Leçon n. 1: Electrostatics
Introduction
Electrostatic Charges
Charge Quantization
Conservation of Charge
Distribution of Charge
Coulomb's Law
Derivation of the Inverse Square Law
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Sami Mahmood
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Leçon n. 2: Electric Fields
Lesson Content
Introduction
The Electric Field
Electric Field Lines
Electric Field of a Point Charge
Electric Field of a Distribution of Charges
Electric Field of an Electric Dipole
Electric Dipole in an Electric Field
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Sami Mahmood
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Leçon n. 3: Gauss'Law and Applications
Lesson Content
Introduction
Flux of an Electric Field
Gauss’ Law
Flux of a Point Charge
Application of Gauss’ Law: Cylindrical Symmetry
Application of Gauss’ Law: Planar Symmetry
Application of Gauss’ Law: Spherical Symmetry
Differential Form of Gauss’ Law
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Sami Mahmood
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Leçon n. 4: Electric Potential
Lesson Content
Electrostatic Potential Energy
Electrostatic Potential
Relation Between the Electric Field and the Potential
The Electric Dipole
Equipotential Surfaces
Poisson Equation
Laplace’s Equation
Applications
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Sami Mahmood
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Leçon n. 5: Capacitance and Electric Field Energy
Lesson Content
Introduction
Capacitance
Capacitance of a Single Conductor
Parallel-Plate Capacitor
Units of Capacitance
Capacitors in Parallel
Capacitors in Series
Systems of Conductors
Electric Field Energy
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Sami Mahmood
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Leçon n. 6: Dielectrics
Lesson Content
Introduction
Polarization
Electric Susceptibility
Electric Displacement
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Sami Mahmood
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Leçon n. 7: Electric Current and Resistance (I)
Lesson Content
Introduction
Electric Current
Resistance
Conduction
Ohm’s Law
Resistivity
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Sami Mahmood
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Leçon n. 8: Electric Current and Resistance (II)
Lesson Content
Resistance Calculation
Non-uniform Conductor
Two Concentric Cylinders
Resistors in Series
Resistors in Parallel
Joule Effect
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Sami Mahmood
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Leçon n. 9: Electric Circuits
Lesson Content
Introduction
Electric Current
Resistance
Conduction
Ohm’s Law
Resistivity
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Sami Mahmood
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Leçon n. 10: Electric Circuits: Circuit Analysis (I)
Lesson Content
Resistance Calculation
Non-uniform Conductor
Two Concentric Cylinders
Resistors in Series
Resistors in Parallel
Joule Effect
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Sami Mahmood
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Leçon n. 11: Electric Circuits: Circuit Analysis (II)
Lesson Content
Thévenin’s Theorem
Theory of Maximum Power Transfer
Unbalanced Wheatstone Bridge
Norton’s Theorem
Applications
Superposition Theorem
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Sami Mahmood
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Leçon n. 12: Magnetic Fields
Lesson Content
Introduction
Magnetic Field in Vacuum
Magnetic Force on a Moving Charge
Lorentz Force
Hall Effect
Magnetic Field Lines
Magnetic Force on a Current
Magnetic Force and Torque on a Current Loop
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Sami Mahmood
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Leçon n. 13: Magnetic Fields Due to Currents (I)
Lesson Content
Introduction
Forces Between Two Currents
Laplace Force Law
Biot-Savart Law
Applications of Biot-Savart Law
The Divergence of The Magnetic Induction
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Sami Mahmood
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Leçon n. 14: Magnetic Fields Due to Currents (II)
Lesson Content
Introduction
Ampere’s Law
Applications of Ampere’s Law
Forces Between Two Parallel Wires
Differential Form of Ampere’s Law
The Vector Potential
The Magnetic Flux
Gauge Invariance
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Sami Mahmood
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Leçon n. 15: Electromagnetic Introduction
Lesson Content
Introduction
Experimental Approach
Faraday’s Law
Lenz’s Law
Induction and Energy Transfer
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Sami Mahmood
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Leçon n. 16: Inductance
Lesson Content
Introduction
Self-Inductance
Self-inductance of a long solenoid
Self-inductance of a toroid
Mutual Inductance
Two Coaxial Solenoids
Energy of a Magnetic Field
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Sami Mahmood
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Leçon n. 17: Maxwell's Equations
Lesson Content
Electromagnetic Equations - static case
Electromagnetic Equations - dynamic case
Displacement Current
Maxwell’s Equations in Vacuum
Gauge Invariance
Lorentz Gauge
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Sami Mahmood
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Leçon n. 18: Electromagnetic Energy - Poynting Vector
Lesson Content
Introduction
Electromagnetic Energy
Poynting Vector
Examples
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Sami Mahmood
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Leçon n. 19: Alternating Current Circuits- First Order Circuits
Lesson Content
Introduction
RC Circuit
RL Circuit
Reactance
First Order Circuits
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Sami Mahmood
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Leçon n. 20: Alternating Current Circuits - Rc, Rl, RLC Circuits
AC First Order Circuits
Lesson Content
RC Circuits
RL Circuits
AC Second Order Circuits
Homogeneous Solution
Particular Solution
Resonance
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Sami Mahmood
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Leçon n. 21: Geometrical Optics: Reflection and Refraction
Lesson Content
Introduction
Light Rays and Rectilinear Propagation
Superposition Principle
Theoretical Basis of Geometrical Optics
Light
Speed of Light
Index of Refraction
Fermat’s Principle
Law of Reflection
Law of Refraction
Fermat’s Principle: Reflection
Fermat’s Principle: Refraction
Image Construction
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Sami Mahmood
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Leçon n. 22: Geometrical Optics: Spherical Surfaces
Lesson Content
Reflection from a Spherical Surface
Concave Mirror
Convex Mirror
Sign convention
Mirror Equation
Image Construction
Refraction at a Spherical Surface
Convex Surface
Concave Surface
Refracting surface equation
Lateral Magnification
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Sami Mahmood
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Leçon n. 23: Geometrical Optics: Lenses and Optical Instruments
Lesson Content
Introduction
Prisms
Lenses
Types of lenses
Thin Lens Approximation
Compound Lenses
Magnifiers and Microscopes
The Telescope
The Camera
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Sami Mahmood
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Leçon n. 24: Physical Options: Interference of Light
Lesson Content
Introduction
Huygens Wave Theory
Interference
Young’s Double Slit Experiment
Thin Films
Thin Wedge
Newton’s Rings
Michelson’s Interferometer
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Sami Mahmood
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Leçon n. 25: Physical Options: Diffraction
Lesson Content
Introduction
Fresnel Diffraction
Fraunhofer Diffraction
Horizontal Slit
Circular Aperture
Diffraction Grating
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Sami Mahmood
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