than C 1. B.more than C 4. C.between C 1 and C 4.
20 If C 1 < C 2 < C 3 < C 4 for the combination of capacitors shown, the equivalent capacitance is A.less than C 1. B.more than C 4. C.between C 1 and C 4.
21 Two identical capacitors A and B are connected across a battery, as shown. If mica (κ = 5.4) is inserted in B, A. both capacitors will retain the same charge. B. B will have the larger charge. C. A will have the larger charge. D. the potential difference across B will increase. E. the potential difference across A will increase.
22 Two identical capacitors A and B are connected across a battery, as shown. If mica (κ = 5.4) is inserted in B, A. both capacitors will retain the same charge. B. B will have the larger charge. C. A will have the larger charge. D. the potential difference across B will increase. E. the potential difference across A will increase.
23 Example A capacitor is charged with a battery to a charge of Q= C. The area of the plates is 100 cm 2 =0.01 m 2, and the distance between the plates is 1 cm=0.01 m. With dielectric inserted into the capacitor, the electric field is found to be V/m. 1) What is the energy stored in the capacitor with the dielectric present?
24 Example A capacitor is charged with a battery to a charge of Q= C. The area of the plates is 100 cm 2 =0.01 m 2, and the distance between the plates is 1 cm=0.01 m. With dielectric inserted into the capacitor, the electric field is found to be V/m. 1) What is the energy stored in the capacitor with the dielectric present? U = ½QV = ½Q(Ed) = ½( )( )(0.01) U = J
25 Example A capacitor is charged with a battery to a charge of Q= C. The area of the plates is 100 cm 2 =0.01 m 2, and the distance between the plates is 1 cm=0.01 m. With dielectric inserted into the capacitor, the electric field is found to be V/m. The battery is disconnected and then the dielectric is removed, so the capacitor plates are separated by air. What is the energy stored in the capacitor after the dielectric has been removed?
26 Example A capacitor is charged with a battery to a charge of Q= C. The area of the plates is 100 cm 2 =0.01 m 2, and the distance between the plates is 1 cm=0.01 m. With dielectric inserted into the capacitor, the electric field is found to be V/m. The battery is disconnected and then the dielectric is removed, so the capacitor plates are separated by air. What is the energy stored in the capacitor after the dielectric has been removed? Charge is same: Q= C Electric field without dielectric: E 0 = σ ε 0 = Q ε 0 A = ( ) 0.01 ( ) == V / m κ = E E 0 = = 3.42 U 0 = κu = (3.42)( ) = J.
Physics 202, Exam 1 Review
Physics 202, Exam 1 Review Logistics Topics: Electrostatics (Chapters 21-24.6) Point charges: electric force, field, potential energy, and potential Distributions: electric field, electric potential. Interaction
More informationPhysics 202, Lecture 3. The Electric Field
Physics 202, Lecture 3 Today s Topics Electric Field (Review) Motion of charged particles in external E field Conductors in Electrostatic Equilibrium (Ch. 21.9) Gauss s Law (Ch. 22) Reminder: HW #1 due
More informationChapter 25. Capacitance
Chapter 25 Capacitance 1 1. Capacitors A capacitor is a twoterminal device that stores electric energy. 2 2. Capacitance The figure shows the basic elements of any capacitor two isolated conductors of
More informationReview. Spring Semester /21/14. Physics for Scientists & Engineers 2 1
Review Spring Semester 2014 Physics for Scientists & Engineers 2 1 Notes! Homework set 13 extended to Tuesday, 4/22! Remember to fill out SIRS form: https://sirsonline.msu.edu Physics for Scientists &
More informationChapter 22 Gauss s law. Electric charge and flux (sec &.3) Gauss s Law (sec &.5) Charges on conductors (sec. 22.6)
Chapter 22 Gauss s law Electric charge and flux (sec. 22.2 &.3) Gauss s Law (sec. 22.4 &.5) Charges on conductors (sec. 22.6) 1 Learning Goals for CH 22 Determine the amount of charge within a closed surface
More informationPhysics 202, Lecture 8. Exam 1
Physics 202, Lecture 8 Today s Topics More on Exam 1: logistics and mini-review Current And Resistance (Ch. 27) Current: Macroscopic and Microscopic Resistance: Macroscopic and Microscopic Electrical Power
More informationPhysics Electricity & Op-cs Lecture 8 Chapter 24 sec Fall 2017 Semester Professor
Physics 24100 Electricity & Op-cs Lecture 8 Chapter 24 sec. 1-2 Fall 2017 Semester Professor Kol@ck How Much Energy? V 1 V 2 Consider two conductors with electric potentials V 1 and V 2 We can always pick
More informationW05D1 Conductors and Insulators Capacitance & Capacitors Energy Stored in Capacitors
W05D1 Conductors and Insulators Capacitance & Capacitors Energy Stored in Capacitors W05D1 Reading Assignment Course Notes: Sections 3.3, 4.5, 5.1-5.4 1 Outline Conductors and Insulators Conductors as
More informationRoll Number SET NO. 42/1
Roll Number SET NO. 4/1 INDIAN SCHOOL MUSCAT FIRST TERM EXAMINATION PHYSICS CLASS: XII Sub. Code: 04 Time Allotted: Hrs 0.04.018 Max. Marks: 70 General Instructions: 1. All questions are compulsory. There
More informationElectric Potential. Capacitors (Chapters 28, 29)
Electric Potential. Capacitors (Chapters 28, 29) Electric potential energy, U Electric potential energy in a constant field Conservation of energy Electric potential, V Relation to the electric field strength
More informationChapter 25. Capacitance
Chapter 25 Capacitance 25.2: Capacitance: 25.2: Capacitance: When a capacitor is charged, its plates have charges of equal magnitudes but opposite signs: q+ and q-. However, we refer to the charge of a
More informationElectric Field of a uniformly Charged Thin Spherical Shell
Electric Field of a uniformly Charged Thin Spherical Shell The calculation of the field outside the shell is identical to that of a point charge. The electric field inside the shell is zero. What are the
More informationAP Physics C Mechanics Objectives
AP Physics C Mechanics Objectives I. KINEMATICS A. Motion in One Dimension 1. The relationships among position, velocity and acceleration a. Given a graph of position vs. time, identify or sketch a graph
More informationContinuing our discussion on Capacitors
Continuing our discussion on Capacitors Cylindrical Capacitors (I) Two concentric conducting cylinders of length L and radii R and R. We determine the electric field between the cylinders using Gauss s
More informationMansfield Independent School District AP Physics C: Electricity and Magnetism Year at a Glance
Mansfield Independent School District AP Physics C: Electricity and Magnetism Year at a Glance First Six-Weeks Second Six-Weeks Third Six-Weeks Lab safety Lab practices and ethical practices Math and Calculus
More informationAP Physics C. Electricity - Term 3
AP Physics C Electricity - Term 3 Interest Packet Term Introduction: AP Physics has been specifically designed to build on physics knowledge previously acquired for a more in depth understanding of the
More informationDefinition of Capacitance
Definition of Capacitance The capacitance, C, of a capacitor is defined as the ratio of the magnitude of the charge on either conductor to the potential difference between the conductors Q C = ΔV The SI
More informationReading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the E-field.
Reading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the E-field. 1.! Questions about charging and discharging capacitors. When an uncharged capacitor is connected
More informationChapter 24: Capacitance and Dielectrics
hapter 4: apacitance and Dielectrics apacitor: two conductors (separated by an insulator) usually oppositely charged a + b - ab proportional to charge = / ab (defines capacitance) units: F = / pc4: The
More informationCapacitors (Chapter 26)
Capacitance, C Simple capacitive circuits Parallel circuits Series circuits Combinations Electric energy Dielectrics Capacitors (Chapter 26) Capacitors What are they? A capacitor is an electric device
More informationClass 5 : Conductors and Capacitors
Class 5 : Conductors and Capacitors What is a conductor? Field and potential around conductors Defining and evaluating capacitance Potential energy of a capacitor Recap Gauss s Law E. d A = Q enc and ε
More informationChapter 22 Gauss s Law
Chapter 22 Gauss s Law Lecture by Dr. Hebin Li Goals for Chapter 22 To use the electric field at a surface to determine the charge within the surface To learn the meaning of electric flux and how to calculate
More informationPhysics (
Question 2.12: A charge of 8 mc is located at the origin. Calculate the work done in taking a small charge of 2 10 9 C from a point P (0, 0, 3 cm) to a point Q (0, 4 cm, 0), via a point R (0, 6 cm, 9 cm).
More informationAP Physics C. Magnetism - Term 4
AP Physics C Magnetism - Term 4 Interest Packet Term Introduction: AP Physics has been specifically designed to build on physics knowledge previously acquired for a more in depth understanding of the world
More informationPHYSICS - CLUTCH CH 24: CAPACITORS & DIELECTRICS.
!! www.clutchprep.com CONCEPT: CAPACITORS AND CAPACITANCE A CAPACITOR is formed by two surfaces of equal/opposite charge brought close together - Separation of charge potential energy stored Connecting
More informationCapacitor: any two conductors, one with charge +Q, other with charge -Q Potential DIFFERENCE between conductors = V
Physics 2102 Gabriela González Capacitor: any two conductors, one with charge +Q, other with charge -Q Potential DIFFERENCE between conductors = V Units of capacitance: Farad (F) = Coulomb/Volt -Q +Q Uses:
More informationPhysics (
Exercises Question 2: Two charges 5 0 8 C and 3 0 8 C are located 6 cm apart At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero
More informationChapter 18. Circuit Elements, Independent Voltage Sources, and Capacitors
Chapter 18 Circuit Elements, Independent Voltage Sources, and Capacitors Ideal Wire _ + Ideal Battery Ideal Resistor Ideal Capacitor Series Parallel An ideal battery provides a constant potential difference
More informationChapter 21. Electric Fields
Chapter 21 Electric Fields The Origin of Electricity The electrical nature of matter is inherent in the atoms of all substances. An atom consists of a small relatively massive nucleus that contains particles
More informationIntroduction)! Electrostatics is the study of stationary electric charges and fields (as opposed to moving charges and currents)
Higher'Physics'1B Electricity) Electrostatics)) Introduction) Electrostatics is the study of stationary electric charges and fields (as opposed to moving charges and currents) Properties)of)Electric)Charges)
More informationGeneral Physics (PHY 2140)
General Physics (PHY 2140) Lecture 5 Electrostatics Electrical energy potential difference and electric potential potential energy of charged conductors Capacitance and capacitors http://www.physics.wayne.edu/~apetrov/phy2140/
More informationChapter 24 Capacitance and Dielectrics
Chapter 24 Capacitance and Dielectrics Lecture by Dr. Hebin Li Goals for Chapter 24 To understand capacitors and calculate capacitance To analyze networks of capacitors To calculate the energy stored in
More informationLecture 7. Capacitors and Electric Field Energy. Last lecture review: Electrostatic potential
Lecture 7. Capacitors and Electric Field Energy Last lecture review: Electrostatic potential V r = U r q Q Iclicker question The figure shows cross sections through two equipotential surfaces. In both
More informationCOLLEGE PHYSICS Chapter 19 ELECTRIC POTENTIAL AND ELECTRIC FIELD
COLLEGE PHYSICS Chapter 19 ELECTRIC POTENTIAL AND ELECTRIC FIELD Electric Potential Energy and Electric Potential Difference It takes work to move a charge against an electric field. Just as with gravity,
More information(3.5.1) V E x, E, (3.5.2)
Lecture 3.5 Capacitors Today we shall continue our discussion of electrostatics and, in particular, the concept of electrostatic potential energy and electric potential. The main example which we have
More informationChapter 24: Capacitance and Dielectrics
Chapter 24: Capacitance and Dielectrics When you compress/stretch a spring, we are storing potential energy This is the mechanical method to store energy It is also possible to store electric energy as
More informationChapter 19 Electric Potential and Electric Field
Chapter 19 Electric Potential and Electric Field The electrostatic force is a conservative force. Therefore, it is possible to define an electrical potential energy function with this force. Work done
More informationPhysics 202 Midterm Exam 1 Oct 2 nd, 2012
ID CODE: A Physics 202 Midterm Exam 1 Oct 2 nd, 2012 Name:...Yibin Pan... Student ID:... Section:... TA (please circle): James Buchannan Diptaranjan Das Ross Devol Yutao Gong Minho Kwon Greg Lau Andrew
More informationPhysics 2B. Lecture 24B. Gauss 10 Deutsche Mark
Physics 2B Lecture 24B Gauss 10 Deutsche Mark Electric Flux Flux is the amount of something that flows through a given area. Electric flux, Φ E, measures the amount of electric field lines that passes
More informationExam 1 Solutions. Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1
Exam 1 Solutions Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1 A rod of charge per unit length λ is surrounded by a conducting, concentric cylinder
More informationChapter 24: Capacitance and Dielectrics. Capacitor: two conductors (separated by an insulator) usually oppositely charged. (defines capacitance)
hapter 4: apacitance and Dielectrics apacitor: two conductors (separated by an insulator) usually oppositely charged a b - ab proportional to charge / ab (defines capacitance) units: F / pc4: The parallel
More informationPhys 2102 Spring 2002 Exam 1
Phys 2102 Spring 2002 Exam 1 February 19, 2002 1. When a positively charged conductor touches a neutral conductor, the neutral conductor will: (a) Lose protons (b) Gain electrons (c) Stay neutral (d) Lose
More informationCapacitance. Chapter 21 Chapter 25. K = C / C o V = V o / K. 1 / Ceq = 1 / C / C 2. Ceq = C 1 + C 2
= Chapter 21 Chapter 25 Capacitance K = C / C o V = V o / K 1 / Ceq = 1 / C 1 + 1 / C 2 Ceq = C 1 + C 2 Copyright 25-2 Capacitance 25.01 Sketch a schematic diagram of a circuit with a parallel-plate capacitor,
More informationConsider a point P on the line joining the two charges, as shown in the given figure.
Question 2.1: Two charges 5 10 8 C and 3 10 8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
More informationCan current flow in electric shock?
Can current flow in electric shock? Yes. Transient current can flow in insulating medium in the form of time varying displacement current. This was an important discovery made by Maxwell who could predict
More information2014 F 2014 AI. 1. Why must electrostatic field at the surface of a charged conductor be normal to the surface at every point? Give reason.
2014 F 1. Why must electrostatic field at the surface of a charged conductor be normal to the surface at every point? Give reason. 2. Figure shows the field lines on a positive charge. Is the work done
More information= (series) Capacitors in series. C eq. Hence. Capacitors in parallel. Since C 1 C 2 V 1 -Q +Q -Q. Vab V 2. C 1 and C 2 are in series
Capacitors in series V ab V + V Q( + C Vab + Q C C C Hence C C eq eq + C C C (series) ) V ab +Q -Q +Q -Q C and C are in series C V V C +Q -Q C eq C eq is the single capacitance equivalent to C and C in
More informationPractice Questions Exam 1/page1. PES Physics 2 Practice Exam 1 Questions. Name: Score: /.
Practice Questions Exam 1/page1 PES 110 - Physics Practice Exam 1 Questions Name: Score: /. Instructions Time allowed for this is exam is 1 hour 15 minutes 5 multiple choice (5 points) 3 to 5 written problems
More informationChapter 24 Gauss Law
Chapter 24 Gauss Law A charge inside a box can be probed with a test charge q o to measure E field outside the box. The volume (V) flow rate (dv/dt) of fluid through the wire rectangle (a) is va when the
More informationChapter 16. Electric Energy and Capacitance
Chapter 16 Electric Energy and Capacitance Electric Potential Energy The electrostatic force is a conservative force It is possible to define an electrical potential energy function with this force Work
More informationChapter 1 The Electric Force
Chapter 1 The Electric Force 1. Properties of the Electric Charges 1- There are two kinds of the electric charges in the nature, which are positive and negative charges. - The charges of opposite sign
More informationfree space (vacuum) permittivity [ F/m]
Electrostatic Fields Electrostatic fields are static (time-invariant) electric fields produced by static (stationary) charge distributions. The mathematical definition of the electrostatic field is derived
More informationPotential from a distribution of charges = 1
Lecture 7 Potential from a distribution of charges V = 1 4 0 X Smooth distribution i q i r i V = 1 4 0 X i q i r i = 1 4 0 Z r dv Calculating the electric potential from a group of point charges is usually
More informationPhysics 212. Lecture 7. Conductors and Capacitance. Physics 212 Lecture 7, Slide 1
Physics 212 Lecture 7 Conductors and Capacitance Physics 212 Lecture 7, Slide 1 Conductors The Main Points Charges free to move E = 0 in a conductor Surface = Equipotential In fact, the entire conductor
More informationPotentials and Fields
Potentials and Fields Review: Definition of Potential Potential is defined as potential energy per unit charge. Since change in potential energy is work done, this means V E x dx and E x dv dx etc. The
More informationPhysics 202, Lecture 8
Physics 202, Lecture 8 Today s Topics Middle Term 1 Review When and where About Exam 1 Wednesday Feb. 22 nd 5:30-7:00 pm (Rooms will be announced this Friday by email) Format Closed book One 8x11 formula
More informationPHYS 272 (Spring 2018): Introductory Physics: Fields Homeworks
PHYS 272 (Spring 2018): Introductory Physics: Fields Homeworks Note: the 1st homework is simply signing the honor pledge (but still it is compulsory); the actual homework starts with #2. And, please sign
More informationGeneral Physics (PHY 2140)
General Physics (PHY 2140) Lecture 2 Electrostatics Electric flux and Gauss s law Electrical energy potential difference and electric potential potential energy of charged conductors http://www.physics.wayne.edu/~alan/
More informationEXAM REVIEW ON MONDAY
EXAM REVIEW ON MONDAY 6:5 8:5 PM McCarty A Room G86 By JJ Stankowicz Also, formula sheet has been posted. PHY049: Chapter 5 Capacitance calculation review +q q Why do we always consider only +q and q pairs?
More informationElectric Flux. If we know the electric field on a Gaussian surface, we can find the net charge enclosed by the surface.
Chapter 23 Gauss' Law Instead of considering the electric fields of charge elements in a given charge distribution, Gauss' law considers a hypothetical closed surface enclosing the charge distribution.
More informationHomework. Reading: Chap. 29, Chap. 31 and Chap. 32. Suggested exercises: 29.17, 29.19, 29.22, 29.23, 29.24, 29.26, 29.27, 29.29, 29.30, 29.31, 29.
Homework Reading: Chap. 29, Chap. 31 and Chap. 32 Suggested exercises: 29.17, 29.19, 29.22, 29.23, 29.24, 29.26, 29.27, 29.29, 29.30, 29.31, 29.32 Problems: 29.49, 29.51, 29.52, 29.57, 29.58, 29.59, 29.63,
More informationFriday July 11. Reminder Put Microphone On
Friday July 11 8:30 AM 9:0 AM Catch up Lecture 3 Slide 5 Electron projected in electric field problem Chapter 23 Problem 29 Cylindrical shell problem surrounding wire Show Faraday Ice Pail no chrage inside
More informationChapter 24 Capacitance, Dielectrics, Electric Energy Storage
Chapter 24 Capacitance, Dielectrics, Electric Energy Storage Units of Chapter 24 Capacitors (1, 2, & 3) Determination of Capacitance (4 & 5) Capacitors in Series and Parallel (6 & 7) Electric Energy Storage
More informationCapacitance. PHY2049: Chapter 25 1
apacitance PHY049: hapter 5 1 oulomb s law Electric fields Equilibrium Gauss law What You Know: Electric Fields Electric fields for several charge configurations Point Dipole (along axes) Line Plane (nonconducting)
More informationCapacitance, Resistance, DC Circuits
This test covers capacitance, electrical current, resistance, emf, electrical power, Ohm s Law, Kirchhoff s Rules, and RC Circuits, with some problems requiring a knowledge of basic calculus. Part I. Multiple
More information13 - ELECTROSTATICS Page 1 ( Answers at the end of all questions )
3 - ELECTROSTATICS Page ) Two point charges 8 and - are located at x = 0 and x = L respectively. The location of a point on the x axis at which the net electric field due to these two point charges is
More informationLecture 4-1 Physics 219 Question 1 Aug Where (if any) is the net electric field due to the following two charges equal to zero?
Lecture 4-1 Physics 219 Question 1 Aug.31.2016. Where (if any) is the net electric field due to the following two charges equal to zero? y Q Q a x a) at (-a,0) b) at (2a,0) c) at (a/2,0) d) at (0,a) and
More informationPhysics Lecture 13
Physics 113 Jonathan Dowling Physics 113 Lecture 13 EXAM I: REVIEW A few concepts: electric force, field and potential Gravitational Force What is the force on a mass produced by other masses? Kepler s
More informationPHY102 Electricity Course Summary
TOPIC 1 ELECTOSTTICS PHY1 Electricity Course Summary Coulomb s Law The magnitude of the force between two point charges is directly proportional to the product of the charges and inversely proportional
More informationElectromagnetic Field Theory (EMT)
Electromagnetic Field Theory (EMT) Lecture # 9 1) Coulomb s Law and Field Intensity 2) Electric Fields Due to Continuous Charge Distributions Line Charge Surface Charge Volume Charge Coulomb's Law Coulomb's
More informationAgenda for Today. Elements of Physics II. Capacitors Parallel-plate. Charging of capacitors
Capacitors Parallel-plate Physics 132: Lecture e 7 Elements of Physics II Charging of capacitors Agenda for Today Combinations of capacitors Energy stored in a capacitor Dielectrics in capacitors Physics
More informationSharpen thinking about connections among electric field, electric potential difference, potential energy
PHYS 2015 -- Week 6 Sharpen thinking about connections among electric field, electric potential difference, potential energy Apply the ideas to capacitance and the parallel plate capacitor For exclusive
More informationA B C D E. 1 Two charges +Q and -3Q are placed in opposite corners of a square. The work required to move a test charge q from point A to point B is:
Slide 1 / 40 1 Two charges +Q and -3Q are placed in opposite corners of a square. The work required to move a test charge q from point to point is: dependent on the path taken from to directly proportional
More informationPhysics 420 Fall 2004 Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers.
Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers. 1. A charge q 1 = +5.0 nc is located on the y-axis, 15 µm above the origin, while another charge q
More informationChapter 26. Capacitance and Dielectrics
Chapter 26 Capacitance and Dielectrics Capacitors Capacitors are devices that store electric charge Examples of where capacitors are used include: radio receivers filters in power supplies energy-storing
More informationA) 1, 2, 3, 4 B) 4, 3, 2, 1 C) 2, 3, 1, 4 D) 2, 4, 1, 3 E) 3, 2, 4, 1. Page 2
1. Two parallel-plate capacitors with different plate separation but the same capacitance are connected in series to a battery. Both capacitors are filled with air. The quantity that is NOT the same for
More informationChapter 24 Capacitance and Dielectrics
Chapter 24 Capacitance and Dielectrics 1 Capacitors and Capacitance A capacitor is a device that stores electric potential energy and electric charge. The simplest construction of a capacitor is two parallel
More informationChapter 21: Gauss law Tuesday September 13 th. Gauss law and conductors Electrostatic potential energy (more likely on Thu.)
Chapter 21: Gauss law Tuesday September 13 th LABS START THIS WEEK Quick review of Gauss law The flux of a vector field The shell theorem Gauss law for other symmetries A uniformly charged sheet A uniformly
More informationCapacitance and capacitors. Dr. Loai Afana
apacitance and capacitors apacitors apacitors are devices that store energy in an electric field. apacitors are used in many every-day applications Heart defibrillators amera flash units apacitors are
More informationGauss s Law. Chapter 22. Electric Flux Gauss s Law: Definition. Applications of Gauss s Law
Electric Flux Gauss s Law: Definition Chapter 22 Gauss s Law Applications of Gauss s Law Uniform Charged Sphere Infinite Line of Charge Infinite Sheet of Charge Two infinite sheets of charge Phys 2435:
More informationCapacitors And Dielectrics
1 In this small e-book we ll learn about capacitors and dielectrics in short and then we ll have some questions discussed along with their solutions. I ll also give you a practices test series which you
More information(a) Consider a sphere of charge with radius a and charge density ρ(r) that varies with radius as. ρ(r) = Ar n for r a
Physics 7B Midterm 2 - Fall 207 Professor R. Birgeneau Total Points: 00 ( Problems) This exam is out of 00 points. Show all your work and take particular care to explain your steps. Partial credit will
More informationChapter 28. Gauss s Law
Chapter 28. Gauss s Law Using Gauss s law, we can deduce electric fields, particularly those with a high degree of symmetry, simply from the shape of the charge distribution. The nearly spherical shape
More informationLecture 9 Electric Flux and Its Density Gauss Law in Integral Form
Lecture 9 Electric Flux and Its Density Gauss Law in Integral Form ections: 3.1, 3.2, 3.3 Homework: ee homework file Faraday s Experiment (1837), Electric Flux ΨΨ charge transfer from inner to outer sphere
More informationCapacitors. Gauss s law leads to
Capacitors The electric field lines starts from a positive charge and ends at a negative charge. Gauss s law leads to If the two charge sheets are on two conductor plates, you have a parallel-plate capacitor.
More informationLAST Name (print) ALL WORK MUST BE SHOWN FOR THE FREE RESPONSE QUESTION IN ORDER TO RECEIVE FULL CREDIT.
Physics 107 LAST Name (print) First Mid-Term Exam FIRST Name (print) Summer 2013 Signature: July 5 UIN #: Textbooks, cell phones, or any other forms of wireless communication are strictly prohibited in
More informationPRACTICE EXAM 1 for Midterm 1
PRACTICE EXAM 1 for Midterm 1 Multiple Choice Questions 1) The figure shows three electric charges labeled Q 1, Q 2, Q 3, and some electric field lines in the region surrounding the charges. What are the
More informationAP Physics C. Electric Potential and Capacitance. Free Response Problems
AP Physics C Electric Potential and Capacitance Free Response Problems 1. Two stationary point charges + are located on the y-axis at a distance L from the origin, as shown above. A third charge +q is
More informationPH 222-2A Spring 2015
PH -A Spring 15 Capacitance Lecture 7 Chapter 5 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) 1 Chapter 5 Capacitance In this chapter we will cover the following topics: -Capacitance
More informationWelcome. to Electrostatics
Welcome to Electrostatics Outline 1. Coulomb s Law 2. The Electric Field - Examples 3. Gauss Law - Examples 4. Conductors in Electric Field Coulomb s Law Coulomb s law quantifies the magnitude of the electrostatic
More informationHIGH VOLTAGE TECHNIQUES Basic Electrode Systems (3)
HIGH VOLTAGE TECHNIQES Basic Electrode Systems (3) Assistant Professor Suna BOLAT KRÖGER Eastern Mediterranean niversity Department of Electric & Electronic Engineering 1 Basic electrode systems Different
More informationLouisiana State University Physics 2102, Exam 2, March 5th, 2009.
PRINT Your Name: Instructor: Louisiana State University Physics 2102, Exam 2, March 5th, 2009. Please be sure to PRINT your name and class instructor above. The test consists of 4 questions (multiple choice),
More informationQuiz Fun! This box contains. 1. a net positive charge. 2. no net charge. 3. a net negative charge. 4. a positive charge. 5. a negative charge.
Quiz Fun! This box contains 1. a net positive charge. 2. no net charge. 3. a net negative charge. 4. a positive charge. 5. a negative charge. Quiz Fun! This box contains 1. a net positive charge. 2. no
More informationMake sure you show all your work and justify your answers in order to get full credit.
PHYSICS 7B, Lectures & 3 Spring 5 Midterm, C. Bordel Monday, April 6, 5 7pm-9pm Make sure you show all your work and justify your answers in order to get full credit. Problem esistance & current ( pts)
More informationFall Lee - Midterm 2 solutions
Fall 2009 - Lee - Midterm 2 solutions Problem 1 Solutions Part A Because the middle slab is a conductor, the electric field inside of the slab must be 0. Parts B and C Recall that to find the electric
More informationExam 1 Solutions. The ratio of forces is 1.0, as can be seen from Coulomb s law or Newton s third law.
Prof. Eugene Dunnam Prof. Paul Avery Feb. 6, 007 Exam 1 Solutions 1. A charge Q 1 and a charge Q = 1000Q 1 are located 5 cm apart. The ratio of the electrostatic force on Q 1 to that on Q is: (1) none
More informationPHYS 1441 Section 002 Lecture #7
PHYS 1441 Section 002 Lecture #7 Monday, Sept. 25, 2017 Chapter 22 One last Gauss Law Example Chapter 23 Electric Potential Electric Potential Energy Electric Potential due to Point Charges Shape of the
More informationPHYS General Physics for Engineering II FIRST MIDTERM
Çankaya University Department of Mathematics and Computer Sciences 2010-2011 Spring Semester PHYS 112 - General Physics for Engineering II FIRST MIDTERM 1) Two fixed particles of charges q 1 = 1.0µC and
More informationMotion of a charged particle in an electric field. Electric flux
Lecture 3 Chapter 23 Motion of a charged particle in an electric field. Electric flux 95.144 Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss: Chapter
More information3/5/2009 PHYS202 SPRING Lecture notes Electrostatics
PHYS0 SPRING 009 Lecture notes Electrostatics 1 What is Electricity Static effects known since ancient times. Static charges can be made by rubbing certain materials together. Described by Benjamin Franklin
More information