AKTU Engineering Physics: Unit 2 Basics | Electromagnetic Theory(Gradient, Divergence, Curl) скачать в хорошем качестве

AKTU Engineering Physics: Unit 2 Basics | Electromagnetic Theory(Gradient, Divergence, Curl)

This lecture is the starting point for Unit 2: Electromagnetic Theory in the Engineering Physics course, focusing on the essential mathematical tools of Vector Calculus needed to understand the core theorems and concepts. 0:00 iNTRODUSTION 00:06 Unit Introduction: Starting the new unit on Electromagnetic Theory and introducing the need for Vector Calculus to study core topics like Stokes' and Gauss' Laws. 02:45The Origin of EM Theory: A brief history of how James Clerk Maxwell unified the Electric Force and Magnetic Force into the single Electromagnetic Force. 6:47Fields and Functions: Defining and differentiating between Vector Field (like electric/magnetic fields) and Scalar Field (like temperature or height). 09:48 Understanding Change: Explaining the concept of Partial Derivatives to analyze how a function changes with respect to one variable while holding others constant. 14:31 The Del Operator: Introducing the core mathematical tool, the Del Operator ($
abla$) or nabla, which allows for spatial differentiation in vector calculus. 16:31Three Vector Operations: Introducing the three main operations of the Del operator on fields: Gradient, Divergence, and Curl. 20:34 Gradient (Grade): Detailed explanation of the physical meaning of Gradient (which operates on a scalar field), illustrated with the example of finding the steepest path on a mountain. 27:50 Divergence: Detailed explanation of the physical meaning of Divergence (which operates on a vector field via a dot product), illustrated by electric field lines emerging from a positive charge. 30:35Curl: Detailed explanation of the physical meaning of Curl (which operates on a vector field via a cross product), illustrated by a spinning object in a river's fluid flow to represent rotation. 35:24Stokes' Theorem: Introduction to Stokes' Theorem, which connects a line integral (microscopic circulation) around a boundary to the surface integral of the curl (macroscopic circulation) across the enclosed area. 42:46 Gauss' Divergence Theorem: Introduction to Gauss' Divergence Theorem, which relates the volume integral of divergence to the surface integral (flux), highlighting its importance for conservation laws like continuity of charge and mass. 46:36 Final Advice: Encouragement for engineering students to seriously pursue and master a course in Vector Calculus due to its critical and broad applications. field theory#electromagnetic theory#electromagnetic theory engineering physics, Electromagnetic theory_basic mathematical ideas_UNIT 02 -MMTU, BTU, RGPV, SBPU Physics #electromagnetism engineering physics, #emt engineering physics, #engineering physics, electromagnetic theorythis series will cover all the topics related with the engineering physics in detail. this video deals with the basic mathematical ideas for the EMT from vector calculus