Dive Deep Into Electrodynamics: Thoery And Problem-Solving

Master Maxwell's equations with ease.

What you'll learn

Master the theoritical foundations of electrodynamics, including key laws and principles

Apply vector calculus to solve electromagnetic problems

Derive and analyze Maxwell's equations and their implications

Analyticakl skills for solving physics problems related to electrodynamics

Requirements

A solid understanding of calculus (differentiation and integration)

Familiarity with vector algebra (dot products, cross products, vector fields)

Basic concepts in classical mechanics (Newton's laws, work-energy principle)

Basic problem-solving techniques

Description

Are you ready to dive into the fascinating world of electrodynamics? Whether you're a physics enthusiast, a student preparing for exams, or an engineer looking to strengthen your knowledge, this course is designed for you! It will take you on a journey through vector calculus to Maxwell's equations.Dive into the core concepts of electrodynamics with a detailed exploration of vector calculus, electrostatics, magnetostatics, and Maxwell's equations. This course is designed to provide a strong theoretical foundation and practical problem-solving skills for students, engineers, and physics enthusiasts.Key Features of the Course:Vector Calculus :Gain gradient, divergence, and curl proficiency to build a solid mathematical foundation for understanding electromagnetic fields.Electrostatics:Explore electric charges, field lines, potential, Gauss's law, and their applications in static systems.Magnetostatics:Analyze magnetic fields, forces, and potentials in static systems using Ampere’s law and Biot-Savart's law.Maxwell’s Equations:Delve into the detailed derivation, physical interpretation, and applications of Maxwell’s equations, the cornerstone of electrodynamics. Clear and concise explanations of fundamental and advanced concepts.Problem-solving techniques with detailed, step-by-step solutions.Tests and exercises to reinforce understanding and mastery.Familiarity with basic calculus and introductory physics is recommendedEmbark on a journey to master electrodynamics and gain the skills to analyze and solve complex electromagnetic problems. Enroll now and take your understanding of the universe’s forces to the next level!

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Vector Calculus

Lecture 2 Spherical Coordinates

Lecture 3 Exercise : 1

Lecture 4 Solution : 1

Lecture 5 Gradient

Lecture 6 Exercise : 2

Lecture 7 Solution : 2

Lecture 8 Divergence

Lecture 9 Exercise : 3

Lecture 10 Solution : 3

Lecture 11 Curl

Lecture 12 Exercise : 4

Lecture 13 Solution : 4

Lecture 14 Vector Projection

Lecture 15 Exercise : 5

Lecture 16 Solution : 5

Lecture 17 Scalar Product

Lecture 18 Exercise : 6

Lecture 19 Solution : 6

Lecture 20 Vector Product

Lecture 21 Exercise : 7

Lecture 22 Solution : 7

Lecture 23 Line Integral

Lecture 24 Exercise : 8

Lecture 25 Solution : 8

Lecture 26 Surface Integral

Lecture 27 Exercise : 9

Lecture 28 Solution : 9

Lecture 29 Cylindrical Coordinates

Lecture 30 Exercise : 10

Lecture 31 Solution : 10

Lecture 32 Dirac Delta Function

Lecture 33 Exercise : 11

Lecture 34 Solution : 11

Lecture 35 The Fundamental Theorem of Calculus

Lecture 36 Exercise : 12

Lecture 37 Solution : 12

Lecture 38 The Fundamental Theorem for Gradients

Lecture 39 Exercise : 13

Lecture 40 Solution : 13

Lecture 41 The Fundamental Theorem for Divergences

Lecture 42 Exercise : 14

Lecture 43 Solution : 14

Lecture 44 The Fundamental Theorem for Curls

Lecture 45 Exercise : 15

Lecture 46 Solution : 15

Lecture 47 Test 1 : Vector Calculus

Section 3: Electrostatics

Lecture 48 Electri Field

Lecture 49 Exercise : 16

Lecture 50 Solution : 16

Lecture 51 Coulomb's Law

Lecture 52 Exercise : 17

Lecture 53 Solution : 17

Lecture 54 Gauss's Law

Lecture 55 Exercise : 18

Lecture 56 Solution : 18

Lecture 57 Electric Potential

Lecture 58 Exercise : 19

Lecture 59 Solution : 19

Lecture 60 Boundary Conditions

Lecture 61 Exercise : 20

Lecture 62 Solution : 20

Lecture 63 Work and Energy in Electrostatics

Lecture 64 Exercise : 21

Lecture 65 Solution : 21

Lecture 66 Conductors

Lecture 67 Exercise : 22

Lecture 68 Solution : 22

Lecture 69 Capacitors

Lecture 70 Exercise : 23

Lecture 71 Solution : 23

Lecture 72 Test 2 : Electrostatics

Section 4: Magnetostatics

Lecture 73 Magnetic Field

Lecture 74 Exercise : 24

Lecture 75 Solution : 24

Lecture 76 Magnetic Force

Lecture 77 Exercise : 25

Lecture 78 Solution : 25

Lecture 79 Currents

Lecture 80 Exercise : 26

Lecture 81 Solution : 26

Lecture 82 The Biot-Savart Law

Lecture 83 Exercise : 27

Lecture 84 Solution : 27

Lecture 85 Ampere's Law

Lecture 86 Exercise : 28

Lecture 87 Solution : 28

Lecture 88 Magnetic Vector Potential

Lecture 89 Exercise : 29

Lecture 90 Solution : 29

Lecture 91 Test 3 : Magnetostatics

Section 5: Electrodynamics

Lecture 92 Ohm's Law

Lecture 93 Exercise : 30

Lecture 94 Solution : 30

Lecture 95 Electromotive Force

Lecture 96 Exercise : 31

Lecture 97 Solution : 31

Lecture 98 Faraday's Law

Lecture 99 Exercise : 32

Lecture 100 Solution : 32

Lecture 101 Maxwell's Correction of Ampere's Law

Lecture 102 Exercise : 33

Lecture 103 Solution : 33

Lecture 104 Maxwell's Equations

Lecture 105 Exercise : 34

Lecture 106 Solution : 34

Lecture 107 Test 4 : Electrodynamics

Section 6: Further Studies

Lecture 108 External resourrces to learn electrodynamics further

This course is designed for students with background in introductory physics and calculus. You should be comfortable with basic concepts like electric fields, magnetic fields, and fundamental vector operations.,This course is for anayone who wants to explore the fascinating world of electrodynamics, whether you're a student, an engineer, or a curious learner.,Ideal for undergraduate physics or engineering students who want to deepen thier understanding of electromagnetism.