Скачать или смотреть L11.2 Method of Images: Force Calculation & Limiting Cases | Charged Insulated Sphere

In this advanced electrodynamics lecture, we complete the analysis of a point charge near a charged, insulated conducting sphere. We derive the full expression for the electrostatic force, analyze its behavior at short and long distances, and draw a fascinating analogy with interatomic forces. Based on J.D. Jackson's Classical Electrodynamics.

Key Topics Covered:
Final derivation of the electrostatic force on the point charge.
Analysis of the force in the short-distance limit (y ≈ a) and long-distance limit (y a).
Physical interpretation: Why the force is attractive at close range and repulsive at a distance.
Detailed analogy between this electrostatic setup and the potential energy between two atoms.
Extension of the method to a sphere held at a fixed potential (V) instead of a fixed charge.

This lecture is crucial for students mastering the method of images, understanding force laws in boundary value problems, and seeing the connection between classical electrodynamics and atomic physics.

► Lecture Notes
https://drive.google.com/file/d/1q23Y...

0:00 - Deriving the Final Force Expression (F)
5:17 - Analyzing the Long-Distance Limit (y a)
8:46 - The Shift from 1/r³ to 1/r² Force Law
13:47 - Analyzing the Short-Distance Limit (y ≈ a)
18:22 - Physical Interpretation: Attraction vs. Repulsion
20:29 - Analogy with Atomic Bonding and Potential Wells
24:05 - Extension to a Sphere at Fixed Potential (Phi = V)

► RECOMMENDED TEXTBOOK:
Classical Electrodynamics by John David Jackson

► FOLLOW THE FULL SERIES:
   • L1.1 Electrostatics Fundamentals: Charge P...  

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