Maxwell's Third Equation Derivation | Faraday's Law Explained | Easy steps Engineering Physics

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Maxwell's Third Equation Derivation | Faraday's Law Explained | Engineering Physics

In this lecture of **Engineering Physics**, we derive and explain **Maxwell's Third Equation**, which is based on **Faraday’s Law of Electromagnetic Induction**.

Unlike the first two equations (which deal with static fields), Maxwell's Third Equation () introduces the concept of **Time-Varying Fields**. It explains how a changing magnetic field produces an electric field (EMF), which is the fundamental principle behind Transformers and Generators.

We will start with the integral form of Faraday's Law, apply **Stokes' Theorem**, and derive the differential form step-by-step.

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🔗 Previous Lecture Links:

**Lecture – Maxwell's 1st Equation (Gauss Law):**[    • Maxwell First Equation : Derivation in eas...  ]
*Lecture – Maxwell's 2nd Equation (Magnetism):* [   • Maxwell 2nd Equation Derivation || Easy st...  ]

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   • What is Divergence || engineering physics ...  

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   • Maxwell Equations Explained || Full concep...  


📌 Topics Covered in This Lecture:

*Statement of Maxwell's 3rd Equation* – Relation between and .
*Faraday’s Law & Lenz’s Law* – Meaning of the negative sign.
*Integral Form* – .
*Applying Stokes' Theorem* – Converting Line Integral to Surface Integral.
*Derivation of Differential Form* – Proving .
*Physical Significance* – Why the Electric field is non-conservative in dynamic conditions.

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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
Electromagnetics – Kraus & Fleisch

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