Electromagnetic Waves
|
|
- Diana Jenkins
- 5 years ago
- Views:
Transcription
1 Physics 102: Lecture 15 Electromagnetic Waves Energy & Polarization Physics 102: Lecture 15, Slide 1
2 Checkpoint 1.1, 1.2 y E x loop in xy plane loop in xz plane A B C Physics 102: Lecture 15, Slide 2
3 Propagation of EM Waves y z x Changing B field creates E field Changing E field creates B field Physics 102: Lecture 15, Slide 3 E = c B If you decrease E, you also decrease B!
4 CheckPoint 1.4 Suppose that the electric field of an electromagnetic wave decreases in magnitude. The magnetic field: 1 increases 2 decreases 3 remains the same Physics 102: Lecture 15, Slide 4
5 There is energy associated with electric and magnetic fields and electromagnetic waves! WHY? It takes work to create electric and magnetic fields Physics 102: Lecture 15, Slide 5
6 Energy in E field Electric Fields Recall Capacitor Energy: U = ½ C V 2 E A C = ε oa d V = Ed d U = 1 2 CV2 = 1 ε 0 A 2 d E2 d 2 = 1 2 ε 0E 2 Ad = 1 2 ε 0E 2 V Physics 102: Lecture 15, Slide 6 volume
7 Energy in B field l Magnetic Fields Recall Inductor Energy: U = ½ L I 2 A L = μ o n 2 la B = μ o ni U = 1 2 LI2 = 1 2 μ 0n 2 la B2 B 2 μ 2 0 n 2 = 1 Al 2 μ 0 volume = 1 2 B 2 μ 0 V Physics 102: Lecture 15, Slide 7
8 Intensity (I or S) = Power/Area Energy (U) hitting flat surface in time t = Energy U in laser beam (red cylinder): U = 1 2 ε 0E = ε 0 E 2 Act Power (P): P = U/t Physics 102: Lecture 15, Slide 8 B 2 μ 0 Intensity (I or S): S = P/A [W/m 2 ] V = 1 2 ε 0E c 2 μ 0 B = E/c A L=ct c = 1/ μ 0 ε 0 = ce 0 E 2 rms U = Energy A = Cross sectional area of laser beam E 2 V L = Length of laser beam
9 The intensity of sunlight at the earth is approximately 1000W/m 2. A solar cooker collects light using a 1 m 2 area and focuses that light onto a pot of food. How much power is delivered to the food? S = P/A P = = = W What is the rms magnitude of the electric field of the light when it hits the solar cooker? S = cε 0 E2 rms E rms = = = Physics 102: Lecture 15, Slide 9
10 Polarization Transverse waves have a polarization (Direction of oscillation of E field for light) Types of Polarization Linear (Direction of E is constant) Circular (Direction of E rotates with time) Unpolarized (Direction of E changes randomly) y z x Physics 102: Lecture 15, Slide 10
11 Linear Polarizers Linear Polarizers absorb all electric fields perpendicular to their transmission axis () Physics 102: Lecture 15, Slide 11
12 Linearly Polarized Light on Linear Polarizer (Law of Malus) E tranmitted = E incident cos(q) S transmitted = S incident cos 2 (q) q q is the angle between the incoming polarization and the transmission axis Incident E Transmission axis Physics 102: Lecture 15, Slide 12 q E Transmitted = E incident cos(q)
13 Unpolarized Light on Linear Polarizer Most light comes from electrons accelerating in random directions and is unpolarized. Averaging over all directions: S transmitted = ½ S incident Physics 102: Lecture 15, Slide 13 Always true for unpolarized light!
14 CheckPoint 15.6 Unpolarized light (like the light from the sun) passes through a polarizing sunglass (a linear polarizer). The intensity of the light when it emerges is 1. zero 2. 1/2 what it was before 3. 1/4 what it was before 4. 1/3 what it was before 5. need more information Physics 102: Lecture 15, Slide 14
15 ACT/CheckPoint 15.7 Now, horizontally polarized light passes through the same glasses (which are vertically polarized). The intensity of the light when it emerges is 1. zero 2. 1/2 what it was before 3. 1/4 what it was before 4. 1/3 what it was before 5. need more information Physics 102: Lecture 15, Slide 15
16 Law of Malus 2 Polarizers E 0 E 1 unpolarized light S I = I 0 S 0 B 1 S 1 S 2 I 3 1) Intensity of unpolarized light incident on linear polarizer is reduced by ½. S 1 = 2) Light transmitted through first polarizer is vertically polarized. Angle between it and second polarizer is q=90º. S 2 = Physics 102: Lecture 15, Slide 16
17 How do polarized sunglasses work? incident light unpolarized reflected light partially polarized the sunglasses reduce the glare from reflected light Physics 102: Lecture 15, Slide 17
18 Law of Malus 3 Polarizers E 0 E 1 unpolarized light I = I 0 Physics 102: Lecture 15, Slide 18 B 1 I 1 = ½ I 0 I 2 = I 1 cos 2 (45) 2) Light transmitted through first polarizer is vertically polarized. Angle between it and second polarizer is q=45º. I 2 = 3) Light transmitted through second polarizer is polarized 45º from vertical. Angle between it and third polarizer is q=45º. I 3 = I 3
19 ACT: Law of Malus 6 E 0 E 0 6 S 0 S 0 S 1 S 1 S 2 S 2 A B 1) S 2 A > S 2 B 2) S 2 A = S 2 B 3) S 2 A < S 2 B Physics 102: Lecture 15, Slide 19
Electromagnetic wave energy & polarization
Phys 0 Lecture 6 Electromagnetic wave energy & polarization Today we will... Learn about properties p of electromagnetic waves Energy density & intensity Polarization linear, circular, unpolarized Apply
More informationElectromagnetic Waves
Lecture 20 Chapter 34 Physics II Electromagnetic Waves Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Let s finish climbing our EM mountain. Maxwell s equations Let s revisit
More informationEM Waves. From previous Lecture. This Lecture More on EM waves EM spectrum Polarization. Displacement currents Maxwell s equations EM Waves
EM Waves This Lecture More on EM waves EM spectrum Polarization From previous Lecture Displacement currents Maxwell s equations EM Waves 1 Reminders on waves Traveling waves on a string along x obey the
More informationLECTURE 11 ELECTROMAGNETIC WAVES & POLARIZATION. Instructor: Kazumi Tolich
LECTURE 11 ELECTROMAGNETIC WAVES & POLARIZATION Instructor: Kazumi Tolich Lecture 11 2 25.5 Electromagnetic waves Induced fields Properties of electromagnetic waves Polarization Energy of electromagnetic
More informationChapter 34. Electromagnetic Waves
Chapter 34 Electromagnetic Waves Waves If we wish to talk about electromagnetism or light we must first understand wave motion. If you drop a rock into the water small ripples are seen on the surface of
More informationLECTURE 11 ELECTROMAGNETIC WAVES & POLARIZATION. Instructor: Kazumi Tolich
LECTURE 11 ELECTROMAGNETIC WAVES & POLARIZATION Instructor: Kazumi Tolich Lecture 11 2 25.5 Electromagnetic waves Induced fields Properties of electromagnetic waves Polarization Energy of electromagnetic
More informationPhysics 214 Course Overview
Physics 214 Course Overview Lecturer: Mike Kagan Course topics Electromagnetic waves Optics Thin lenses Interference Diffraction Relativity Photons Matter waves Black Holes EM waves Intensity Polarization
More informationChapter 1 - The Nature of Light
David J. Starling Penn State Hazleton PHYS 214 Electromagnetic radiation comes in many forms, differing only in wavelength, frequency or energy. Electromagnetic radiation comes in many forms, differing
More informationOscillations and Electromagnetic Waves. March 30, 2014 Chapter 31 1
Oscillations and Electromagnetic Waves March 30, 2014 Chapter 31 1 Three Polarizers! Consider the case of unpolarized light with intensity I 0 incident on three polarizers! The first polarizer has a polarizing
More informationChapter 34. Electromagnetic Waves
Chapter 34 Electromagnetic Waves The Goal of the Entire Course Maxwell s Equations: Maxwell s Equations James Clerk Maxwell 1831 1879 Scottish theoretical physicist Developed the electromagnetic theory
More informationPolarized Light. Nikki Truss. Abstract:
Polarized Light Nikki Truss 9369481 Abstract: In this experiment, the properties of linearly polarised light were examined. Malus Law was verified using the apparatus shown in Fig. 1. Reflectance of s-polarised
More informationWaves & Oscillations
Physics 42200 Waves & Oscillations Lecture 32 Electromagnetic Waves Spring 2016 Semester Matthew Jones Electromagnetism Geometric optics overlooks the wave nature of light. Light inconsistent with longitudinal
More informationLab #13: Polarization
Lab #13: Polarization Introduction In this experiment we will investigate various properties associated with polarized light. We will study both its generation and application. Real world applications
More informationPhysics 201. Professor P. Q. Hung. 311B, Physics Building. Physics 201 p. 1/3
Physics 201 p. 1/3 Physics 201 Professor P. Q. Hung 311B, Physics Building Physics 201 p. 2/3 What are electromagnetic waves? Electromagnetic waves consist of electric fields and magnetic fields which
More informationPH 222-2C Fall Electromagnetic Waves Lectures Chapter 33 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition)
PH 222-2C Fall 2012 Electromagnetic Waves Lectures 21-22 Chapter 33 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition) 1 Chapter 33 Electromagnetic Waves Today s information age is based almost
More informationElectromagnetic Waves. Chapter 33 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition)
PH 222-3A Spring 2007 Electromagnetic Waves Lecture 22 Chapter 33 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition) 1 Chapter 33 Electromagnetic Waves Today s information age is based almost
More informationChapter 33. Electromagnetic Waves
Chapter 33 Electromagnetic Waves Today s information age is based almost entirely on the physics of electromagnetic waves. The connection between electric and magnetic fields to produce light is own of
More informationTopic 4: Waves 4.3 Wave characteristics
Guidance: Students will be expected to calculate the resultant of two waves or pulses both graphically and algebraically Methods of polarization will be restricted to the use of polarizing filters and
More informationMaxwell Equations: Electromagnetic Waves
Maxwell Equations: Electromagnetic Waves Maxwell s Equations contain the wave equation The velocity of electromagnetic waves: c = 2.99792458 x 10 8 m/s The relationship between E and B in an EM wave Energy
More informationChapter 9. Reflection, Refraction and Polarization
Reflection, Refraction and Polarization Introduction When you solved Problem 5.2 using the standing-wave approach, you found a rather curious behavior as the wave propagates and meets the boundary. A new
More informationTwo point charges, A and B, lie along a line separated by a distance L. The point x is the midpoint of their separation.
Use the following to answer question 1. Two point charges, A and B, lie along a line separated by a distance L. The point x is the midpoint of their separation. 1. Which combination of charges would yield
More informationLight Waves and Polarization
Light Waves and Polarization Xavier Fernando Ryerson Communications Lab http://www.ee.ryerson.ca/~fernando The Nature of Light There are three theories explain the nature of light: Quantum Theory Light
More information16. More About Polarization
16. More About Polarization Polarization control Wave plates Circular polarizers Reflection & polarization Scattering & polarization Birefringent materials have more than one refractive index A special
More informationPolarization. If the original light is initially unpolarized, the transmitted intensity I is half the original intensity I 0 :
33-4 33-4 Polarization Polarization Electromagnetic waves are polarized if their electric field vectors are all in a single plane, called the plane of oscillation. Light waves from common sources are not
More informationLecture 4: Polarisation of light, introduction
Lecture 4: Polarisation of light, introduction Lecture aims to explain: 1. Light as a transverse electro-magnetic wave 2. Importance of polarisation of light 3. Linearly polarised light 4. Natural light
More informationImpedance/Reactance Problems
Impedance/Reactance Problems. Consider the circuit below. An AC sinusoidal voltage of amplitude V and frequency ω is applied to the three capacitors, each of the same capacitance C. What is the total reactance
More informationElectromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance
Lesson 7 Electromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance Oscillations in an LC Circuit The RLC Circuit Alternating Current Electromagnetic
More informationWaves & Oscillations
Physics 42200 Waves & Oscillations Lecture 25 Propagation of Light Spring 2013 Semester Matthew Jones Midterm Exam: Date: Wednesday, March 6 th Time: 8:00 10:00 pm Room: PHYS 203 Material: French, chapters
More informationChapter 29: Maxwell s Equation and EM Waves. Slide 29-1
Chapter 29: Maxwell s Equation and EM Waves Slide 29-1 Equations of electromagnetism: a review We ve now seen the four fundamental equations of electromagnetism, here listed together for the first time.
More informationLC circuit: Energy stored. This lecture reviews some but not all of the material that will be on the final exam that covers in Chapters
Disclaimer: Chapter 29 Alternating-Current Circuits (1) This lecture reviews some but not all of the material that will be on the final exam that covers in Chapters 29-33. LC circuit: Energy stored LC
More informationPhysics 208 Exam 3 Nov. 28, 2006
Name: Student ID: Section #: Physics 208 Exam 3 Nov. 28, 2006 Print your name and section clearly above. If you do not know your section number, write your TA s name. Your final answer must be placed in
More informationPhysics 313: Laboratory 8 - Polarization of Light Electric Fields
Physics 313: Laboratory 8 - Polarization of Light Electric Fields Introduction: The electric fields that compose light have a magnitude, phase, and direction. The oscillating phase of the field and the
More informationPolarization of Light and Birefringence of Materials
Polarization of Light and Birefringence of Materials Ajit Balagopal (Team Members Karunanand Ogirala, Hui Shen) ECE 614- PHOTONIC INFORMATION PROCESSING LABORATORY Abstract-- In this project, we study
More informationChapter 25. Electromagnetic Waves
Chapter 25 Electromagnetic Waves EXAM # 3 Nov. 20-21 Chapter 23 Chapter 25 Powerpoint Nov. 4 Problems from previous exams Physics in Perspective (pg. 836 837) Units of Chapter 25 The Production of Electromagnetic
More informationLecture 34: MON 13 APR Ch ,5
Physics 2102 Jonathan Dowling James Clerk Maxwell (1831-1879) Lecture 34: MON 13 APR Ch.33.1 3,5 3,5 7: E&M Waves MT03 Avg: 65/100 Q1/P3 K. Schafer Office hours: MW 1:30-2:30 pm 222B Nicholson P1/Q2 J.
More informationPhysics 2135 Exam 3 April 18, 2017
Physics 2135 Exam 3 April 18, 2017 Exam Total / 200 Printed Name: Rec. Sec. Letter: Solutions for problems 6 to 10 must start from official starting equations. Show your work to receive credit for your
More informationPhysics 42 Exam 3 Spring 2016 Name: M T W
Physics 42 Exam 3 Spring 2016 Name: M T W Conceptual Questions & Shorty (2 points each) 1. Which magnetic field causes the observed force? 2. If released from rest, the current loop will move a. upward
More information: Imaging Systems Laboratory II. Laboratory 6: The Polarization of Light April 16 & 18, 2002
151-232: Imaging Systems Laboratory II Laboratory 6: The Polarization of Light April 16 & 18, 22 Abstract. In this lab, we will investigate linear and circular polarization of light. Linearly polarized
More informationExam 3 Solutions. Answer: 1830 Solution: Because of equal and opposite electrical forces, we have conservation of momentum, m e
Exam 3 Solutions Prof. Paul Avery Prof. Zongan iu Apr. 27, 2013 1. An electron and a proton, located far apart and initially at rest, accelerate toward each other in a location undisturbed by any other
More informationPhysics 2135 Exam 3 November 18, 2014
Exam Total / 200 hysics 2135 Exam 3 November 18, 2014 rinted Name: ec. Sec. Letter: Five multiple choice questions, 8 points each. Choose the best or most nearly correct answer. 1. Two long straight wires
More informationEnergy Carried by Electromagnetic Waves. Momentum and Radiation Pressure of an Electromagnetic Wave.
Today s agenda: Electromagnetic Waves. Energy Carried by Electromagnetic Waves. Momentum and Radiation Pressure of an Electromagnetic Wave. Maxwell s Equations Recall: EdA Eds q enclosed o d dt B Bds=μ
More informationPOLARISATION. We have not really discussed the direction of the Electric field other that that it is perpendicular to the direction of motion.
POLARISATION Light is a transverse electromagnetic wave. We have not really discussed the direction of the Electric field other that that it is perpendicular to the direction of motion. If the E field
More informationPolarization. Polarization. Physics Waves & Oscillations 4/3/2016. Spring 2016 Semester Matthew Jones. Two problems to be considered today:
4/3/26 Physics 422 Waves & Oscillations Lecture 34 Polarization of Light Spring 26 Semester Matthew Jones Polarization (,)= cos (,)= cos + Unpolarizedlight: Random,, Linear polarization: =,± Circular polarization:
More informationExam 3 Solutions. The induced EMF (magnitude) is given by Faraday s Law d dt dt The current is given by
PHY049 Spring 008 Prof. Darin Acosta Prof. Selman Hershfield April 9, 008. A metal rod is forced to move with constant velocity of 60 cm/s [or 90 cm/s] along two parallel metal rails, which are connected
More informationLab 8: L-6, Polarization Lab Worksheet
Lab 8: L-6, Polarization Lab Worksheet Name This sheet is the lab document your TA will use to score your lab. It is to be turned in at the end of lab. To receive full credit you must use complete sentences
More informationChapter 31 Maxwell s Equations and Electromagnetic Waves. Copyright 2009 Pearson Education, Inc.
Chapter 31 Maxwell s Equations and Electromagnetic Waves Units of Chapter 31 Changing Electric Fields Produce Magnetic Fields; Ampère s Law and Displacement Current Gauss s Law for Magnetism Maxwell s
More informationPoynting Theory & Wave Polarization
Poynting Theory & Wave Polarization Prepared By Dr. Eng. Sherif Hekal Assistant Professor Electronics and Communications Engineering 10/31/2017 1 Agenda Poynting Theory o Poynting Vector o Time average
More informationElectricity & Magnetism Study Questions for the Spring 2018 Department Exam December 4, 2017
Electricity & Magnetism Study Questions for the Spring 2018 Department Exam December 4, 2017 1. a. Find the capacitance of a spherical capacitor with inner radius l i and outer radius l 0 filled with dielectric
More informationPHYS 270 SUPPL. #9 DENNIS PAPADOPOULOS FEBRUARY 24, 2011
PHYS 270 SUPPL. #9 DENNIS PAPADOPOULOS FEBRUARY 24, 2011 R If it is completely absorbed P R =I/c 1 5 solve 5.1 F = ma P R = I /c F R = P R A = IA /c = ma (I /c)a = ma A = mac /I = (3x108 m /s)x(10 8
More informationPhysics 294H. lectures will be posted frequently, mostly! every day if I can remember to do so
Physics 294H l Professor: Joey Huston l email:huston@msu.edu l office: BPS3230 l Homework will be with Mastering Physics (and an average of 1 hand-written problem per week) Help-room hours: 12:40-2:40
More informationElectromagnetic Waves
Nicholas J. Giordano www.cengage.com/physics/giordano Chapter 23 Electromagnetic Waves Marilyn Akins, PhD Broome Community College Electromagnetic Theory Theoretical understanding of electricity and magnetism
More informationUNIT 102-6: ELECTROMAGNETIC WAVES AND POLARIZATION Approximate Time Three 100-minute Sessions
Name St.No. - Date(YY/MM/DD) / / Section UNIT 102-6: ELECTROMAGNETIC WAVES AND POLARIZATION Approximate Time Three 100-minute Sessions Hey diddle diddle, what kind of riddle Is this nature of light? Sometimes
More informationChapter 31 Maxwell s Equations and Electromagnetic Waves. Copyright 2009 Pearson Education, Inc.
Chapter 31 Maxwell s Equations and Electromagnetic Waves Units of Chapter 31 Changing Electric Fields Produce Magnetic Fields; Ampère s Law and Displacement Current Gauss s Law for Magnetism Maxwell s
More information1. In Young s double slit experiment, when the illumination is white light, the higherorder fringes are in color.
TRUE-FALSE STATEMENTS: ELECTRICITY: 1. Electric field lines originate on negative charges. 2. The flux of the electric field over a closed surface is proportional to the net charge enclosed by the surface.
More informationLight as a Transverse Wave.
Waves and Superposition (Keating Chapter 21) The ray model for light (i.e. light travels in straight lines) can be used to explain a lot of phenomena (like basic object and image formation and even aberrations)
More informationCHAPTER 32: ELECTROMAGNETIC WAVES
CHAPTER 32: ELECTROMAGNETIC WAVES For those of you who are interested, below are the differential, or point, form of the four Maxwell s equations we studied this semester. The version of Maxwell s equations
More informationExperiment 5 Polarization and Modulation of Light
1. Objective Experiment 5 Polarization and Modulation of Light Understanding the definition of polarized and un-polarized light. Understanding polarizer and analzer definition, Maluse s law. Retarding
More informationExam 3: Tuesday, April 18, 5:00-6:00 PM
Exam 3: Tuesday, April 18, 5:-6: PM Test rooms: Instructor Sections Room Dr. Hale F, H 14 Physics Dr. Kurter, N 15 CH Dr. Madison K, M 199 Toomey Dr. Parris J, L -1 ertelsmeyer Mr. Upshaw A, C, E, G G-3
More informationChapter 33: ELECTROMAGNETIC WAVES 559
Chapter 33: ELECTROMAGNETIC WAVES 1 Select the correct statement: A ultraviolet light has a longer wavelength than infrared B blue light has a higher frequency than x rays C radio waves have higher frequency
More informationYOUR NAME Sample Final Physics 1404 (Dr. Huang)), Correct answers are underlined.
YOUR NAME Sample Final Physics 1404 (Dr. Huang)), Correct answers are underlined. Useful constants: e=1.6 10-19 C, m e =9.1 10-31 kg, m p =1.67 10-27 kg, ε 0 =8.85 10-12 C 2 /N m 2, c=3 10 8 m/s k e =8.99
More informationLecture Outline. Scattering at an Interface Sunrises & Sunsets Rainbows Polarized Sunglasses 8/9/2018. EE 4347 Applied Electromagnetics.
Course Instructor Dr. Raymond C. Rumpf Office: A 337 Phone: (915) 747 6958 E Mail: rcrumpf@utep.edu EE 4347 Applied Electromagnetics Topic 3i Scattering at an Interface: Examples Examples These notes may
More informationA 2. The potential difference across the capacitor is F m N m /C m. R R m m R m R m 0
30.53. Model: The charged metal spheres are isolated and far from each other and anything else. Solve: (a) The charge on a sphere of radius r, charged to a potential V 0 is given by the equations: The
More informationa) What is the diameter of the wire? Assume that the last minima occurs at the right edge where the wire is placed. Problem 1 Problem Weight is: 1
1 Notes: 1. To submit a problem, just click the Submit button under it. The Submit All button is not necessary. 2. A problem accepted as correct by CAPA will be highlighted in green. Once you see this,
More informationPhysics for Scientists & Engineers 2
Review Physics for Scientists & Engineers 2 Spring Semester 2005 Lecture 34! The speed of an electromagnetic wave can be expressed in terms of two fundamental constants related to electric fields and magnetic
More informationLecture 13.2 :! Inductors
Lecture 13.2 :! Inductors Lecture Outline:! Induced Fields! Inductors! LC Circuits! LR Circuits!! Textbook Reading:! Ch. 33.6-33.10 April 9, 2015 1 Announcements! HW #10 due on Tuesday, April 14, at 9am.!
More informationChiroptical Spectroscopy
Chiroptical Spectroscopy Theory and Applications in Organic Chemistry Lecture 2: Polarized light Masters Level Class (181 041) Mondays, 8.15-9.45 am, NC 02/99 Wednesdays, 10.15-11.45 am, NC 02/99 28 Electromagnetic
More informationOptics Polarization. Lana Sheridan. June 20, De Anza College
Optics Polarization Lana Sheridan De Anza College June 20, 2018 Last time interference from thin films Newton s rings Overview the interferometer and gravitational waves polarization birefringence 7 Michelson
More information(Total 1 mark) IB Questionbank Physics 1
1. A transverse wave travels from left to right. The diagram below shows how, at a particular instant of time, the displacement of particles in the medium varies with position. Which arrow represents the
More informationReview: Basic Concepts
Review: Basic Concepts Simula5ons 1. Radio Waves h;p://phet.colorado.edu/en/simula5on/radio- waves 2. Propaga5on of EM Waves h;p://www.phys.hawaii.edu/~teb/java/ntnujava/emwave/emwave.html 3. 2D EM Waves
More informationSunlight. Sunlight 2. Sunlight 4. Sunlight 3. Sunlight 5. Sunlight 6
Sunlight 1 Sunlight 2 Introductory Question Sunlight When you look up at the sky during the day, is the light from distant stars reaching your eyes? A. Yes B. No Sunlight 3 Observations about Sunlight
More informationREFLECTION AND REFRACTION
S-108-2110 OPTICS 1/6 REFLECTION AND REFRACTION Student Labwork S-108-2110 OPTICS 2/6 Table of contents 1. Theory...3 2. Performing the measurements...4 2.1. Total internal reflection...4 2.2. Brewster
More informationAC Circuits and Electromagnetic Waves
AC Circuits and Electromagnetic Waves Physics 102 Lecture 5 7 March 2002 MIDTERM Wednesday, March 13, 7:30-9:00 pm, this room Material: through next week AC circuits Next week: no lecture, no labs, no
More informationλ Fig. 2 Name: y direction. In what c) in the + y direction d) in the y direction e) in the x direction
Name: Exam #3 D#: Physics 140 Section #: hoose the best answer for each of Questions 1-19 below. Mark your answer on your scantron form using a # pencil. (5.6 pts each) 1. At a certain instant in time,
More informationPHYS 1444 Section 003 Lecture #23
PHYS 1444 Section 3 Lecture #3 Monday, Nov. 8, 5 EM Waves from Maxwell s Equations Speed of EM Waves Light as EM Wave Electromagnetic Spectrum Energy in EM Waves Energy Transport The epilogue Today s homework
More informationPhysics 102: Lecture 16 Introduction to Mirrors
Physics 102: Lecture 16 Introduction to Mirrors Physics 102: Lecture 16, Slide 1 Physics 102 recent lectures Light as a wave Lecture 14 EM waves Lecture 15 Polarization Lecture 20 & 21 Interference & diffraction
More information2) A linear charge distribution extends along the x axis from 0 to A (where A > 0). In that region, the charge density λ is given by λ = cx where c
2) A linear charge distribution extends along the x axis from 0 to A (where A > 0). In that region, the charge density λ is given by λ = cx where c is a constant. a) Find the electric potential valid for
More informationLECTURE 23: LIGHT. Propagation of Light Huygen s Principle
LECTURE 23: LIGHT Propagation of Light Reflection & Refraction Internal Reflection Propagation of Light Huygen s Principle Each point on a primary wavefront serves as the source of spherical secondary
More informationChap. 5. Jones Calculus and Its Application to Birefringent Optical Systems
Chap. 5. Jones Calculus and Its Application to Birefringent Optical Systems - The overall optical transmission through many optical components such as polarizers, EO modulators, filters, retardation plates.
More informationSolution Set 1 Phys 4510 Optics Fall 2013
Solution Set Phys 450 Optics Fall 203 Due date: Tu, September 7, in class Reading: Fowles 2.2-2.4, 2.6-2.7. Derive the formulas: and (see Fowles problem.6) v g = v φ λ dv φ dλ = λ 0 dn (2) v g v φ c dλ
More informationInduction_P1. 1. [1 mark]
Induction_P1 1. [1 mark] Two identical circular coils are placed one below the other so that their planes are both horizontal. The top coil is connected to a cell and a switch. The switch is closed and
More informationLight. November 101 Lect 11 1
Light What is light? To start, what are the observed properties of light? Describe the intrinsic properties of light light by itself. Later, what are the interactions of light? What happens when light
More informationA beam of coherent monochromatic light from a distant galaxy is used in an optics experiment on Earth.
Waves_P2 [152 marks] A beam of coherent monochromatic light from a distant galaxy is used in an optics experiment on Earth. The beam is incident normally on a double slit. The distance between the slits
More informationWorked Examples Set 2
Worked Examples Set 2 Q.1. Application of Maxwell s eqns. [Griffiths Problem 7.42] In a perfect conductor the conductivity σ is infinite, so from Ohm s law J = σe, E = 0. Any net charge must be on the
More informationElectromagnetic fields and waves
Electromagnetic fields and waves Maxwell s rainbow Outline Maxwell s equations Plane waves Pulses and group velocity Polarization of light Transmission and reflection at an interface Macroscopic Maxwell
More information1 cm b. 4.4 mm c. 2.2 cm d. 4.4 cm v
PHY 112: General Physics M. F. Thorpe T, Th 7:40-8:55am Fall 2006 Department of Physics Arizona State University Tempe AZ Final, Friday 8 December from 7:40am -> 9.30am All questions carry equal weight.
More informationWave Phenomena Physics 15c
Wave Phenomena Physics 15c Lecture 15 lectromagnetic Waves (H&L Sections 9.5 7) What We Did Last Time! Studied spherical waves! Wave equation of isotropic waves! Solution e! Intensity decreases with! Doppler
More informationElectromagnetic Waves Properties. The electric and the magnetic field, associated with an electromagnetic wave, propagating along the z=axis. Can be represented by E = E kˆ, = iˆ E = E ˆj, = ˆj b) E =
More information( ) + ( +kq 2 / L) + 2 ( kq2 / 2L) + ( +kq2 / 3L) =
Exam 3 Solutions Prof. Paul Avery Prof. Pradeep Kumar Apr. 6, 014 1. Four charges are placed along a straight line each separated by a distance L from its neighbor. The order of the charges is +Q, Q, Q,
More informationPHYS 102 Exams. PHYS 102 Exam 3 PRINT (A)
PHYS 102 Exams PHYS 102 Exam 3 PRINT (A) The next two questions pertain to the situation described below. A metal ring, in the page, is in a region of uniform magnetic field pointing out of the page as
More informationMaxwell s equations. Kyoto. James Clerk Maxwell. Physics 122. James Clerk Maxwell ( ) Unification of electrical and magnetic interactions
Maxwell s equations Physics /5/ Lecture XXIV Kyoto /5/ Lecture XXIV James Clerk Maxwell James Clerk Maxwell (83 879) Unification of electrical and magnetic interactions /5/ Lecture XXIV 3 Φ = da = Q ε
More informationYell if you have any questions
Class 36: Outline Hour 1: Concept Review / Overview PRS Questions Possible Exam Questions Hour : Sample Exam Yell if you have any questions P36-1 Before Starting All of your grades should now be posted
More informationDr. Linlin Ge The University of New South Wales
GMAT 9600 Principles of Remote Sensing Week2 Electromagnetic Radiation: Definition & Physics Dr. Linlin Ge www.gmat.unsw.edu.au/linlinge Basic radiation quantities Outline Wave and quantum properties Polarization
More informationOPTICAL PROPERTIES OF THE COOKIT SOLAR COOKER
OPTICAL PROPERTIES OF THE COOKIT SOLAR COOKER Ed Pejack University of the Pacific 3601 Pacific Avenue Stockton, CA 95211 USA (email: epejack@pacific.edu) ABSTRACT The CooKit is a solar cooker of the panel-cooker
More informationYell if you have any questions
Class 36: Outline Hour 1: Concept Review / Overview PRS Questions Possible Exam Questions Hour : Sample Exam Yell if you have any questions P36-1 efore Starting All of your grades should now be posted
More information22-1 Maxwell s Equations
-1 Maxwell s Equations In the 19 th century, many scientists were making important contributions to our understanding of electricity, magnetism, and optics. For instance, the Danish scientist Hans Christian
More informationElectromagnetic Radiation. Physical Principles of Remote Sensing
Electromagnetic Radiation Physical Principles of Remote Sensing Outline for 4/3/2003 Properties of electromagnetic radiation The electromagnetic spectrum Spectral emissivity Radiant temperature vs. kinematic
More informationMaxwell s Equations & Hertz Waves
Maxwell s Equations & Hertz Waves XI. Maxwell & Electromagnetic Waves A. Maxwell s Equations Dr. Bill Pezzaglia B. Hertz Waves & Poynting C. Polarization Updated: 3Aug5 A. Maxwell s Equations 3. Hints
More informationE The oscillating E-field defines the polarization of the wave. B
This sheet is the lab document your TA will use to score your lab. It is to be turned in at the end of lab. To receive full credit you must use complete sentences and explain your reasoning. A. Describing
More information第 1 頁, 共 8 頁 Chap32&Chap33 1. Test Bank, Question 2 Gauss' law for magnetism tells us: the net charge in any given volume that the line integral of a magnetic around any closed loop must vanish the magnetic
More informationLecture 5: Polarization. Polarized Light in the Universe. Descriptions of Polarized Light. Polarizers. Retarders. Outline
Lecture 5: Polarization Outline 1 Polarized Light in the Universe 2 Descriptions of Polarized Light 3 Polarizers 4 Retarders Christoph U. Keller, Leiden University, keller@strw.leidenuniv.nl ATI 2016,
More information