Maxwell First Equation : Derivation in easy steps || Engineering Physics

Описание: ​‪@aboveengineering‬
Maxwell's First Equation Derivation | Gauss's Law Explained | Electromagnetic Theory | Engineering Physics

In this lecture of **Engineering Physics / Electromagnetic Theory**, we derive and explain **Maxwell's First Equation**, which is the cornerstone of Electrostatics.

Maxwell's First Equation is essentially the differential form of **Gauss’s Law**. It mathematically relates the electric field to the charge density, showing that electric charges are the sources (or sinks) of electric fields. This derivation is frequently asked in B.Tech Semester Exams (RGPV, AKTU, VTU) and is fundamental for understanding wave propagation.

In this video, we move step-by-step from the Integral form to the Differential form using the Gauss Divergence Theorem.

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📌 Topics Covered in This Lecture:

*Introduction to Maxwell's Equations* – Why they are important.
*Statement of Gauss’s Law* – Total flux through a closed surface.
*Integral Form* – .
*Applying Gauss Divergence Theorem* – Converting Surface Integral to Volume Integral.
*Derivation of Differential Form* – or .
*Physical Significance* – How charge density creates divergence in the field.

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📚 Recommended Books (Standard References):

Introduction to Electrodynamics – David J. Griffiths
Engineering Physics – H.K. Malik & A.K. Singh
Concepts of Physics – H.C. Verma (Vol 2)
Higher Engineering Mathematics – B.S. Grewal
Engineering Physics – D.K. Bhattacharya
Electromagnetics – Kraus & Fleisch

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