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### Ch8

Course: COT 4501, Fall 2011
School: University of Florida
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University of Florida - COT - 4501
University of Florida - PHY - 2020
Physics 2020 Exam 1 Constants and FormulaeUseful Constants ke G mp c 1 eV 1 1 km = 8.99 109 N m2/C2 = 6.673 10-11 N m2 / kg2 = 1.672 10-27 kg = 3.00 108 m/s = 1.602 10-19 J = 1 micro = 10-6 = 103 m= 8.85 10-12 C2 /(N m2) = 1.602 10-19 C = 9.110 10-31 kg
University of Florida - PHY - 2020
University of Florida - PHY - 2020
Physics 2020 Exam 2 Constants and FormulaeUseful Constants ke me= 8.99 109 N m2/C2 = 4 10-7 T m/A = 9.110 10-31 kg = 8.85 10-12 C2 /(N m2) = 1.602 10-19 J = 103 m = 8.64 104 sc e mp g 1T 1 hr 1 yr= 3.00 108 m/s = 1.602 10-19 C = 1.672 10-27 kg = 9.80
University of Florida - PHY - 2020
University of Florida - PHY - 2020
Physics 2020-002 Exam 3 Constants and FormulaeG = 6.673 10-11 N m2 / kg2 c = 2.997925 108 m/s R = 6.96 108 m Ith = 1.00 10-12 W/m2 1 eV = 1.60219 10-19 J 1 km = 103 m 1 min = 60 s h = 6.62620 10-34 J s = 5.6696 10-8 W/(m2 K4) g = 9.80 m/s2 Itp = 1.00 W/m
University of Florida - PHY - 2020
University of Florida - PHY - 2020
Physics 2020 Constants and FormulaeUseful Constants ke G h c Ith 1 eV = 8.99 109 N m2 /C2 = 6.673 10-11 N m2 / kg2 = 6.626 10-34 J s = 3.00 108 m/s = 1.00 10-12 W/m2 = 1.602 10-19 J g e mp me Itp 1 cm 1 hr 1 nm = 9.80 m/s2 = 1.602 10-19 C = 1.672 10-27 k
University of Florida - PHY - 2020
University of Florida - PHY - 2020
PHYS-2020: General Physics II Problem Set 1, Spring 2012There are 10 problems you are to complete via the web at http:/capa.etsu.edu/ You will gain access to this set by typing in your CAPA Student Number and CAPA ID which will be supplied to you. These
University of Florida - PHY - 2020
University of Florida - PHY - 2020
PHYS-2020: General Physics II Problem Set 2, Spring 2012There are 8 problems you are to complete via the web at http:/capa.etsu.edu/ You will gain access to this set by typing in your CAPA Student Number and CAPA ID which will be supplied to you. These p
University of Florida - PHY - 2020
University of Florida - PHY - 2020
PHYS-2020: General Physics II Problem Set 3, Spring 2012There are 9 problems you are to complete via the web at http:/capa.etsu.edu/ You will gain access to this set by typing in your CAPA Student Number and CAPA ID which will be supplied to you. These p
University of Florida - PHY - 2020
University of Florida - PHY - 2020
PHYS-2020: General Physics II Problem Set 4, Spring 2012There are 8 problems you are to complete via the web at http:/capa.etsu.edu/ You will gain access to this set by typing in your CAPA Student Number and CAPA ID which will be supplied to you. These p
University of Florida - PHY - 2020
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section IDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II t
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section IIDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section IIIDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section IVDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section VDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II t
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section VIDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section VIIDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section VIIIDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics I
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section IXDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section XDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II t
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section XIDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section XIIDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section XIIIDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics I
University of Florida - PHY - 2020
PHYS-2020: General Physics II Course Lecture Notes Section XIVDr. Donald G. Luttermoser East Tennessee State UniversityEdition 3.3AbstractThese class notes are designed for use of the instructor and students of the course PHYS-2020: General Physics II
University of Florida - PHY - 2020
Physics 2020 Exam 1 Review QuestionsDr. Luttermoser's Class1. Robert Millikan made a fundamental discovery about electric charges in 1909. What was it? 2. What is the difference between conductors, semiconductors, and insulators? 3. What is meant by a c
University of Florida - PHY - 2020
Physics 2020 Exam 2 Review QuestionsDr. Luttermoser's Class1. How is emf different from potential difference? What is a load resistance? 2. One can often reduce a complicated circuit to a simple circuit. How do resistors add in a parallel circuit? And i
University of Florida - PHY - 2020
Physics 2020 Exam 3 Review QuestionsDr. Luttermoser's Class1. What is Hooke's Law? How is this related to simple harmonic motion? How does energy change with a simple harmonic oscillator (SHO)? 2. When does a pendulum behave like a SHO? What is the peri
University of Florida - PHY - 2020
Physics 2020 Exam 4 Review QuestionsDr. Luttermoser's ClassNote that your final exam is comprehensive. I consider half of the Final as Exam 4 which covers material since Exam 3. For the final, study items from all 4 review sheets: Exam 1 Review, Exam 2
University of Florida - PHY - 2030
Lecture 1 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Term Overview - [Hand out to each student a printed copy of the &quot;Course Policy&quot;, &quot;Calendar&quot; and read them] - [Hand out to each student a printed copy of
University of Florida - PHY - 2030
Lecture 2 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Surface Charge Density on an Arbitrary Surface - Take Gauss's Law in Integral Formn' En da= x d 3 x01E2- Where n is the vector normal to the boundi
University of Florida - PHY - 2030
Lecture 3 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Method of Images - Use the method of images when one or more point charges are in the presence of boundary surfaces with constant potentials across them.
University of Florida - PHY - 2030
Lecture 4 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Orthogonal Functions and Expansions - In the interval (a, b) of the variable x, a set of real or complex functions Un(x) where n = 1, 2, . are orthogonal
University of Florida - PHY - 2030
Lecture 5 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. The Laplace Equation in Spherical Coordinates - In this coordinate system, r is the radial distance from the origin to the observation point, is the pola
University of Florida - PHY - 2030
Lecture 6 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Associated Legendre Polynomials - We now return to solving the Laplace equation in spherical coordinates when there is no azimuthal symmetry by solving t
University of Florida - PHY - 2030
Lecture 7 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Expansion of Green Functions in Spherical Coordinates - Consider the problem of a spherical boundary with radius a, the potential is known on the boundar
University of Florida - PHY - 2030
Lecture 8 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Multipole Expansion of the Potential - Consider a localized charge density completely contained within some region R. - Very far away from the region R,
University of Florida - PHY - 2030
Lecture 9 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Electrostatic Equations with Ponderable Materials - We desire to find the electric fields of any system which includes non-conducting material. (Air is t
University of Florida - PHY - 2030
Lecture 10 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Magnetostatics Introduction - All of the proceeding concepts have been applied to electrostatics: when static electric charges create static electric fi
University of Florida - PHY - 2030
Lecture 11 Notes, 95.657 Electromagnetic Theory I, Fall 2010Dr. Christopher S. Baird, UMass Lowell1. Magnetic Fields of a Localized Current Distribution - Similar to the electrostatic multipole expansion, if we have a localized current distribution and
University of Florida - PHY - 2030
Lecture 12 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Review of Magnetostatics in Magnetic Materials - Currents give rise to curling magnetic fields:B= 0 J total or H=J or M=J M where J total=JJ M- There
University of Florida - PHY - 2030
Lecture 13 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. Static Equations and Faraday's Law - The two fundamental equations of electrostatics are shown below. E= total 0 Coulomb's Law in Differential Form- Th
University of Florida - PHY - 2030
Lecture 14 Notes, 95.657 Electromagnetic Theory I, Fall 2011Dr. Christopher S. Baird, UMass Lowell1. The Maxwell Equations - In the previous lecture, we showed that in order for Ampere's law to hold even for non-static fields and for the continuity equa
University of Florida - PHY - 2030
Mid-Term Exam: Graduate Electromagnetics I, 95.657Fall 2008, UMass Lowell, Dr. BairdThis in-class examination lasts 80 minutes. No calculators, electronic devices, books or notes allowed. The later problems become increasingly harder and are correspondi
University of Florida - PHY - 2030
Mid-Term Exam: Graduate Electromagnetics I, 95.657Fall 2008, UMass Lowell, Dr. BairdThis in-class examination lasts 80 minutes. No calculators, electronic devices, books or notes allowed. The later problems become increasingly harder and are correspondi
University of Florida - PHY - 2030
Final Exam: Graduate Electromagnetics I, 95.657Fall 2008, UMass Lowell, Dr. BairdPart I: Multiple Choice (60 Points) Circle only one answer to each question. In this section, you should be able to determine which answer is correct using only physical ar
University of Florida - PHY - 2030
Final Exam: Graduate Electromagnetics I, 95.657Fall 2008, UMass Lowell, Dr. BairdPart I: Multiple Choice (60 Points) Circle only one answer to each question. In this section, you should be able to determine which answer is correct using only physical ar
University of Florida - PHY - 2030
Homework 1 Answers, 95.657 Electromagnetic Theory IDr. Christopher S. Baird, UMass LowellJackson 1.1 Use Gauss's theoremS En da= q0and Ed l=0to prove the following:a) Any excess charge placed on a conductor must lie entirely on its surface. (A con
University of Florida - PHY - 2030
Homework 2 Answers, 95.657 Electromagnetic Theory IDr. Christopher S. Baird, UMass LowellJackson 1.5 The time-averaged potential of a neutral hydrogen atom is given by = q e- r 1 1 r 4 0 r 2where q is the magnitude of the electronic charge, and -1=a 0
University of Florida - PHY - 2030
Homework 3 Answers, 95.657 Electromagnetic Theory IDr. Christopher S. Baird, UMass LowellJackson 2.3 A straight-line charge with constant linear charge is located perpendicular to the x-y plane in the first quadrant at (x0, y0). The intersecting planes
University of Florida - PHY - 2030
Homework 4 Answers, 95.657 Electromagnetic Theory IDr. Christopher S. Baird, UMass LowellJackson 2.13 (a) Two halves of a long hollow conducting cylinder of inner radius b are separated by small lengthwise gaps on each side, and are kept at different po
University of Florida - PHY - 2030
Homework 5 Answers, 95.657 Electromagnetic Theory IDr. Christopher S. Baird, UMass LowellJackson 3.1 Two concentric spheres have radii a, b (b &gt; a) and each is divided into two hemispheres by the same horizontal plane. The upper hemisphere of the inner
University of Florida - PHY - 2030
Homework 6 Answers, 95.657 Electromagnetic Theory IDr. Christopher S. Baird, UMass LowellJackson 3.4 The surface of a hollow conducting sphere of inner radius a is divided into an even number of equal segments by a set of planes; their common line of in
University of Florida - PHY - 2030
Homework 7 Answers, 95.657 Electromagnetic Theory IDr. Christopher S. Baird, UMass LowellJackson 3.14 A line charge of length 2d with a total charge Q has a linear charge density varying as (d2 z2), where z is the distance from the midpoint. A grounded,
University of Florida - PHY - 2030
Homework 8 Answers, 95.657 Electromagnetic Theory IDr. Christopher S. Baird, UMass LowellSupplemental Problem C For the two cases shown below, (a) calculate all the monopole, dipole and quadrupole moments and write down the potential far away in terms o