| I. Maxwell's Equations |
| R1 |
Review of Vector and Integral Calculus; Cartesian, Cylindrical, and Spherical Coordinate Systems; ej(ωt-kz) Complex Notation; Gradient, Curl, and Divergence |
Problem set 1 out |
| L1 |
Coulomb-Lorentz Force Law; Maxwell's Equations in Integral Form; Simple Electric and Magnetic Field Solutions using Gauss' and Ampere's Laws for Point, Line, and Surface Charges and Currents; Superposition; Simple Cylindrical and Spherical Source Problems
Demos: H/M 10.2.1 - Edgerton's Boomer |
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| R2 |
Simple Problems using Superposition and Integral Forms of Gauss' and Ampere's Laws with Simple Spatial Distributions of Volume Charge Density and Volume Current Density |
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| L2 |
Derive Boundary Conditions; Apply Boundary Conditions to Surface Charge and Surface Current Problems |
Problem set 2 out |
| R3 |
Boundary Condition Problems, e.g., Perfectly Conducting Sphere or Cylinder Surrounding Point or Line Charge or Line Current |
Problem set 1 due |
| L3 |
Divergence and Stokes' Theorems; Maxwell's Equations in Differential Form; Electroquasistatics and Magnetoquasistatics; Potential and the Gradient Operator
Demo: H/M 10.0.1 Nonuniqueness of Voltage in an MQS System |
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| R4 |
Problem Solutions using Differential Form of Maxwell's Equations: Surface and Volume Charged or Current Carrying Planar Layer, Cylinder and Sphere |
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| L4 |
The Electric Field, Electric Scalar Potential, and the Gradient; Poisson's and Laplace's Equations; Potential of Point Charge; Coulomb Superposition Integral |
Problem set 3 out |
| R5 |
The Electric Dipole (Potential and Electric field); Simple Problems using the Coulomb Superposition Integral (Line Charge, Ring of Line Charge, Disk of Surface Charge) |
Problem set 2 due |
| L5 |
Method of Images |
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| R6 |
Method of Images Problems with Planes, Cylinders, and Spheres |
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| L6 |
Media: Dielectric, Conducting, and Magnetic Constitutive Laws; Charge Relaxation
Demos: H/M 6.6.1 Artificial Dielectric; 9.4.1 Measurement of B-H Characteristic |
Problem set 4 out |
| R7 |
Capacitance, Resistance, Inductance, and Charge Relaxation Problems in Cartesian, Cylindrical, and Spherical Geometries
Demo: H/M 7.7.1 Relaxation of Charge on Particle in Ohmic Conductor (Video); Supplement: Kelvin's Water Dynamos (Video) |
Problem set 3 due |
| L7 |
Conservation of Charge Boundary Condition; Maxwell Capacitor; Magnetic Dipoles and Circuits; Reluctance |
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| II. Plane Waves |
| L8 |
Wave Equation; Poynting's Theorem |
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| R8 |
Sinusoidal Steady State; Normal Incidence on a Perfect Conductor and a Dielectric
Demo: Plane Wave Movies |
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| L9 |
Oblique Incidence on a Perfect Conductor; TM Waves with Oblique Incidence on Lossless Media Described by ε and µ; Reflection and Transmission; TE Waves with Oblique Incidence on Lossless Media |
Problem set 5 out |
| R9 |
Snell's Law: Brewster and Critical Angles; Effects of Ohmic Loss; Skin-depth
Demo: Laser and Prism Brewster's Angle, Critical Angle |
Problem set 4 due |
| R10 |
Lasers; Applications to Optics: Polarization by Reflection; Totally Reflecting Prisms; Fiber Optics-straight Light Pipe, Bent Fiber |
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| R11 |
Lasers; Optical Devices |
Problem set 5 due
Problem set 6 out |
| III. Transmission Lines and Waveguides |
| L10 |
Parallel Plate Transmission Lines; Wave Equation; Sinusoidal Steady State
Demo: H/M 13.1.1 Visualization of Standing Waves |
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| R12 |
Transmission Line Sinusoidal Steady State Problems with Short Circuit, Open Circuit, and Loaded Ends; Short-line Limits as Circuit Approximations to Capacitors and Inductors |
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| L11 |
Gamma Plane; Smith Chart; VSWR; λ/4 Transformer
Demo: V(z,t), I(z,t) Movies |
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| R13 |
Quiz 1 Review |
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| Q1 |
Quiz 1 |
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| R14 |
Impedance and VSWR Problems using the Smith Chart; Single-stub Tuner |
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| L12 |
Wave Equations (Lossless); Transient Waves on Transmission Lines
Demo: H/M 14.4.1 Transmission Line Matching, Reflection, and Quasistatic Charging |
Problem set 7 out |
| R15 |
Transient Wave Driven and Initial Value Problems
Demo: Transient Wave Movies |
Problem set 6 due |
| L13 |
Reflections from Ends; Driven and Initial Value Problems |
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| R16 |
Waveguide Fields; Surface Charge and Current; Calculation and Sketching of Electric and Magnetic Field Lines
Demo: Show Plots of Electric and Magnetic Field Lines for Various Waveguide Modes |
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| L14 |
Rectangular Waveguides; Transverse Magnetic (TM) and Transverse Electric (TE) Modes; Cut-off |
Problem set 8 out |
| R17 |
Cavity Resonators; Group and Phase Velocity; Dispersion Relations; Lasers |
Problem set 7 due |
| IV. Fields and Forces |
| L15 |
Dielectric Waveguides
Demo: Evanescent Waves |
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| R18 |
Force Problems in Capacitive and Inductive Systems |
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| L16 |
Energy in Electric and Magnetic Fields; Principle of Virtual Work to Find Electric and Magnetic Forces; Magnetic Circuit Problems
Demo: H/M 11.6.2 Force on a Dielectric Material (Video) |
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| R19 |
Ohm's law for Moving Media; Faraday's Disk (Homopolar Generator); Torque; Equivalent Circuit |
Problem set 8 due
Problem set 9 out |
| L17 |
Synchronous Rotating Machines
Film: Synchronous Machines |
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| L18 |
Self-Excited Electric and Magnetic Machines
Demo: H/M 7.7.1 Van de Graaff and Kelvin Generators (Video); Self-excited Commutator Machines |
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| R20 |
Quiz 2 Review |
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| Q2 |
Quiz 2 |
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| R21 |
Torque-speed Characteristics of Rotating Machines |
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| V. Antennas and Radiation |
| L19 |
Radiation by Charges and Currents; Setting the Gauge; Lorentz Gauge; Superposition Integral Solutions for Scalar and Vector Potentials; Radiation from a Point Electric Dipole; Receiving Antenna Properties |
Problem set 10 out |
| R22 |
Electric and Magnetic Fields from a Point Electric Dipole; Far-field Solution; Radiation Resistance; Effective Dipole Length; Antenna Gain |
Problem set 9 due |
| L20 |
2 Element Array; Broad Side and End-fire Arrays
Demo: Radiation Patterns |
Problem set 11 out |
| R23 |
Element and Array Factors; N Dipole Array; Beam Steering
Demo: Radiation Patterns/Computer Simulations |
Problem set 10 due |
| L21 |
Transmitting and Receiving Antennas; Wireless and Optical Communications |
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| R24 |
Wireless and Optical Communication Problems |
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| VI. Acoustics |
| L22 |
Acoustic Waves |
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| R25 |
Acoustic Wave Boundary Value Problems |
Problem set 11 due |
| L23 |
Course Review |
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