L10.2 Induced Surface Charge Density on a Grounded Sphere | Method of Images Derivation скачать в хорошем качестве

L10.2 Induced Surface Charge Density on a Grounded Sphere | Method of Images Derivation

In this advanced Classical Electrodynamics lecture, we complete the derivation of the induced surface charge density (σ) on a grounded conducting sphere due to a nearby point charge. Using the method of images, we simplify the complex mathematical expression for sigma, step-by-step, revealing its dependence on the angle (θ) and the distance-to-radius ratio (y/a). This video is crucial for understanding how charge distributes itself on a conductor's surface to maintain a zero-potential boundary condition. We also discuss how to plot this distribution and interpret its behavior at different angles and distances, providing deep insight into electrostatic boundary value problems. This content is based on J.D. Jackson's "Classical Electrodynamics" and is essential for graduate students and researchers in physics and electrical engineering. ► Lecture Notes https://drive.google.com/file/d/1DF5G... 00:00 - Simplifying the Surface Charge Density Expression 03:01 - Substituting Image Charge Values (q', y') 06:59 - Final Expression for Induced Surface Charge Density (σ) 11:11 - Understanding the Variables: Angle (θ) & Distance Ratio (y/a) 15:55 - How to Plot the Charge Distribution: Setting Parameters ► RECOMMENDED TEXTBOOK: Classical Electrodynamics by John David Jackson ► FOLLOW THE FULL SERIES:    • L1.1 Electrostatics Fundamentals: Charge P...   #Electrodynamics #Jackson #MethodOfImages #Physics Induced Surface Charge Density, Sigma, Grounded Conducting Sphere, Method of Images, Classical Electrodynamics, JD Jackson, Electrostatics, Charge Distribution, Theta Dependence, Distance Ratio y/a, Image Charge, Physics Derivation, Advanced Physics, Physics Lecture, Boundary Value Problems, Plotting Charge Density