Unit 2: Electric properties of conductors and dielectrics.
|
|
- Marian Foster
- 7 years ago
- Views:
Transcription
1 Unit 2: Electric properties of conductors and dielectrics. Charged conductors in electrostatic equilibrium. Ground. Electrostatic influence. Electric shield. The parallel-plate capacitor. Capacitance. Stored energy in a capacitor. Combination of capacitors. Electric dipole. Dielectrics. Capacitors with dielectric
2 Charged conductors in electrostatic equilibrium Conductors: Materials whose electric charge (electrons) can move from any point to other due to an electric field. By adding e - Net charge By removing e - Net charge + Dielectrics: The electrons are firmly linked to atoms and net charge can not change. Dielectrics can only be polarized. Tipler, chapter 22, section 22.5
3 Charged conductors in electrostatic equilibrium Conductors in electrostatic equilibrium: There isn t net movement of the charges (F=). As electric forces are due to an electric field: r F r = qe = Electric field inside a conductor in electrostatic equilibrium is zero at any point of the conductor. E r = Tipler, chapter 22, section 22.5
4 Charged conductors in electrostatic equilibrium Electric charge in a conductor must reside on the conductor s surface. E E = conductor s inside φ = E ds = Gauss s surface (S) φ S Gauss s theorem Q i = ε Q i = Electric charge must reside on conductor s surface
5 Charged conductors in electrostatic equilibrium Any conductor s point has equal electric potential: B A V V = E dl = B A V = V A B A B Tipler, chapter 23, section 23.5
6 Charged conductors in electrostatic equilibrium Electric field is perpendicular to conductor s surface. If electric field wasn t perpendicular, the tangential component E t should move the charges and so the conductor wouldn t be in equilibrium. E E E n E t Charge moving F = qe t Charge not moving
7 Charged conductors in electrostatic equilibrium Coulomb s theorem: at points near conductor s surface E = σ / ε E ṋ S It can be demonstrated by applying Gauss s law
8 Charged conductors in electrostatic equilibrium Summary of properties of charged conductors in electrostatic equilibrium: E= inside the conductor. All the charge must be on the surface as σ. There isn t charge inside the conductor. Electric potential is constant in all the conductor V=cte. Electric field near the conductor s surface is perpendicular to the surface, with a value: E s = σ/ε
9 Hollow conductor The behaviour of a hollow conductor without charges inside is the same as solid conductor: r E = = E r q V = cte σ i = V = cte
10 The Tip shape effect. St. Elmo s fire (fuego de San Telmo)
11 Electrostatic influence When we put an electric charge near a conductor, electrostatic influence divides the charge inside the conductor. E E i = E i =
12 Total electrostatic influence Total Electrostatic influence between two conductors occurs when all the field lines starting from a conductor end in the other conductor. Surfaces with total influence have the same charge but different sign -Q +Q -Q +Q
13 Ground Electric potential of a spheric conductor is given by: V = Q 4πε R As Earth has a very big radius (R ) related to any object, electric potential of earth (ground) is zero for any charge Q. Ground can take or give any charge without change its electric potential (it s like the sea level) V G = Connecting a device to ground means safety for people
14 Linking a conductor to Ground Linking a conductor to Ground ( ) means: 1. Electric potential is (V=) 2. The conductor can change its charge by taking or giving electrons to Ground. Without charges inside E= r E = V = V= q
15 Electric shield or Faraday s cage A hollow conductor linked to ground divides electrically the inner and outer spaces. It s known as an electric shield. Outer charges don t influence inner space E r q r E = V = σ e σ i =
16 Electric shield or Faraday s cage And inner charges don t influence outer space. r E = r V = E q σ i σ e =
17 The parallel-plate capacitor It s made up by two parallel plate conductors being its surface much more greater than the distance between them (Total electrostatic influence). Tipler, chapter 24, section 24.1
18 The parallel-plate capacitor. Capacitance S -Q -σ E +σ +Q If a parallel-plate capacitor is charged with a charge Q (+Q on a plate and Q on the other plate) (in vacuum): σ = Q S E = σ ε d and the difference of potential between the plates: r r V = V + V = E dr = E d = + σd ε
19 The parallel-plate capacitor. Capacitance The rate Q/V is known as the capacitance (C) of the capacitor, and it s depending on the geometry (size, shape and relative position), and not depending of the charge of the capacitor: Q σs ε S C = = ε = V σd d [C]=M -1 L -2 T 4 I 2 C Unit: Farad (F)
20 Some parallel-plates capacitors
21 Other capacitors. Cilindric capacitor C = 2 ln πε ( r / r ) 2 L 1
22 Combination of capacitors. Capacitors in series When many capacitors are connected in series, all the capacitors have the same charge. 1 C eq = 1 C C C 3 + L = i 1 C i Tipler, chapter 24, section 24.3
23 Combination of capacitors. Capacitors in parallel When many capacitors are connected in parallel, all the capacitors have the same difference of potential. = C = C + C + L C eq 1 2 i i Tipler, chapter 24, section 24.3
24 Stored energy in a capacitor To charge a capacitor means to carry charge from a plate to another plate (negative charge from + to -, or positive charge from to +). Let us take the situation where the charge and the potential of capacitor are q and V. To increase a dq charge, must be done a work (du): - v = q C du = vdq = q C dq Tipler, chapter 24, section 24.2
25 Stored energy in a capacitor To charge a discharged capacitor until Q charge, the work done (stored as energy on the electric field) will be: U Q Q 2 = du = vdq = q C dq = 1 2 Q C From capacitance definition: 2 1 Q 1 U = = QV = 2 C CV 2 Tipler, chapter 24, section 24.2
26 Electric dipole In order to understand the behaviour of dielectrics, it s necessary to know what s a electric dipole. It s the set of two point charges with the same value but different sign. +q Its main feature is the vector dipole moment + - Under an electric field the dipole turns, remaining parallel to E: d r r p = qd -q F = qe E F+ = qe - + E Tipler, chapter 21, section 21.4
27 Dielectrics. Dipolar polarization. Dielectrics with polar molecules. Such molecules act like dipoles, randomly oriented when no electric field is acting. Polar molecule water F=qE Dipoles are oriented when a electric field is acting (dipolar polarization). E Tipler, chapter 24, sections 24.5 and 24.4
28 Dielectrics. Ionic polarization. It occurs on dielectrics with non polar molecules. When an electric field acts, molecules become polars, they turn and polarization occurs (ionic polarization). F=qE Acting an external electric field, centers of positive and negative charge are displaced, resulting on electric dipoles. Dipoles are oriented when a electric field is acting E Tipler, chaper 24, sections 24.5 and 24.4
29 Dielectrics. Behaviour on an electric field. When the dielectric is polarized (both by dipolar or ionic polarization), it creates an electric field (E d ) opposite to the original E. The electric field resulting E is lower than the original. E d E=E o -E d =E /ε r < E o ε r (or k) is characteristic for each material, and it s called relative dielectric permitivity or dielectric constant. E ε r k goes from 1 to
30 Capacitor with dielectric. -Q V E = = E Q Sε d = Qd Q Sε Q V E = E = Ed = ε = r Qd Sε ε Q Sε ε r r V = ε r V Q V ε S d C = = Capacitor without dielectric V Q Sε ε C = = ε > V d Capacitor with dielectric r = rc C The effect to fill a capacitor with a dielectric is the increasing on capacitance. It s multipied by the relative dielectric constant: C = ε C > C r Tipler, chapter 24, section 24.4
Chapter 4. Electrostatic Fields in Matter
Chapter 4. Electrostatic Fields in Matter 4.1. Polarization A neutral atom, placed in an external electric field, will experience no net force. However, even though the atom as a whole is neutral, the
More informationHW6 Solutions Notice numbers may change randomly in your assignments and you may have to recalculate solutions for your specific case.
HW6 Solutions Notice numbers may change randomly in your assignments and you may have to recalculate solutions for your specific case. Tipler 22.P.053 The figure below shows a portion of an infinitely
More informationChapter 7: Polarization
Chapter 7: Polarization Joaquín Bernal Méndez Group 4 1 Index Introduction Polarization Vector The Electric Displacement Vector Constitutive Laws: Linear Dielectrics Energy in Dielectric Systems Forces
More informationElectric Fields in Dielectrics
Electric Fields in Dielectrics Any kind of matter is full of positive and negative electric charges. In a dielectric, these charges cannot move separately from each other through any macroscopic distance,
More informationCHAPTER 26 ELECTROSTATIC ENERGY AND CAPACITORS
CHAPTER 6 ELECTROSTATIC ENERGY AND CAPACITORS. Three point charges, each of +q, are moved from infinity to the vertices of an equilateral triangle of side l. How much work is required? The sentence preceding
More information( )( 10!12 ( 0.01) 2 2 = 624 ( ) Exam 1 Solutions. Phy 2049 Fall 2011
Phy 49 Fall 11 Solutions 1. Three charges form an equilateral triangle of side length d = 1 cm. The top charge is q = - 4 μc, while the bottom two are q1 = q = +1 μc. What is the magnitude of the net force
More informationChapter 18. Electric Forces and Electric Fields
My lecture slides may be found on my website at http://www.physics.ohio-state.edu/~humanic/ ------------------------------------------------------------------- Chapter 18 Electric Forces and Electric Fields
More informationExam 2 Practice Problems Part 1 Solutions
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Exam Practice Problems Part 1 Solutions Problem 1 Electric Field and Charge Distributions from Electric Potential An electric potential V ( z
More informationQ24.1 The two conductors a and b are insulated from each other, forming a capacitor. You increase the charge on a to +2Q and increase the charge on b
Q24.1 The two conductors a and b are insulated from each other, forming a capacitor. You increase the charge on a to +2Q and increase the charge on b to 2Q, while keeping the conductors in the same positions.
More informationCOURSE: PHYSICS DEGREE: COMPUTER ENGINEERING year: 1st SEMESTER: 1st
COURSE: PHYSICS DEGREE: COMPUTER ENGINEERING year: 1st SEMESTER: 1st WEEKLY PROGRAMMING WEE K SESSI ON DESCRIPTION GROUPS GROUPS Special room for LECTU PRAC session RES TICAL (computer classroom, audiovisual
More informationExercises on Voltage, Capacitance and Circuits. A d = (8.85 10 12 ) π(0.05)2 = 6.95 10 11 F
Exercises on Voltage, Capacitance and Circuits Exercise 1.1 Instead of buying a capacitor, you decide to make one. Your capacitor consists of two circular metal plates, each with a radius of 5 cm. The
More informationELECTRIC FIELD LINES AND EQUIPOTENTIAL SURFACES
ELECTRIC FIELD LINES AND EQUIPOTENTIAL SURFACES The purpose of this lab session is to experimentally investigate the relation between electric field lines of force and equipotential surfaces in two dimensions.
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics. 8.02 Spring 2013 Conflict Exam Two Solutions
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 802 Spring 2013 Conflict Exam Two Solutions Problem 1 (25 points): answers without work shown will not be given any credit A uniformly charged
More informationDEGREE: Bachelor's Degree in Industrial Electronics and Automation COURSE: 1º TERM: 2º WEEKLY PLANNING
SESSION WEEK COURSE: Physics II DEGREE: Bachelor's Degree in Industrial Electronics and Automation COURSE: 1º TERM: 2º WEEKLY PLANNING DESCRIPTION GROUPS (mark ) Indicate YES/NO If the session needs 2
More informationLecture 14 Capacitance and Conductance
Lecture 14 Capacitance and Conductance ections: 6.3, 6.4, 6.5 Homework: ee homework file Definition of Capacitance capacitance is a measure of the ability of the physical structure to accumulate electrical
More informationEE301 Lesson 14 Reading: 10.1-10.4, 10.11-10.12, 11.1-11.4 and 11.11-11.13
CAPACITORS AND INDUCTORS Learning Objectives EE301 Lesson 14 a. Define capacitance and state its symbol and unit of measurement. b. Predict the capacitance of a parallel plate capacitor. c. Analyze how
More informationChapter 27 Magnetic Field and Magnetic Forces
Chapter 27 Magnetic Field and Magnetic Forces - Magnetism - Magnetic Field - Magnetic Field Lines and Magnetic Flux - Motion of Charged Particles in a Magnetic Field - Applications of Motion of Charged
More informationChapter 22: The Electric Field. Read Chapter 22 Do Ch. 22 Questions 3, 5, 7, 9 Do Ch. 22 Problems 5, 19, 24
Chapter : The Electric Field Read Chapter Do Ch. Questions 3, 5, 7, 9 Do Ch. Problems 5, 19, 4 The Electric Field Replaces action-at-a-distance Instead of Q 1 exerting a force directly on Q at a distance,
More informationLecture 5. Electric Flux and Flux Density, Gauss Law in Integral Form
Lecture 5 Electric Flux and Flux ensity, Gauss Law in Integral Form ections: 3.1, 3., 3.3 Homework: ee homework file LECTURE 5 slide 1 Faraday s Experiment (1837), Flux charge transfer from inner to outer
More informationChapter 22: Electric Flux and Gauss s Law
22.1 ntroduction We have seen in chapter 21 that determining the electric field of a continuous charge distribution can become very complicated for some charge distributions. t would be desirable if we
More informationLast Name: First Name: Physics 102 Spring 2006: Exam #2 Multiple-Choice Questions 1. A charged particle, q, is moving with speed v perpendicular to a uniform magnetic field. A second identical charged
More informationA wave lab inside a coaxial cable
INSTITUTE OF PHYSICS PUBLISHING Eur. J. Phys. 25 (2004) 581 591 EUROPEAN JOURNAL OF PHYSICS PII: S0143-0807(04)76273-X A wave lab inside a coaxial cable JoãoMSerra,MiguelCBrito,JMaiaAlves and A M Vallera
More informationElectromagnetism Laws and Equations
Electromagnetism Laws and Equations Andrew McHutchon Michaelmas 203 Contents Electrostatics. Electric E- and D-fields............................................. Electrostatic Force............................................2
More informationChapter 23 Electric Potential. Copyright 2009 Pearson Education, Inc.
Chapter 23 Electric Potential 23-1 Electrostatic Potential Energy and Potential Difference The electrostatic force is conservative potential energy can be defined. Change in electric potential energy is
More informationMETHODS FOR THE CALIBRATION OF ELECTROSTATIC MEASURING INSTRUMENTS
METHODS FOR THE CALIBRATION OF ELECTROSTATIC MEASURING INSTRUMENTS Contents Foreword --------------------------------------------------------------------------------------------------------------------
More informationLab 4: Magnetic Force on Electrons
Lab 4: Magnetic Force on Electrons Introduction: Forces on particles are not limited to gravity and electricity. Magnetic forces also exist. This magnetic force is known as the Lorentz force and it is
More informationElectric Energy and Potential
Electric Energy and Potential 15 In the last chapter we discussed the forces acting between electric charges. Electric fields were shown to be produced by all charges and electrical interactions between
More informationHW7 Solutions Notice numbers may change randomly in your assignments and you may have to recalculate solutions for your specific case.
HW7 Solutions Notice numbers may change randomly in your assignments and you may have to recalculate solutions for your specific case. Tipler 24.P.021 (a) Find the energy stored in a 20.00 nf capacitor
More informationMeasurement of Capacitance
Measurement of Capacitance Pre-Lab Questions Page Name: Class: Roster Number: Instructor:. A capacitor is used to store. 2. What is the SI unit for capacitance? 3. A capacitor basically consists of two
More informationPhysics 202, Lecture 3. The Electric Field
Physics 202, Lecture 3 Today s Topics Electric Field Quick Review Motion of Charged Particles in an Electric Field Gauss s Law (Ch. 24, Serway) Conductors in Electrostatic Equilibrium (Ch. 24) Homework
More informationHow to transform, with a capacitor, thermal energy into usable work.
How to transform, with a capacitor, thermal energy into usable work. E. N. Miranda 1 CONICET CCT Mendoza 55 Mendoza, Argentina and Facultad de Ingeniería Universidad de Mendoza 55 Mendoza, Argentina Abstract:
More informationExam 1 Practice Problems Solutions
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8 Spring 13 Exam 1 Practice Problems Solutions Part I: Short Questions and Concept Questions Problem 1: Spark Plug Pictured at right is a typical
More informationCHAPTER 24 GAUSS S LAW
CHAPTER 4 GAUSS S LAW 4. The net charge shown in Fig. 4-40 is Q. Identify each of the charges A, B, C shown. A B C FIGURE 4-40 4. From the direction of the lines of force (away from positive and toward
More informationElectrostatic Fields: Coulomb s Law & the Electric Field Intensity
Electrostatic Fields: Coulomb s Law & the Electric Field Intensity EE 141 Lecture Notes Topic 1 Professor K. E. Oughstun School of Engineering College of Engineering & Mathematical Sciences University
More informationCHAPTER 6 Chemical Bonding
CHAPTER 6 Chemical Bonding SECTION 1 Introduction to Chemical Bonding OBJECTIVES 1. Define Chemical bond. 2. Explain why most atoms form chemical bonds. 3. Describe ionic and covalent bonding.. 4. Explain
More information19 ELECTRIC POTENTIAL AND ELECTRIC FIELD
CHAPTER 19 ELECTRIC POTENTIAL AND ELECTRIC FIELD 663 19 ELECTRIC POTENTIAL AND ELECTRIC FIELD Figure 19.1 Automated external defibrillator unit (AED) (credit: U.S. Defense Department photo/tech. Sgt. Suzanne
More informationCapacitance and Ferroelectrics
Ram Seshadri MRL 2031, x6129 seshadri@mrl.ucsb.edu; http://www.mrl.ucsb.edu/ seshadri/teach.html Capacitance and Ferroelectrics A voltage V applied across a capacitor of caacitance C allows a quantity
More informationCHAPTER - 1. Chapter ONE: WAVES CHAPTER - 2. Chapter TWO: RAY OPTICS AND OPTICAL INSTRUMENTS. CHAPTER - 3 Chapter THREE: WAVE OPTICS PERIODS PERIODS
BOARD OF INTERMEDIATE EDUCATION, A.P., HYDERABAD REVISION OF SYLLABUS Subject PHYSICS-II (w.e.f 2013-14) Chapter ONE: WAVES CHAPTER - 1 1.1 INTRODUCTION 1.2 Transverse and longitudinal waves 1.3 Displacement
More informationThe Electric Field. Electric Charge, Electric Field and a Goofy Analogy
. The Electric Field Concepts and Principles Electric Charge, Electric Field and a Goofy Analogy We all know that electrons and protons have electric charge. But what is electric charge and what does it
More informationVector surface area Differentials in an OCS
Calculus and Coordinate systems EE 311 - Lecture 17 1. Calculus and coordinate systems 2. Cartesian system 3. Cylindrical system 4. Spherical system In electromagnetics, we will often need to perform integrals
More informationPhysics 210 Q1 2012 ( PHYSICS210BRIDGE ) My Courses Course Settings
1 of 11 9/7/2012 1:06 PM Logged in as Julie Alexander, Instructor Help Log Out Physics 210 Q1 2012 ( PHYSICS210BRIDGE ) My Courses Course Settings Course Home Assignments Roster Gradebook Item Library
More informationPHYSICS HIGHER SECONDARY SECOND YEAR VOLUME - I. Revised based on the recommendation of the Textbook Development Committee. Untouchability is a sin
PHYSICS HIGHER SECONDARY SECOND YEAR VOLUME - I Revised based on the recommendation of the Textbook Development Committee Untouchability is a sin Untouchability is a crime Untouchability is inhuman TAMILNADU
More informationChapter 7. DC Circuits
Chapter 7 DC Circuits 7.1 Introduction... 7-3 Example 7.1.1: Junctions, branches and loops... 7-4 7.2 Electromotive Force... 7-5 7.3 Electrical Energy and Power... 7-9 7.4 Resistors in Series and in Parallel...
More information3/5/2014. iclicker Participation Question: A. MgS < AlP < NaCl B. MgS < NaCl < AlP C. NaCl < AlP < MgS D. NaCl < MgS < AlP
Today: Ionic Bonding vs. Covalent Bonding Strengths of Covalent Bonds: Bond Energy Diagrams Bond Polarities: Nonpolar Covalent vs. Polar Covalent vs. Ionic Electronegativity Differences Dipole Moments
More informationChapter 30 Inductance
Chapter 30 Inductance - Mutual Inductance - Self-Inductance and Inductors - Magnetic-Field Energy - The R- Circuit - The -C Circuit - The -R-C Series Circuit . Mutual Inductance - A changing current in
More informationChapter 22 Magnetism
22.6 Electric Current, Magnetic Fields, and Ampere s Law Chapter 22 Magnetism 22.1 The Magnetic Field 22.2 The Magnetic Force on Moving Charges 22.3 The Motion of Charged particles in a Magnetic Field
More informationarxiv:1111.4354v2 [physics.acc-ph] 27 Oct 2014
Theory of Electromagnetic Fields Andrzej Wolski University of Liverpool, and the Cockcroft Institute, UK arxiv:1111.4354v2 [physics.acc-ph] 27 Oct 2014 Abstract We discuss the theory of electromagnetic
More informationELECTRIC FIELDS AND CHARGE
1 E1 ELECTRIC FIELDS AND CHARGE OBJECTIVES Aims In studying this chapter you should aim to understand the basic concepts of electric charge and field and their connections. Most of the material provides
More informationLooking at Capacitors
Module 2 AC Theory Looking at What you'll learn in Module 2: In section 2.1 Common capacitor types and their uses. Basic Circuit Symbols for. In section 2.2 Charge & Discharge How capacitors work. What
More informationCLASS TEST GRADE 11. PHYSICAL SCIENCES: PHYSICS Test 3: Electricity and magnetism
CLASS TEST GRADE 11 PHYSICAL SCIENCES: PHYSICS Test 3: Electricity and magnetism MARKS: 45 TIME: 1 hour INSTRUCTIONS AND INFORMATION 1. Answer ALL the questions. 2. You may use non-programmable calculators.
More informationParallel Plate Capacitor
Parallel Plate Capacitor Capacitor Charge, Plate Separation, and Voltage A capacitor is used to store electric charge. The more voltage (electrical pressure) you apply to the capacitor, the more charge
More informationPHYSICS PAPER 1 (THEORY)
PHYSICS PAPER 1 (THEORY) (Three hours) (Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start writing during this time.) ---------------------------------------------------------------------------------------------------------------------
More informationForce on a square loop of current in a uniform B-field.
Force on a square loop of current in a uniform B-field. F top = 0 θ = 0; sinθ = 0; so F B = 0 F bottom = 0 F left = I a B (out of page) F right = I a B (into page) Assume loop is on a frictionless axis
More informationAP2 Magnetism. (c) Explain why the magnetic field does no work on the particle as it moves in its circular path.
A charged particle is projected from point P with velocity v at a right angle to a uniform magnetic field directed out of the plane of the page as shown. The particle moves along a circle of radius R.
More informationEðlisfræði 2, vor 2007
[ Assignment View ] [ Pri Eðlisfræði 2, vor 2007 28. Sources of Magnetic Field Assignment is due at 2:00am on Wednesday, March 7, 2007 Credit for problems submitted late will decrease to 0% after the deadline
More informationMagnetostatics (Free Space With Currents & Conductors)
Magnetostatics (Free Space With Currents & Conductors) Suggested Reading - Shen and Kong Ch. 13 Outline Review of Last Time: Gauss s Law Ampere s Law Applications of Ampere s Law Magnetostatic Boundary
More informationEpisode 126: Capacitance and the equation C =Q/V
Episode 126: Capacitance and the equation C =Q/V Having established that there is charge on each capacitor plate, the next stage is to establish the relationship between charge and potential difference
More informationFundamentals of Electromagnetic Fields and Waves: I
Fundamentals of Electromagnetic Fields and Waves: I Fall 2007, EE 30348, Electrical Engineering, University of Notre Dame Mid Term II: Solutions Please show your steps clearly and sketch figures wherever
More information1. A wire carries 15 A. You form the wire into a single-turn circular loop with magnetic field 80 µ T at the loop center. What is the loop radius?
CHAPTER 3 SOURCES O THE MAGNETC ELD 1. A wire carries 15 A. You form the wire into a single-turn circular loop with magnetic field 8 µ T at the loop center. What is the loop radius? Equation 3-3, with
More informationGauss Formulation of the gravitational forces
Chapter 1 Gauss Formulation of the gravitational forces 1.1 ome theoretical background We have seen in class the Newton s formulation of the gravitational law. Often it is interesting to describe a conservative
More informationChapter 6. Current and Resistance
6 6 6-0 Chapter 6 Current and Resistance 6.1 Electric Current... 6-2 6.1.1 Current Density... 6-2 6.2 Ohm s Law... 6-5 6.3 Summary... 6-8 6.4 Solved Problems... 6-9 6.4.1 Resistivity of a Cable... 6-9
More informationAFM tip characterization by Kelvin probe force microscopy - Supporting information -
AFM tip characterization by Kelvin probe force microscopy - Supporting information - C. Barth 1, T. Hynninen,4, M. Bieletzki, C. R. Henry 1, A. S. Foster,4, F. Esch and U. Heiz 1 Centre Interdisciplinaire
More informationChapter 1. Introduction of Electrochemical Concepts
Chapter 1. Introduction of Electrochemical Concepts Electrochemistry concerned with the interrelation of electrical and chemical effects. Reactions involving the reactant the electron. Chemical changes
More informationChapter 10 Rotational Motion. Copyright 2009 Pearson Education, Inc.
Chapter 10 Rotational Motion Angular Quantities Units of Chapter 10 Vector Nature of Angular Quantities Constant Angular Acceleration Torque Rotational Dynamics; Torque and Rotational Inertia Solving Problems
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) If the voltage at a point in space is zero, then the electric field must be A) zero. B) positive.
More informationExperiments on the Basics of Electrostatics (Coulomb s law; Capacitor)
Experiments on the Basics of Electrostatics (Coulomb s law; Capacitor) ZDENĚK ŠABATKA Department of Physics Education, Faculty of Mathematics and Physics, Charles University in Prague The physics textbooks
More informationCHAPTER 6 REVIEW. Chemical Bonding. Answer the following questions in the space provided.
Name Date lass APTER 6 REVIEW hemical Bonding SETIN 1 SRT ANSWER Answer the following questions in the space provided. 1. a A chemical bond between atoms results from the attraction between the valence
More informationChapter 19: Magnetic Forces and Fields
Chapter 19: Magnetic Forces and Fields Magnetic Fields Magnetic Force on a Point Charge Motion of a Charged Particle in a Magnetic Field Crossed E and B fields Magnetic Forces on Current Carrying Wires
More informationExploratory Research on the Phenomenon of the Movement of High Voltage Capacitors
Journal of Space Mixing 2 (2004) 1-22. Exploratory Research on the Phenomenon of the Movement of High Voltage Capacitors Doyle R. Buehler 212 Orum Drive, Winnipeg, Manitoba Canada R3B 0R8 email: living@doylebuehler.com
More informationReview Questions PHYS 2426 Exam 2
Review Questions PHYS 2426 Exam 2 1. If 4.7 x 10 16 electrons pass a particular point in a wire every second, what is the current in the wire? A) 4.7 ma B) 7.5 A C) 2.9 A D) 7.5 ma E) 0.29 A Ans: D 2.
More information1. Units of a magnetic field might be: A. C m/s B. C s/m C. C/kg D. kg/c s E. N/C m ans: D
Chapter 28: MAGNETIC FIELDS 1 Units of a magnetic field might be: A C m/s B C s/m C C/kg D kg/c s E N/C m 2 In the formula F = q v B: A F must be perpendicular to v but not necessarily to B B F must be
More informationBonding & Molecular Shape Ron Robertson
Bonding & Molecular Shape Ron Robertson r2 n:\files\courses\1110-20\2010 possible slides for web\00bondingtrans.doc The Nature of Bonding Types 1. Ionic 2. Covalent 3. Metallic 4. Coordinate covalent Driving
More informationExperiment 8: Undriven & Driven RLC Circuits
Experiment 8: Undriven & Driven RLC Circuits Answer these questions on a separate sheet of paper and turn them in before the lab 1. RLC Circuits Consider the circuit at left, consisting of an AC function
More informationThe strength of the interaction
The strength of the interaction Host Guest Supramolecule (host-guest complex) When is the host capable to recognize the guest? How do we define selectivity Which element will we use to design the host
More informationLecture L22-2D Rigid Body Dynamics: Work and Energy
J. Peraire, S. Widnall 6.07 Dynamics Fall 008 Version.0 Lecture L - D Rigid Body Dynamics: Work and Energy In this lecture, we will revisit the principle of work and energy introduced in lecture L-3 for
More informationChapter 2. Atomic Structure and Interatomic Bonding
Chapter 2. Atomic Structure and Interatomic Bonding Interatomic Bonding Bonding forces and energies Primary interatomic bonds Secondary bonding Molecules Bonding Forces and Energies Considering the interaction
More informationChapter 30 - Magnetic Fields and Torque. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University
Chapter 30 - Magnetic Fields and Torque A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 2007 Objectives: After completing this module, you should
More informationGeneral Physics (PHY 2140)
General Physics (PHY 2140) Lecture 12 Electricity and Magnetism Magnetism Magnetic fields and force Application of magnetic forces http://www.physics.wayne.edu/~apetrov/phy2140/ Chapter 19 1 Department
More informationProblem 1 (25 points)
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2012 Exam Three Solutions Problem 1 (25 points) Question 1 (5 points) Consider two circular rings of radius R, each perpendicular
More informationInductors and Capacitors Energy Storage Devices
Inuctors an Capacitors Energy Storage Devices Aims: To know: Basics of energy storage evices. Storage leas to time elays. Basic equations for inuctors an capacitors. To be able to o escribe: Energy storage
More informationDCI for Electronegativity. Data Table:
DCI for Electronegativity Data Table: Substance Ionic/covalent EN value EN Value EN NaCl ionic (Na) 0.9 (Cl) 3.0 2.1 KBr (K) 0.8 (Br) 2.8 MgO (Mg) 1.2 (O) 3.5 HCl (H) 2.1 (Cl) 3.0 HF (H) 2.1 (F) 4.0 Cl
More informationMagnetic Field of a Circular Coil Lab 12
HB 11-26-07 Magnetic Field of a Circular Coil Lab 12 1 Magnetic Field of a Circular Coil Lab 12 Equipment- coil apparatus, BK Precision 2120B oscilloscope, Fluke multimeter, Wavetek FG3C function generator,
More informationPhysics 9e/Cutnell. correlated to the. College Board AP Physics 1 Course Objectives
Physics 9e/Cutnell correlated to the College Board AP Physics 1 Course Objectives Big Idea 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. Enduring
More informationPhysical Chemistry. Tutor: Dr. Jia Falong
Physical Chemistry Professor Jeffrey R. Reimers FAA School of Chemistry, The University of Sydney NSW 2006 Australia Room 702 Chemistry School CCNU Tutor: Dr. Jia Falong Text: Atkins 9 th Edition assumed
More informationStorage Tubes and Their Basic Principles, pp. 93-96
Storage Tubes and Their Basic Principles, pp. 93-96 Description (Fig. 26). This device employs a large number of short parallel beams of electrons emitted from elongated flat cathodes which lie side by
More informationM PROOF OF THE DIVERGENCE THEOREM AND STOKES THEOREM
68 Theor Supplement Section M M POOF OF THE DIEGENE THEOEM ND STOKES THEOEM In this section we give proofs of the Divergence Theorem Stokes Theorem using the definitions in artesian coordinates. Proof
More informationSupercapacitors. Advantages Power density Recycle ability Environmentally friendly Safe Light weight
Supercapacitors Supercapacitors also called ultracapacitors and electric double layer capacitors (EDLC) are capacitors with capacitance values greater than any other capacitor type available today. Capacitance
More informationElectric Field Mapping Lab 3. Precautions
HB 09-25-07 Electric Field Mapping Lab 3 1 Electric Field Mapping Lab 3 Equipment mapping board, U-probe, resistive boards, templates, dc voltmeter (431B), 4 long leads, 16 V dc for wall strip Reading
More informationGenTech Practice Questions
GenTech Practice Questions Basic Electronics Test: This test will assess your knowledge of and ability to apply the principles of Basic Electronics. This test is comprised of 90 questions in the following
More information: : Solutions to Additional Bonding Problems
Solutions to Additional Bonding Problems 1 1. For the following examples, the valence electron count is placed in parentheses after the empirical formula and only the resonance structures that satisfy
More informationChapter 20 Electrostatics and Coulomb s Law 20.1 Introduction electrostatics. 20.2 Separation of Electric Charge by Rubbing
I wish to give an account of some investigations which have led to the conclusion that the carriers of negative electricity are bodies, which I have called corpuscles, having a mass very much smaller than
More informationAircraft Electrical System
Chapter 9 Aircraft Electrical System Introduction The satisfactory performance of any modern aircraft depends to a very great degree on the continuing reliability of electrical systems and subsystems.
More informationCapacitors in Circuits
apacitors in ircuits apacitors store energy in the electric field E field created by the stored charge In circuit apacitor may be absorbing energy Thus causes circuit current to be reduced Effectively
More informationChapter 33. The Magnetic Field
Chapter 33. The Magnetic Field Digital information is stored on a hard disk as microscopic patches of magnetism. Just what is magnetism? How are magnetic fields created? What are their properties? These
More informationPHYS 101-4M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
PHYS 101-4M, Fall 2005 Exam #3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A bicycle wheel rotates uniformly through 2.0 revolutions in
More informationStructure, Polarity & Physical Properties
tructure, Polarity & Physical Properties upplemental packet handouts 92-96 I. Lewis structure, stability, and bond energies A. ydrogen, oxygen, and nitrogen are present in the atmosphere as diatomic molecular
More informationH 2O gas: molecules are very far apart
Non-Covalent Molecular Forces 2/27/06 3/1/06 How does this reaction occur: H 2 O (liquid) H 2 O (gas)? Add energy H 2O gas: molecules are very far apart H 2O liquid: bonding between molecules Use heat
More informationWhen the fluid velocity is zero, called the hydrostatic condition, the pressure variation is due only to the weight of the fluid.
Fluid Statics When the fluid velocity is zero, called the hydrostatic condition, the pressure variation is due only to the weight of the fluid. Consider a small wedge of fluid at rest of size Δx, Δz, Δs
More informationE/M Experiment: Electrons in a Magnetic Field.
E/M Experiment: Electrons in a Magnetic Field. PRE-LAB You will be doing this experiment before we cover the relevant material in class. But there are only two fundamental concepts that you need to understand.
More informationA pure covalent bond is an equal sharing of shared electron pair(s) in a bond. A polar covalent bond is an unequal sharing.
CHAPTER EIGHT BNDING: GENERAL CNCEPT or Review 1. Electronegativity is the ability of an atom in a molecule to attract electrons to itself. Electronegativity is a bonding term. Electron affinity is the
More information