| Physics 1304 Lecture Outline Fall 2003 | ||||||||||
| Week | Date | Lectures/Exams | Readings | Topics | ||||||
| 0 | Th | Introduction | None | Overview, Homework and Test Policies | ||||||
| 1 | Tu | Lecture
1: Coulomb's Law |
Ch 23.1-4 | ► | Electrostatic Phenomena (rubber rods & glass
rods) How to interpret the results? Coulomb's Law Torsion balance gives spatial dependence Superposition of Forces Force Comparison: Electrical vs Gravitational |
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| Th | Lecture 2: Electric Fields |
Ch 23.4-23.6, 24.1 | ► | Define Electric Field in terms of force on a "test charge" | ||||||
| ► | Lines of Force | |||||||||
| ► | Example Calculations: | |||||||||
| Discrete: Electric Dipole | ||||||||||
| Continuous: Infinite Line of Charge | ||||||||||
| 2 | Tu | Lecture 3: Gauss's Law |
Ch 24 | ► | Gauss' Law: Motivation & Definition | |||||
| Coulomb's Law as a consequence of Gauss' Law | ||||||||||
| Charges on Conductors | ||||||||||
| ► | Applications of Gauss' Law | |||||||||
| Infinite Line of Charge | ||||||||||
| Infinite Sheet of Charge | ||||||||||
| Two infinite sheets of charge | ||||||||||
| Shortcuts | ||||||||||
| Uniform Charged Sphere | ||||||||||
| Th | Lecture 4: Electric Potential |
Ch 25.1-4 | ► | Introduce Concept of Electric Potential | ||||||
| Is it well-defined? i.e. is Electric Potential a property of the space as is the Electric Field? | ||||||||||
| ► | Define Equipotentials | |||||||||
| Examples | ||||||||||
| Charged Spherical Shell | ||||||||||
| N point charges | ||||||||||
| Electric Dipole | ||||||||||
| ► | Can we determine the Electric Field if we know the Electric Potential? | |||||||||
| 3 | Tu | Lecture
5: Electric Potential |
Ch 25 | ► | Brief Review of Potential from last lecture | |||||
| Calculate E-Field of Dipole from Potential | ||||||||||
| Equipotentials and Conductors | ||||||||||
| Electric PE of a Charge in Ext Field | ||||||||||
| Th | Lecture 6: Capacitance |
Ch 26 | ► | Energy stored in the Electric Field | ||||||
| as distinguished from electric PE of a charge located in an electric field. | ||||||||||
| ► | Definition of Capacitance | |||||||||
| Example Calculations | ||||||||||
| Parallel Plate Capacitor | ||||||||||
| Cylindrical Capacitor | ||||||||||
| ► | Combinations of Capacitors | |||||||||
| Capacitors in Parallel | ||||||||||
| Capacitors in Series | ||||||||||
| 4 | Tu | Lecture 7: Capacitance |
Ch 26 | ► | Calculate Energy Stored in Capacitor | |||||
| Calculate Energy Density in Electric Field | ||||||||||
| Define Dielectric Constant | ||||||||||
| Modify Gauss’ Law to include Dielectrics | ||||||||||
| Th | Test 1 | Ch 23-26 | ► | Basic Laws | ||||||
| Coulomb's Law or Gauss' Law | ||||||||||
| Law of Superposition | ||||||||||
| ► | Basic Definitions | |||||||||
| Electric Field, Potential Function, Electric Potential Energy, Field Lines, Equipotentials | ||||||||||
| Potential Energy, Field Lines, Equipotentials | ||||||||||
| Conductors, Capacitance, Dielectric constant | ||||||||||
| ► | Important Derivations | |||||||||
| E = -gradV, Capacitors: parallel, series, energy | ||||||||||
| ► | Examples | |||||||||
| 5 | Tu | Lecture 8: Simple Circuits |
Ch 27,28.1-4 | ► | Devices | |||||
| Capacitors | ||||||||||
| Batteries | ||||||||||
| Resistors | ||||||||||
| ► | Resistors in Series & Parallel | |||||||||
| Kirchoff's Rules | ||||||||||
| Loop Rule (V is independent of path) | ||||||||||
| Junction Rule (Charge is conserved) | ||||||||||
| Th | Lecture 9: RC Circuits |
Ch 27.4,28.2,28.6 | ► | Power & (non-ideal) Batteries (from last time) | ||||||
| Charging of capacitor through a Resistor | ||||||||||
| Discharging of capacitor through a Resistor | ||||||||||
| 6 | Tu | Lecture 10: Magnetic Force |
Ch 29.1-3 | ► | Introduction to Magnetic Phenomena | |||||
| Bar magnets & Magnetic Field Lines | ||||||||||
| Source of Fields: Monopoles? Currents? | ||||||||||
| ► | Diversion: Relativity and E & M | |||||||||
| Special Relativity Requires B-field to exist!! | ||||||||||
| ► | Magnetic forces: The Lorentz Force equation | |||||||||
| Motion of charged particle in a Constant B-Field. | ||||||||||
| Th | Lecture 11: Forces & Magnetic Dipoles |
Ch 29.3-5 | ► | Trajectory of charged particle in a constant magnetic field: The Cyclotron | ||||||
| Magnetic Force on a current-carrying wire | ||||||||||
| Current Loops | ||||||||||
| Magnetic Dipole Moment | ||||||||||
| Torque (when in constant B field) | ||||||||||
| Potential Energy (when in constant B field) | ||||||||||
| 7 | Tu | Lecture 12: The Laws of Biot-Savart & Ampere |
Ch 30.1-4 | ► | Fundamental Law for Calculating B-Field | |||||
| Biot-Savart Law (brute force) | ||||||||||
| Ampere’s Law (high symmetry) | ||||||||||
| ► | Example: B-Field of Infinite Straight Wire | |||||||||
| from Biot-Savart Law | ||||||||||
| from Ampere’s Law | ||||||||||
| ► | Force on Two Parallel Current-Carrying Conductors | |||||||||
| Th | Lecture 13: Magnetic Fields |
Ch 30.1-5 | ► | Calculate Magnetic Fields | ||||||
| Inside a Long Straight Wire | ||||||||||
| Infinite Current Sheet | ||||||||||
| Solenoid | ||||||||||
| Toroid | ||||||||||
| Circular Loop | ||||||||||
| 8 | Tu | Reading Day | ||||||||
| Th | Lecture 14: Faraday's Law |
Ch 31.1-4 | ► | Induction Effects | ||||||
| Faraday’s Law (Lenz’ Law) | ||||||||||
| Energy Conservation with induced currents? | ||||||||||
| ► | Faraday’s Law in terms of Electric Fields | |||||||||
| Betatron | ||||||||||
| 9 | Tu | Test 2 | Ch 27-31 | ► | Basic Laws | |||||
| Biot-Savart Law, Ampere's Law, Faraday’s Law | ||||||||||
| ► | Basic Definitions | |||||||||
| Magnetic Field, Resistance, Magnetic Moment, Potential Energy, Magnetic Flux | ||||||||||
| ► | Important Derivations | |||||||||
| Kirchoff's Laws, Resistors: parallel,series, resistivity, Power in circuits, Force on currents, Torque on current loops. | ||||||||||
| Examples | ||||||||||
| Th | Lecture 15: Self-Inductance |
Ch 32 | ► | Concept of Self-Inductance | ||||||
| Definition of Self-Inductance | ||||||||||
| Calculation of Self-Inductance for Simple Cases | ||||||||||
| RL Circuits | ||||||||||
| Energy in Magnetic Field | ||||||||||
| Mutual Inductance | ||||||||||
| 10 | Tu | Lecture 16: Oscillations: LC Circuits | Ch 33.3 | ► | Qualitative descriptions: | |||||
| LC circuits (ideal inductor) | ||||||||||
| LC circuits (L with finite R) | ||||||||||
| ► | Quantitative descriptions: | |||||||||
| LC circuits (ideal inductor) | ||||||||||
| ---Frequency of oscillations | ||||||||||
| ---Energy conservation? | ||||||||||
| ► | LC circuits (L with finite R) | |||||||||
| Frequency of oscillations | ||||||||||
| Damping factor | ||||||||||
| Th | Lecture 17: AC Circuits |
Ch 33.1-4 | ► | Introduction: | ||||||
| Resistence and LC Oscillations | ||||||||||
| Phases for driven circuits with R, C, and L | ||||||||||
| ► | Phasors: | |||||||||
| Defined as a rotating vector | ||||||||||
| Phase difference between current & voltage for Resistors, Capacitors, and Inductors. | ||||||||||
| ► | Application to Driven Series LCR Circuit: | |||||||||
| General solution | ||||||||||
| 11 | Tu | Lecture 18: AC Circuits |
Ch 33.4-6 | ► | Driven Series LCR Circuit: | |||||
| General solution | ||||||||||
| Resonance condition | ||||||||||
| ..Resonant frequency | ||||||||||
| ..Sharpness of resonance = Q | ||||||||||
| Power considerations | ||||||||||
| ..Power factor depends on impedance | ||||||||||
| ► | Transformers | |||||||||
| Voltage changes | ||||||||||
| Faraday’s Law in action gives induced primary current. | ||||||||||
| Power considerations | ||||||||||
| Th | Lecture 19: Electromagnetic Waves | Ch 34 | ► | Electromagnetic Waves: Experimental | ||||||
| Ampere’s Law Is Incomplete: Displacement Current | ||||||||||
| Review of Wave Properties (remember the 111 finale?) | ||||||||||
| Electromagnetic Waves: Theory | ||||||||||
| Maxwell’s Equations contain the wave equation! | ||||||||||
| The velocity of electromagnetic waves = c | ||||||||||
| The relationship between E and B in an e-m wave | ||||||||||
| Energy in e-m waves: the Poynting vector | ||||||||||
| 12 | Tu | Lecture 20: Polarization | Ch 34.8 | ► | Linearly Polarized e-m Waves | |||||
| Linear Polarizers (Law of Malus) | ||||||||||
| Circular Polarization | ||||||||||
| Quarter-Wave Plates | ||||||||||
| Th | Lecture 21: Reflection & Refraction |
Ch 35 | ► | Polarization recap | ||||||
| Overview : waves in materials & geome. optics | ||||||||||
| Reflection | ||||||||||
| Index of Refraction | ||||||||||
| Snell’s Law for Refraction | ||||||||||
| Intensity of reflected, refracted waves | ||||||||||
| Total Internal Reflection | ||||||||||
| ► | Polarization | |||||||||
| Reflection: Brewster’s Angle | ||||||||||
| Scattering | ||||||||||
| 13 | Tu | Test 3 | Ch 32-36 | ► | Basic Laws | |||||
| Ampere’s Law (revisited) | ||||||||||
| ► | Basic Definitions | |||||||||
| Inductance, Phasors, Resonance, Reactances, Impedance, Displacement Current, Poynting Vector, Polarization States. | ||||||||||
| ► | Important Derivations | |||||||||
| RL Circuit behavior, Energy in inductor, LC Oscillations, LCR series circuit solution, Average Power in AC circuits, E-M Wave Eqn, Speed of E-M waves, LP Transmission, Reflection & Refraction. | ||||||||||
| ► | Examples | |||||||||
| Th | Lecture 22: Mirrors & Lenses |
Ch 36.1-4 | ► | Overview : Nothing new here! | ||||||
| Concave Spherical Mirrors | ||||||||||
| The Mirror Eqn, Magnification, Sign Conventions | ||||||||||
| ► | Planar & Convex Spherical Mirrors | |||||||||
| Lenses | ||||||||||
| The Lens Equation | ||||||||||
| ► | Summary | |||||||||
| 14 | Tu | Lecture 23: Optical Instruments |
Ch 36.5 | ► | The Lensmaker’s Formula | |||||
| Multiple Lenses | ||||||||||
| The Eye, corrective lens for Myopic and | ||||||||||
| Hypertropic Eyes | ||||||||||
| ► | Magnifiers & Microscopes | |||||||||
| Telescopes | ||||||||||
| Th | HAPPY THANKSGIVING!!! | |||||||||
| THANKSGIVING | ||||||||||
| 15 | Tu | Final Review |
See Lecture Class Notes | ► | Basic Laws | |||||
| Coulomb's Law or Gauss' Law | ||||||||||
| Law of Superposition | ||||||||||
| Biot-Savart Law, Ampere's Law | ||||||||||
| Faraday's Law (Lenz's Law) | ||||||||||
| ► | Basic Definitions | |||||||||
| Electric Field, Potential Difference, Electric Potential Energy, Field Lines, Equipotentials, Conductors and Insulators, Capacitance, Dielectric constant | ||||||||||
| Magnetic Field, Resistance, Magnetic Moment, Potential Energy, Magnetic Flux, Inductance, Phasors, Resonance, Reactances | ||||||||||
| Displacement Current, Poynting Vector, Polarization States | ||||||||||
| ► | Important Derivations | |||||||||
| E = -grad V , Capacitors: parallel, series, energy | ||||||||||
| Kirchoff's Laws, Resistors: parallel,series, resistivity, Power in circuits, Force on currents, Torque on current loops | ||||||||||
| RL Circuit behavior, Energy in inductor, LC Oscillations, LCR series circuit solution, Average Power in AC circuits | ||||||||||
| Mirror/Lens Equation | ||||||||||
| Final Exam: 12 December, 11:30-2:30 PM | ||||||||||