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ECE 230, Winter 2021
Fields and waves
Instructor
Sayak Bhattacharya
Office hour: By appointment (over Google meet)
E-mail: sayak|at|iiitd.ac.in
Lectures: Mon,Thu 2:30-4:00pm
Tutorials: Wed 12:00-1:00pm (Online)
Teaching Assistants
TBA
Office hours: By appointment
Announcements
Download assignment 2 here! Deadline 11 pm, April 6.
Download assignment 1 here! Deadline 6 pm, March 25.
Course webpage online! The first lecture 'll be on Mon, Jan. 11, 2021.
Lectures
| S. No. | Date | Topic | Advised Reading | Lectures |
| 1 | Jan 11 | Course outline & grading policy, Introduction to waves
| | Slides
Recording
| 2 | Jan 18 | Gravitation vs. Electrostatics, How fast does an electron move
Accelerated charge and origin of EM waves, A glimpse of transmission line (situations in which KCL and KVL do not work!)
Introduction to scalar and vector fields
A brief history of Electromagnetism
| Griff. ch 1, Sad. ch 1,2 Feyn. ch 1
Watch this!
| Slides
Recording
| 3 | Jan 21 | Gradient operator and its physical interpretation, level surface, directional derivative
Relation between electrostatic field and potential
Line integral and conservative fields
Different coordinate systems
Line integral and conservative fields
Flux of a vector field, Divergence operator: definition and physical interpretation
| Griff. ch 1, Sad. ch 2, 3, Feyn ch. 2
| Slides
Recording part 1
Recording part 2
| 4 | Jan 25 | Gauss's divergence theorem, Laplacian operator
Earnshaw's theorem and Paul trap
Curl operator and Stoke's theorem
| Griff. ch 1, Sad. ch 2, 3, Feyn ch. 2
| Slides
Recording
| 5 | Jan 28 | Dirac delta function in 3D & volume charge density of point charges
How much is the divergence of a radially directed inverse square function
Coulomb's law and Gauss's law, Poisson's equation and Laplace's equation | Griff. ch 1, ch 2
| Lecture note
Slides
Recording
| 6 | Feb 1 | Electrostatic potential, potential due to charge distribution, Equipotential surface, Demo starts at 44:00
Perfect conductors, Electric field and volume charge inside a perfect conductor, perfect conductors as equipotentials
Electrostatic boundary conditions
| Griff. ch 2
| Lecture note
Recording
| 7 | Feb 4 | Energy of an assembly of point-charges, Electrostatic energy density, Electrostatic field inside a material
Induced dipole and dipole moment of polar molecules
Polarization vector
| For the first two topics: Griff. ch 2; Griff. ch 4 for the rest
| Lecture note
Recording
| 8 | Feb 8 | Quiz 1 | Solutions to be posted soon
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| | 9 | Feb 11 | Potential due to a polarized dielectric, Surface and volume bound charge densities, Physical interpretation of bound charges Gauss's law in a dielectric material, Displacement density, Electrical susceptibility, Relative permittivity
| Griff. ch 4
| Lecture note
Recording
| 10 | Feb 15 | Lorentz force law, demo at 14:08 , Parallel and anti-parallel currents, demo at 15:38
Charged particles in non-uniform magnetic fields, Greatest Electromagnetic show on the earth: Aurora
Force on a current-carrying wire, surface and volume current density
Eqn. of continuity
Relaxation time: conductors and insulators
| Griff. ch 5
| Lecture note (part of lecture 11 included)
Recording
| 11 | Feb 18 | Biot-Savart Law,Divergence and curl of magnetic field, Ampere's law
Magnetic vector potential and its non-uniqueness
| Griff. ch 5
| Lecture note
Recording
| 12 | Feb 22 | Boundary conditions for tangential and normal components of magnetic field
Magnetic field in matter
Magnetic dipole in a uniform magnetic field
Force on a magnetic dipole in a non-uniform magnetic field: paramagnetismDemo starts at 41:00 (liquid hanging from a magnet!)
Magnetization, Ampere's law for magnetized materials
| Griff. ch 5 for magnetic field boundary conditions, Griff. ch 6 for the rest
| Lecture note
Recording
| 13 | Feb 25 | Magnetic suspetibility, permeability, diamagnetism
Doubt clearance session
| Griff. ch 6
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| | 14 | Mar 15 | EMF and Faraday's law of induction
A glitch in Ampere's law: Introduction to Electrodynamics, Maxwell's modification to Ampere's law
Maxwell's equations: differential form Potentials in Electrodynamics | Griff. ch 7
| Lecture note
Recording
| 15 | Mar 18 | Maxwell's equation: integral form, time domain and frequency domain representation
EM wave propagation: a physical picture, Polarization of EM waves, Displacement current
High frequency behavior of circuits: introduction to transmission line
Working mechanism of a transmitting antenna: Demo 1, Demo 2
Working mechanism of a receiving antenna: Demo
| Griff. ch 10.1
| Lecture note
| | 16 | Mar 22 | Complex permittivity
Quiz 2
| Lecture notes
| Lecture note
| | 17 | Mar 25 | Dispersive medium: origin and frequency dependence of dielectric constant
Scalar wave equation
Electromagnetic wave equation, Helmholtz equation
| Griff. ch 9 (Electromagnetic Waves)
| Lecture note
Recording
| 18 | Apr 1 | Electromagnetic wave equation in 1D: uniform plane wave
Electromagnetic wave equation in 3D
| Griff. ch 9
(Electromagnetic Waves)
| Lecture note
Recording
| 19 | Apr 5 | Poynting's theorem
Electromagnetic waves in materials: attenuation in conducting materials, skin depth
| Poynting's theorem: Griff. ch 8, Griff. ch 9 for the rest
| Lecture note
Recording
| 20 | Apr 8 | Standing wave and SWR
Reflection at planar interface: normal incidence
| Griff. ch 9, lecture notes
| Lecture note (contains notes for the next lecture as well)
Recording
| 21 | Apr 12 | Reflection at planar interface: oblique incidence
Quiz
| Griff. ch 9
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Recording
| 22, 23 | Apr 15, 19 | Transmission lines: Why KCL and KVL can't be applied at high frequencies, Electromagnetic origin of distributed transmission line parameters
Transmission line equations: voltage and current waves, propagation velocity, lossless line
Characteristic impedance and input impedance
Reflection coefficient, VSWR, Short circuit and open circuit in transmission lines
| Sad. and lecture notes
| Lecture notes
Recording (lecture 22)
Recording (lecture 23)
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Tutorials
Tutorial 1
Tutorial 2
Tutorial 3
Tutorial 4
Tutorial 5
Tutorial 6
References
David J. Griffiths, Introduction to Electrodynamics, Pearson 4th Ed. (2015).
R. Feynman, R. Leighton, M. Sands, The Feynman Lectures on Physics (Vol II)
Matthew. N. O. Sadiku, Elements of Electromagnetics.
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