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School: Lehigh
Physics 21 Fall, 2008 Solution to HW-2 21-1 Excess electrons are placed on a small lead sphere with a mass of m = 8.40 g so that its net charge is Q = 4.00 109 C. (a) Find the number of excess electrons on the sphere. (b)How many excess electrons
School: Lehigh
Course: Physics 21
Lecture-3 Chapter 22 Electric Fields Field: a spatial distribution of a physical quantity, e.g., the temperature field in Pennsylvania the magnetic field around the earth the electric field of a cell phone provider. 3/26/10 In principle, we can define the
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-15 28-39 A long, straight, cylindrical wire of radius R carries a current uniformly distributed over its cross section. At what location is the magnetic eld produced by this current equal to half of its largest
School: Lehigh
Course: Physics 1
CHAPTER 2 Motion in One Dimension 1* What is the approximate average velocity of the race cars during the Indianapolis 500? Since the cars go around a closed circuit and return nearly to the starting point, the displacement is nearly zero, and
School: Lehigh
Course: Physics 1
CHAPTER 19 Heat and the First Law of Thermodynamics 1* Body A has twice the mass and twice the specific heat of body B. If they are supplied with equal amounts of heat, CA = 4CB; TA = TB/4 how do the subsequent changes in their temperatures com
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-13 28-11 A long, straight wire lies along the z axis and carries a 4.10 A current in the +z direction. Find the magnetic eld (magnitude and direction) produced at the following points by a 0.400 mm segment of th
School: Lehigh
Course: INTRODUCTORY PHYSICS II
School: Lehigh
Course: INTRODUCTORY PHYSICS II
School: Lehigh
Course: Physics 21
Lecture-3 Chapter 22 Electric Fields Field: a spatial distribution of a physical quantity, e.g., the temperature field in Pennsylvania the magnetic field around the earth the electric field of a cell phone provider. 3/26/10 In principle, we can define the
School: Lehigh
Course: Introductory Physics II
Lecture-8 More on Capacitor Charging/Discharging Charging Kirchhoffs loop rule - VC I R = 0, or, dQ I= dt dQ Q R =0 C dt I Q = C (1 e t / RC ) Discharging I Kirchhoffs loop rule - I R + VC = 0, or, dQ I = dt dQ Q R + =0 dt C Q = Qo e t / RC 1 Energy Ba
School: Lehigh
Course: Physics 21
Lecture-3 Chapter 22 Electric Fields Field: a spatial distribution of a physical quantity, e.g., the temperature field in Pennsylvania the magnetic field around the earth the electric field of a cell phone provider. 3/26/10 In principle, we can define the
School: Lehigh
Course: Physics 21
Lecture 5 February 2, 2010 Electric Potential A metal ball and a concentric conducting metal shall each holds total charge +Q. What is the total charge on the outer surface of the metal shall? 1. 2. 3. 4. 5. 0 -Q -2Q Q +2Q 0% 1 0% 2 0% 3 0% 4 0% 5 xf U xi
School: Lehigh
Course: Physics 21
Chapter 27 Circuits February 11, 2010 i E + V E J Resistivity Unlike the electrostatic case, the electric field in the J E E R L A conductor of the figure is not zero. We define as E resistivity of the conductor the ratio J In vector form: E J V/m V SI un
School: Lehigh
Course: Physics 21
Hour Exam 1 Grade Histogram 30 25 20 15 10 5 0 36 40 44 48 52 56 60 64 68 72 76 80 84 88 92 96 100 Class average 75 i RC circuits : Charging of a capacitor Consider the circuit shown in the figure. We assume that the capacitor is initially uncharged and t
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 Fri 02/15/2013 Quiz 4 4.1 Loop and wire A loop and a wire are in the same plane, the wire is vertical with the current owing downwards. The loop is circular and is on the left-hand side of the wire. There are three possibilities fo
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 Quiz 2 Fri 02/01/2013 0 = 8.854187817 1012 C V1 m1 0 = 4 107 V s A1 m1 2.1 Circular surface A circular surface of radius r = 10 cm is in a region of space where there is a homogeneous magnetic eld with amplitude B = 0.1 T. The angl
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Bieggio PHY 21 Wed 01/25/2013 Quiz 1 1.1 Vectors Write the result of the following vector sum: 2 5 m 2 J. 6 w 2.3; (1)+5(1)t)+(~va)~ 1.2 Vector components A vector has a: and y components or 2 d and Uy : 3. respectively. What is its leng
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-2 21-1 Excess electrons are placed on a small lead sphere with a mass of m = 8.40 g so that its net charge is Q = 4.00 109 C. (a) Find the number of excess electrons on the sphere. (b)How many excess electrons
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-15 28-39 A long, straight, cylindrical wire of radius R carries a current uniformly distributed over its cross section. At what location is the magnetic eld produced by this current equal to half of its largest
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-9 26-34 In the circuit shown in the gure, the 6.0 resistor is consuming energy at a rate of 25.0 J/s when the current through it ows as shown. (a) Find the current through the ammeter A. (b) What are the polarity and e
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-14 Cancelling Magnetic Field Four very long, currentcarrying wires in the same plane intersect to form a square with side lengths of 39.0 cm, as shown in the gure. The currents running through the wires are 8.0 A, 20.0
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-10 27-24 A beam of protons traveling at 1.50 km/s enters a uniform magnetic eld, traveling perpendicular to the eld. The beam exits the magnetic eld, leaving the eld in a direction perpendicular to its original directi
School: Lehigh
Course: Introductory Physics 2
Dr. Kim-Shapiro Homework Solutions Ch 24 (1, 3, 11, 12, 13, 27, 34, 35, 37, 43, 45) Dr. Kim-Shapiro Homework Solutions Ch 24 (1, 3, 11, 12, 13, 27, 34, 35, 37, 43, 45) Dr. Kim-Shapiro Homework Solutions Ch 24 (1, 3, 11, 12, 13, 27, 34, 35, 37, 43, 45) Dr.
School: Lehigh
Course: MODERN OPTICS
Fall 2004 Modern Optics Goals of the course The course supplies an overview of a large variety of optical phenomena and principle and gives a comprehensive introduction into the background knowledge required to take part in the optical revolution.
School: Lehigh
Course: MODERN OPTICS
Fall 2004 Modern Optics Goals of the course The course supplies an overview of a large variety of optical phenomena and principle and gives a comprehensive introduction into the background knowledge required to take part in the optical revolution.
School: Lehigh
Course: MODERN OPTICS
Fall 2004 Modern Optics Goals of the course The course supplies an overview of a large variety of optical phenomena and principle and gives a comprehensive introduction into the background knowledge required to take part in the optical revolution.
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-2 21-1 Excess electrons are placed on a small lead sphere with a mass of m = 8.40 g so that its net charge is Q = 4.00 109 C. (a) Find the number of excess electrons on the sphere. (b)How many excess electrons
School: Lehigh
Course: Physics 21
Lecture-3 Chapter 22 Electric Fields Field: a spatial distribution of a physical quantity, e.g., the temperature field in Pennsylvania the magnetic field around the earth the electric field of a cell phone provider. 3/26/10 In principle, we can define the
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-15 28-39 A long, straight, cylindrical wire of radius R carries a current uniformly distributed over its cross section. At what location is the magnetic eld produced by this current equal to half of its largest
School: Lehigh
Course: Physics 1
CHAPTER 2 Motion in One Dimension 1* What is the approximate average velocity of the race cars during the Indianapolis 500? Since the cars go around a closed circuit and return nearly to the starting point, the displacement is nearly zero, and
School: Lehigh
Course: Physics 1
CHAPTER 19 Heat and the First Law of Thermodynamics 1* Body A has twice the mass and twice the specific heat of body B. If they are supplied with equal amounts of heat, CA = 4CB; TA = TB/4 how do the subsequent changes in their temperatures com
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-13 28-11 A long, straight wire lies along the z axis and carries a 4.10 A current in the +z direction. Find the magnetic eld (magnitude and direction) produced at the following points by a 0.400 mm segment of th
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-5 Potential near a Charged Sheet Let A = (x1 , y1 ) and B = x2 , y2 ) be two points near and on the same side of a charged sheet with surface charge density + . The electric eld E due to such a charged sheet has magnit
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-6 23-40 Two large, parallel conducting plates carrying opposite charges of equal magnitude are separated by d = 2.20 cm. (a) If the surface charge density for each plate has magnitude 47.0 nC/m2 , what is the magnitude
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-7 24-25 A 5.80 F, parallel-plate air capacitor has a plate separation of 5.00 mm and is charged to a potential dierence of 400 V. Calculate the energy density in the region between the plates, in units of J/m3 . The eq
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-9 26-24 In the circuit shown in the gure above, nd (a) the current in each branch and (b) the potential dierence Vab of point a relative to point b. 26-41 In the circuit shown in the gure both capacitors are initially
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-10 27-1 A particle with a charge of q = 1.10 108 C is moving with instantaneous velocity v = (5.00 3.70 ) m/s. i j (a,b,c) Find the x, y , and z components of the force exerted on this particle by a magnetic eld B = 1.
School: Lehigh
Physics 21 Fall, 2011 Solution to Practice Questions Some of these questions on optics have been adapted from questions on the Physics 21 nal given at the end of the spring semester of 2004. Try to work them using only the equation sheet and the notes on
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-12 27-35 A long wire carrying 4.50 A of current makes two 90 bends, as shown in the gure. The bent part of the wire passes through a uniform 0.248 T magnetic eld directed as shown in the gure and conned to a limited re
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-13 28-12 Two parallel wires are 5.00 cm apart and carry currents in opposite directions, as shown in the gure. Find the magnitude and direction of the magnetic eld at point P due to two 1.50-mm segments of wire that ar
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-14 Cancelling Magnetic Field Four very long, currentcarrying wires in the same plane intersect to form a square with side lengths of 39.0 cm, as shown in the gure. The currents running through the wires are 8.0 A, 20.0
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-15 28-30 (a) Calculate the magnetic eld at point P due to the current in the semicircular section of wire shown in the gure. Hint: Does the current in the long, straight section of the wire produce any eld at P ?) 28-3
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-4 MC22-2 A nonuniform electric eld is directed along the x axis at all points in space. This magnitude of the eld varies with x, but not with respect to y or z . The axis of a cylindrical surface, 0.80 m long and 0.20
School: Lehigh
Physics 21 Fall, 2009 Solution to HW-3 particles 1 and 2 is the sum of the two forces from particle 1 and particle 2: F1 on 0 + F2 on 0 = 1 4 0 q0 q2 q0 q 1 j 2 + d2 d1 2 Coulombs Law Tutorial This problem asks you to nd the Couloumb forces exerted by par
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-19 31-6 A capacitance C and an inductance L are operated at the same angular frequency. (a) At what angular frequency will they have the same reactance? (b) If L = 4.80 mH and C = 3.70F, what is the numerical va
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-9 26-41 In the circuit shown in the gure both capacitors are initially charged to 45.0 V. (a) How long after closing the switch S will the potential across each capacitor be reduced to 15.0 V? (b) What will be t
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-17 29-45 In the circuit shown in the gure, the capacitor has capacitance C = 20 F and is initially charged to 100 V with the polarity shown. The resistor R0 has resistance 10 . At time t = 0 the switch is closed
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-4 MC22-2 A nonuniform electric eld is directed along the x axis at all points in space. This magnitude of the eld varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-14 B of Finite Wire A steady current I is owing through a straight wire of nite length. (a) Find B1 , the magnetic eld generated by this wire at a point P located a distance x from the center of the wire. Assume
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-16 Faradays Law Consider a rectangular loop of wire with sides x and y placed in a region where a uniform magnetic eld B exists (see the diagram). The resistance of the loop is R. Initially, the eld is perpendic
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-3 Electric Field inside a conductor Answer several multiple choice questions about the charges in a conducting rod suspended in an electric eld E directed towards the right. (a) The (positively charged) nuclei e
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-11 27-35 A long wire carrying 4.50 A of current makes two 90 bends, as shown in the gure. The bent part of the wire passes through a uniform 0.248 T magnetic eld directed as shown in the gure and conned to a lim
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-6 Electric Fields and Equipotential Surfaces The dashed lines in the diagram represent cross sections of equipotential surfaces drawn in 1 volt increments. (a) What is the work WAB done by the electric force to
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-7 24-27 A capacitor with a capacitance of 460 F is charged to a voltage of 270 V. Then a wire is connected between the plates. How many joules of thermal energy are produced as the capacitor discharges if all of
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-5 Potential near a Charged Sheet Let A = (x1 , y1 ) and B = x2 , y2 ) be two points near and on the same side of a charged sheet with surface charge density +. The electric eld E due to such a charged sheet has
School: Lehigh
PHY 421, Spring 2009 Homework 4 1. A long, hollow cylindrical conductor of radius a is divided by two parts by a plane through the axis, and the parts are separated by a small interval. See the illustration below. If the two parts are kept at poten
School: Lehigh
Course: INTRODUCTORY PHYSICS II
School: Lehigh
Course: INTRODUCTORY PHYSICS II
School: Lehigh
Course: INTRODUCTORY PHYSICS II
a. v , - 41 mi 15:21:93: 3 V? a: Chapteandw Summary Electromagnetic Waves: _ : oMuwellsequationstellmthnspeedonEMwavesinavacuums: c=7' oInvacuum,E=cBande=c. . - .2 '- o Polarized light passes through a polariw wit oThePoyntingvectardesu'ibathera
School: Lehigh
Course: University Physics
7 :PCC\}QHQQ#737 7 7 77 7;7_ 9&1t7add473ubwqd4 mplpl 7b Samar 77(7\[7C7@{o7v75) 7 7 7 7 7 ; ,7 7 7 7 .imdcqn7and77,7_7_m'iyj£ 7C0Mpe021§777 _7 7 7 7 ,7 7.31d7779ogbgbgsj9 nd8j437péngipi63777 77 77 7 77 7 7 7 7 K dueckhomewm 7 '
School: Lehigh
Course: University Physics
; -(R)9c)e 3 (\39 ,; 'J 0 ___ q/ Ae C5( LC _4L9{3 +¢> Ch3H {MEN is an mm. c wave 3% Li Wr pomx/{mHOh 1 MCIMGHOW 09% ak/[C 9410 Opw 10A Vie/HQ W 323% Pom owgmwkdimon 0C W gawk. Rem We W 33 Hum imam mama Qewl Moer mm EMIWQ. W W1 jammy 90mm 1 C , 7r
School: Lehigh
Course: Introductory Physics II
Lecture-7 Electric current and Ohms Law Electrical Circuits An electrical circuit is a closed-loop assembly of sources of charge, conductors, resistors, capacitors and other units of electrical elements to sustain electrical current. A source of charge
School: Lehigh
Course: Introductory Physics II
Lecture-5 Equipotential surfaces Electric potential for different charge distributions V= V= V= V= 1 4 o 1 4 o 1 4 o 1 4 o Q r : point charge r dr : line charge L r dA : surface charge S r d : space charge An electron volt (one eV): Energy needed to
School: Lehigh
Course: Introductory Physics II
Lecture-4 Gausss Law: r r Qenclosed E dA = o If charge distribution has symmetry, the flux integral r can be evaluated, even without knowing how E changes as function of position. Some pointers about charge distributions Line of charge: d q = dl (dl: l
School: Lehigh
Course: Physics 21
Lecture 6 February 4, 2010 Capacitors Consider a spherical conductor of radius R with charge Q. Where is the potential equal to zero? 1. At the center of the sphere 2. On the surface of the sphere 3. Depends on the size of Q 4. At infinity 5. We are free
School: Lehigh
Course: Physics 21
Lecture 7 February 9, 2010 Current and Resistance C Cair Capacitor with a dielectric q -q q' V -q ' V In 1837 Michael Faraday investigated what happens to the capacitance C of a capacitor when the gap between the plates is completely filled with an insula
School: Lehigh
Course: Physics 21
Magnetic force on a current carrying wire. Consider a wire of length L which carries a current i as shown in the figure. A uniform magnetic field B is present in the vicinity FB of the wire. Experimentaly it was found that a force FB is exerted by B on th
School: Lehigh
Course: Physics 21
Lecture 14 March 4, 2010 Chapter 30 Induction and Inductance II Outline - Faradays law of induction - Lenzs rule - Electric field induced by a changing magnetic field - Inductance and mutual inductance - RL circuits - Energy stored in a magnetic field (30
School: Lehigh
Course: Physics 21
Lecture 17 Chapter 31 Electromagnetic Oscillations and Alternating Current (31 - 1) Outline of topics: -Electromagnetic oscillations in an LC circuit -Alternating current (AC) circuits with capacitors -Resonance in RCL circuits -Power in AC-circuits -Tran
School: Lehigh
Course: Physics 21
Lecture-3 Chapter 22 Electric Fields Field: a spatial distribution of a physical quantity, e.g., the temperature field in Pennsylvania the magnetic field around the earth the electric field of a cell phone provider. 3/26/10 In principle, we can define the
School: Lehigh
Course: Introductory Physics II
Lecture-8 More on Capacitor Charging/Discharging Charging Kirchhoffs loop rule - VC I R = 0, or, dQ I= dt dQ Q R =0 C dt I Q = C (1 e t / RC ) Discharging I Kirchhoffs loop rule - I R + VC = 0, or, dQ I = dt dQ Q R + =0 dt C Q = Qo e t / RC 1 Energy Ba
School: Lehigh
Course: Physics 21
Lecture-3 Chapter 22 Electric Fields Field: a spatial distribution of a physical quantity, e.g., the temperature field in Pennsylvania the magnetic field around the earth the electric field of a cell phone provider. 3/26/10 In principle, we can define the
School: Lehigh
Course: Physics 21
Lecture 5 February 2, 2010 Electric Potential A metal ball and a concentric conducting metal shall each holds total charge +Q. What is the total charge on the outer surface of the metal shall? 1. 2. 3. 4. 5. 0 -Q -2Q Q +2Q 0% 1 0% 2 0% 3 0% 4 0% 5 xf U xi
School: Lehigh
Course: Physics 21
Chapter 27 Circuits February 11, 2010 i E + V E J Resistivity Unlike the electrostatic case, the electric field in the J E E R L A conductor of the figure is not zero. We define as E resistivity of the conductor the ratio J In vector form: E J V/m V SI un
School: Lehigh
Course: Physics 21
Hour Exam 1 Grade Histogram 30 25 20 15 10 5 0 36 40 44 48 52 56 60 64 68 72 76 80 84 88 92 96 100 Class average 75 i RC circuits : Charging of a capacitor Consider the circuit shown in the figure. We assume that the capacitor is initially uncharged and t
School: Lehigh
Course: Physics 21
Lecture 13 March 2, 2010 Chapter 30 Induction and Inductance Outline - Faradays law of induction Lenzs rule Electric field induced by a changing magnetic field Inductance and mutual inductance RL circuits Energy stored in a magnetic field (30 1) Michael F
School: Lehigh
Course: Physics 21
Lecture-15 Mutual Inductance AC current I1 in N1-turn coil produces B1, which is intercepted by N2-turn coil as magnetic flux: N B1 o 1 I1 z l (N1) (N2) z l N 2 ( B1 A) N 2 o 1 N 2 A I1 l Induced emf is generated in coil 2 as: d 2 N1 dI1 2 o N2 A dt l d
School: Lehigh
Course: Physics 21
Lecture-16 Oscillation in LC circuit without resistor We have Electric energy in Capacitor: Magnetic energy in Inductor: q2 UE 2C 1 U B Li 2 2 In absence of any resistor in circuit, charge (q) initially stored in C drives current (i) in circuit and, late
School: Lehigh
Course: Physics 21
(31 - 20) i I sin t 1 XC C A B Z R2 X L X C tan 2 O X L XC R X L L From triangle OAB we have: tan VL VC IX L IX C X L X C VR IR R We distinguish the following three cases depending on the relative values of X L and X L . 1. X L X C 0 The current phasor
School: Lehigh
Course: Physics 21
Lecture-2 Wimshurst Machine Charges can be accumulated, for example, by: 3/26/10 Van der Graaf Generator 3/26/10 Properties of electrons The charge of an electron is e = 1.9 x 10-19 Coulomb The mass of an electron is me = 9.11 x 1031 kg 3/26/10 Charge con
School: Lehigh
Course: MODERN OPTICS
Matrix formulation of geometric optics We consider only beams close to the optical axis of our system all angular displacements are small sin! ! tan! ! ! all beams can be characterized by a vector !1 optical axis Lecture 14 10. Analytical ray tra
School: Lehigh
Course: MODERN OPTICS
Fourier Optics Fourier optics methods can be visualized by considering the Fraunhofer diffraction pattern of a single slit. The diffraction process transforms the slit in the object plane to a diffraction pattern in the distant image plane. This diff
School: Lehigh
Course: MODERN OPTICS
Complex refractive index Lecture 7 7. Propagation of light and interaction with matter 7.1.Interaction of light with matter 7.2.Scattering 7.3.Huygens principle 7.4.Reflection and Refraction 7.5.Illustration using Huygens principle 7.6.Fermat Princi
School: Lehigh
Course: MODERN OPTICS
9.3. Magnification Definition of magnification for optical systems Lecture 13 9. Optical Systems 9.3 Magnification 9.4 Magnifier Glass and other eyepieces 9.5. Microscope 9.6. Telescope In the optical system we are discussing in the following we
School: Lehigh
Course: MODERN OPTICS
4. Electromagnetic fields Maxwell equations: Lecture 3 4. Electromagnetic Fields 5. Basic idea of Quantum Electrodynamics (Differential form): r r "#D= $ r "#B =0 r &B "% E+ =0 &t r &D "%H =J + &t r r D =" E dielectric constant r r B = H permeab
School: Lehigh
Course: MODERN OPTICS
Fresnel Diffraction Lecture 25 Near field We can no longer consider only plane wave fronts The curvature of the wave front depends on how far away the point source is from the obstruction object Fresnel-Kirchhoff Diffraction Integral Correct
School: Lehigh
Course: MODERN OPTICS
7. Propagation of light and interaction with matter Lecture 5 7.1.Interaction of light with matter 7.2.Scattering 7.3.Huygens principle 7.4.Reflection and Refraction 7.5.Illustration using Huygens principle 7.6.Fermat Principle 7.7. Electromagnetic A
School: Lehigh
Course: MODERN OPTICS
Let's go back to the reflection and refraction problem The evanescent wave Without a transmitted wave we have problem The boundary condition cannot be fulfilled Lecture 9 7.7 TIR cont. 7.8 Metals 8 Geometric Optics We need a transmitted wave w
School: Lehigh
Course: MODERN OPTICS
9.1 The Human eye Lecture 12 9.1. The human eye Unaided Eyeglasses Color perception Seeing is probably the sense we have Even from the engineering point of view the eye is an amazing instrument Parts of the human eye Imaging of the human eye The
School: Lehigh
Course: MODERN OPTICS
Matrix formulation of geometric optics We consider only beams close to the optical axis of our system all angular displacements are small sin! ! tan! ! ! all beams can be characterized by a vector !1 optical axis Lecture 14 10. Analytical ray tra
School: Lehigh
Course: MODERN OPTICS
Complex refractive index Lecture 7 7. Propagation of light and interaction with matter 7.1.Interaction of light with matter 7.2.Scattering 7.3.Huygens principle 7.4.Reflection and Refraction 7.5.Illustration using Huygens principle 7.6.Fermat Princi
School: Lehigh
Course: MODERN OPTICS
Aberrations Monochromatic Lecture 11 Spherical Aberration Coma Astigmatism Field curvature Distortion Chromatic Spherical Aberration Remember: Coma: principle planes are not planes Field curvature: focus plane is curved Astigmatism
School: Lehigh
Course: MODERN OPTICS
6. Creation and detection of light 6.1 Creation Lecture 4 6. Creation and Detection of Light 7. Propagation of light and interaction of light with matter Linearly accelerated charges: Acceleration leads to bend electric field lines At a given poi
School: Lehigh
Course: MODERN OPTICS
We are at the point of no return Addition (same frequency) Complex Lecture 16 Complex amplitude 11. Superposition of waves Vector in the complex plane Addition (same frequency) Phasor Example The whole phasor is rotating in time Addition (s
School: Lehigh
Course: MODERN OPTICS
Newtonian form Lecture 10 8. Geometric Optics yo focal point so xo f f si xi focal point yi Imagery Real image: The rays intersect in a real space. You can put a piece of paper there Virtual image: The rays diverge. But if we look into the rays it
School: Lehigh
Course: MODERN OPTICS
Manipulation of polarized light Jones and Mueller Matrices Lecture 18 Both representations (Jones and Stokes) are vectors which can be transformed using Matrices Jones Jones Stokes Mueller Manipulation of polarization Example: Example: Example:
School: Lehigh
Course: MODERN OPTICS
Physical origin of the electro-optical effect The applied electric field changes the band structure of the material and thereby the absorption of the sample is changed Lecture 19 Franz Keldish Effect Kramers-Kronig Electro-optic Acousto-optic Ch
School: Lehigh
Course: MODERN OPTICS
2.1.History Lecture 2 2. The nature of light 2.1. History 2.2. The dualism particle and wave: QED 2.3. Decisive experiments Hecht: Chapter 1 and additional reading referenced in the lecture notes A nice chronological overview of the history of op
School: Lehigh
Course: MODERN OPTICS
Fourier Optics Fourier optics methods can be visualized by considering the Fraunhofer diffraction pattern of a single slit. The diffraction process transforms the slit in the object plane to a diffraction pattern in the distant image plane. This diff
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 Fri 02/15/2013 Quiz 4 4.1 Loop and wire A loop and a wire are in the same plane, the wire is vertical with the current owing downwards. The loop is circular and is on the left-hand side of the wire. There are three possibilities fo
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 Quiz 2 Fri 02/01/2013 0 = 8.854187817 1012 C V1 m1 0 = 4 107 V s A1 m1 2.1 Circular surface A circular surface of radius r = 10 cm is in a region of space where there is a homogeneous magnetic eld with amplitude B = 0.1 T. The angl
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Bieggio PHY 21 Wed 01/25/2013 Quiz 1 1.1 Vectors Write the result of the following vector sum: 2 5 m 2 J. 6 w 2.3; (1)+5(1)t)+(~va)~ 1.2 Vector components A vector has a: and y components or 2 d and Uy : 3. respectively. What is its leng
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 Fri 03/22/2013 Quiz 7 7.1 A small circuit S I (a) C R (b) In the circuit above, the switch S is initially closed, and it has been closed for a long time. In this situation, a current I is owing as indicated in the drawing. 1. What
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 Fri 04/19/2013 Quiz 10 OE 1 A B 2 The sketch above shows a ray diagram for an imaging system (the rays are the solid lines, the dashed lines are there to help draw the solid lines, an optical element is shown as a vertical line). T
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 Fri 03/08/2013 Quiz 6 6.1 A Loop and a Field A square loop of wire is moving with respect to an homogenous magnetic eld coming out of the page, as shown in the gure. B v a In the reference frame where the magnet is at rest (i.e. fr
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 Fri 03/29/2013 Quiz 8 8.1 Current vs. voltage A sinusoidal voltage with amplitude V0 = 15 V is applied to a resistor with R = 3 and a capacitor with C = 1 F connected in series, as seen in the gure. 1 (Hint: XC = C , XR = R, XL = L
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Physics 21 Fall, 2012 Information about Final Final Exam: The final exam will be Thursday, December 13, 2012 from 7:1010:10 pm. Almost everyone will be in PA 101; extra time students will be in LL221 and will start 90 minutes early, at 5:40 pm. The exam w
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Physics 21 Fall, 2012 If you want to discuss the grading, you must speak with the grader by Dec. 7. 1: Esmaeelpour 2: Hickman 3: Glueckstein 4 & 5: McMillen Problem 1. The current i(t) in the long, straight wire shown in the figure is upward and is increa
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Physics 21 Fall, 2012 1 2 3 4 5 Total Name: Recitation Time Recitation Leader Hour Exam #2 November 6, 2012 This exam is closed notes and closed book. You must show enough work on each problem to convince the grader you understand how to solve the problem
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Physics 21 Fall, 2011 1 2 3 4 5 Total Name: Recitation Time Recitation Leader Hour Exam #2 November 9, 2011 This exam is closed notes and closed book. You must show enough work on each problem to convince the grader you understand how to solve the problem
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Physics 21 Fall, 2012 The graders for the problems were: 1 McMillen, 2 Hickman, 3 Hernandez, 4 Glueckstein, 5 Esmaeelpour For questions about the grading, see the grader by Oct. 26. Solution to Hour Exam #1 Problem 1. Consider the following circuit: a 28
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Physics 21 Fall, 2011 The graders for the problems were: 1 Tupa, 2 Faust, 3 Beels, 4 Malenda, 5 Glueckstein For questions about the grading, see the grader by Oct. 26. Solution to Hour Exam #1 Problem 1. Consider the following circuit: a 8V 7 loop 1 I2 I3
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Physics 21 Fall, 2012 1 2 3 4 5 Total Name: Recitation Time Recitation Leader Hour Exam #1 October 2, 2012 This exam is closed notes and closed book. You must show enough work on each problem to convince the grader you understand how to solve the problem.
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Physics 21 Fall, 2011 1 2 3 4 5 Total Name: Recitation Time Recitation Leader Hour Exam #1 October 5, 2011 This exam is closed notes and closed book. You must show enough work on each problem to convince the grader you understand how to solve the problem.
School: Lehigh
Physics 21 Fall, 2009 Solution to Hour Exam #2 If you want to discuss the grading, you must speak with the grader by Nov. 20. 1: Beels 2: Malenda 3: Belony 4 and 5: Drake Problem 1. For the following circuit this circuit that is approximately to scale. In
School: Lehigh
Physics 21 Fall, 2010 Solution to Hour Exam #1 The graders for the problems were: 1 Jones, 2 Faust, 3 Malenda, 4 and 5 Beels For questions about the grading, see the grader by Oct. 27. (b) (3 pts.) Determine the currents I1 , I2 , and I3 (including the co
School: Lehigh
Physics 21 Fall, 2010 Solution to Hour Exam #2 If you want to discuss the grading, you must speak with the grader by Dec. 8. 1: Beels 2: Jones 3: Faust 4: Beels 5: Glueckstein Problem 1. For the following circuit: (b) (3 pts.) Evaluate the peak value of t
School: Lehigh
Physics 21 Fall, 2011 Solution to Hour Exam #1 The graders for the problems were: 1 Tupa, 2 Faust, 3 Beels, 4 Malenda, 5 Glueckstein For questions about the grading, see the grader by Oct. 26. (b) (3 pts.) Determine the currents I1 , I2 , and I3 (includin
School: Lehigh
School: Lehigh
Physics 21 Fall, 2011 Information about Exam-1 First Hour Exam: There will be an exam Wednesday, Oct. 5, 2011 at 4:10 pm in CU248, PA416 and PA466; see the class web site for room assignments. Extra-time students will start in CU248, PA416 or PA466 and at
School: Lehigh
Physics 21 Fall, 2011 Information about Exam 2 Second Hour Exam: There will be an exam on Wednesday, November 9, 2011 at 4:10 pm. The exam will be closed book and closed notes. Any physical constants and integrals you need will be given on the exam. The e
School: Lehigh
Physics 21 Fall, 2011 Information about Final What is refraction? What is the index of refraction? What is disperson? Final Exam: The nal exam will be Thursday, December 15, 2011 from 7:1010:10 pm. Almost everyone will be in PA 101; extra time students
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-2 21-1 Excess electrons are placed on a small lead sphere with a mass of m = 8.40 g so that its net charge is Q = 4.00 109 C. (a) Find the number of excess electrons on the sphere. (b)How many excess electrons
School: Lehigh
Physics 21 Fall, 2008 Solution to HW-15 28-39 A long, straight, cylindrical wire of radius R carries a current uniformly distributed over its cross section. At what location is the magnetic eld produced by this current equal to half of its largest
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-9 26-34 In the circuit shown in the gure, the 6.0 resistor is consuming energy at a rate of 25.0 J/s when the current through it ows as shown. (a) Find the current through the ammeter A. (b) What are the polarity and e
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-14 Cancelling Magnetic Field Four very long, currentcarrying wires in the same plane intersect to form a square with side lengths of 39.0 cm, as shown in the gure. The currents running through the wires are 8.0 A, 20.0
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-10 27-24 A beam of protons traveling at 1.50 km/s enters a uniform magnetic eld, traveling perpendicular to the eld. The beam exits the magnetic eld, leaving the eld in a direction perpendicular to its original directi
School: Lehigh
Course: Introductory Physics 2
Dr. Kim-Shapiro Homework Solutions Ch 24 (1, 3, 11, 12, 13, 27, 34, 35, 37, 43, 45) Dr. Kim-Shapiro Homework Solutions Ch 24 (1, 3, 11, 12, 13, 27, 34, 35, 37, 43, 45) Dr. Kim-Shapiro Homework Solutions Ch 24 (1, 3, 11, 12, 13, 27, 34, 35, 37, 43, 45) Dr.
School: Lehigh
Course: Introductory Physics 2
Dr. Kim-Shapiro Homework Solutions Chapter 23 (2, 8, 13, 20, 31, 49) Dr. Kim-Shapiro Homework Solutions Chapter 23 (2, 8, 13, 20, 31, 49) Dr. Kim-Shapiro Homework Solutions Chapter 23 (2, 8, 13, 20, 31, 49)
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-2 21-15 Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = 3.00 nC and is at x2 = 4.50 cm. Charge q1 is at x1 = 1.00 cm. What is q1 (magnitude and sign) if the net force
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-5 Rearranging this expression and solving for n: 40 (d/2)2 E e 40 (.185 m)2 (1185 N/C) = 2.82 1010 = e n= 22-17 How many excess electrons must be added to an isolated spherical conductor of diameter d = 37.0 cm to prod
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-4 21-102 Two very large horizontal sheets are 4.25 cm apart and carry equal but opposite uniform surface charge densities of magnitude . You want to use these sheets to hold stationary in the region between them an oil
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-7 Q = CV = (116 pF) (220 V) = 25.5 nC 24-14 A spherical capacitor is formed from two concentric, spherical, conducting shells separated by vacuum. The inner sphere has radius 15.0 cm and the capacitance is 116 pF. (a)
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-13 28-12 A long, straight wire, carrying a current of 200 A, runs through a cubical wooden box, entering and leaving through holes in the centers of opposite faces (see the gure below). The length of each side of the b
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-8 25-42 A battery-powered global positioning system (GPS) receiver operating on 9.5 V draws a current of 0.12 A. How much electrical energy does it consume during 1.5 h? The power (Joule/s) delivered to such device is
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-12 27-40 A straight, vertical wire carries a current of I = 1.19 A downward in a region between the poles of a large superconducting electromagnet, where the magnetic eld B has a magnitude of B = 0.591 T and is horizon
School: Lehigh
Course: Introductory Physics 2
Physics 21 Fall, 2014 Solution to HW-3 21-66 A charge 5.05 nC is placed at the origin of an xycoordinate system, and a charge 1.96 nC is placed on the positive x-axis at x = 4.05 cm. A third particle, of charge 5.97 nC is now placed at the point x = 4.05
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 due: Fri 3/8/2013 Wed 3/20/2013 Homework 8 8.1 Collision? A permanent magnet creates a homogenous magnetic eld 1-3 inside a rectangular region. The magnet is moving with a velocity U J. I? which has a magnitude much smaller
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Dr. Jon Glueckstein PHY 21 Study Hard Review Answers Review- 1 AC Circuits and Phasors This is a series RL AC circuit. The I phasor represents the current in the circuit, the V2 phasor represents the voltage at the resistor, the E0 phasor represents the v
School: Lehigh
Course: INTRODUCTORY PHYSICS II
and the speed is 2E-7 m/s, two thirds of the speed of light.
School: Lehigh
Course: INTRODUCTORY PHYSICS II
f7 Prof. I. Biaggio PHY 21 due: Fri 02/15/2013 Wed 02/20/2013 Homework 5 5.1 Loops A horizontal square loop of Wire with side length 30 cm carries a current of 3.0 A, and its sides are parallel to the a: and y axes. Another loop of wire is also hori
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Biaggio PHY 21 clue: Fri 01/05/2013 W'ed 04/10/2013 Homework 11 11.1 Low pass lter Find an expression for the peak output voltage Vow A function of the peak input voltage 1/1 in the following circuit (the input voltage is sinusoidally modulat
School: Lehigh
Course: INTRODUCTORY PHYSICS II
Prof. I. Bieggio = PHY 21 due: Fri 04/19/2013 7 Wed 04/24/2013 Homework 13 13.1 A lens and a mirror I11 the sketch below, the dots (one marked with F) are the focal points of the lens. An object is given. A mirror is positioned in the gure as shown
School: Lehigh
Course: INTRODUCTORY PHYSICS II
In problem 9.1 the voltage was kept constant by the battery. The battery did work by supplying current to the capacitor while the insulator was inserted. In problem 9.2, the charge on the capacitor's plates is constant, and it doesn't change when the insu
School: Lehigh
Course: Introductory Physics II
Physics 21 Fall, 2012 HW-14 22-31 An innitely long cylindrical conductor has radius R and uniform surface charge density . (a) In terms of R and , what is the charge per unit length for the cylinder? (b) In terms of , what is the magnitude of the electric
School: Lehigh
Course: MODERN OPTICS
Fall 2004 Modern Optics Goals of the course The course supplies an overview of a large variety of optical phenomena and principle and gives a comprehensive introduction into the background knowledge required to take part in the optical revolution.
School: Lehigh
Course: MODERN OPTICS
Fall 2004 Modern Optics Goals of the course The course supplies an overview of a large variety of optical phenomena and principle and gives a comprehensive introduction into the background knowledge required to take part in the optical revolution.
School: Lehigh
Course: MODERN OPTICS
Fall 2004 Modern Optics Goals of the course The course supplies an overview of a large variety of optical phenomena and principle and gives a comprehensive introduction into the background knowledge required to take part in the optical revolution.