L10.3 Plotting Induced Surface Charge Density | Angle & Distance Dependence | Electrodynamics скачать в хорошем качестве

L10.3 Plotting Induced Surface Charge Density | Angle & Distance Dependence | Electrodynamics

In this advanced Classical Electrodynamics tutorial, we take the derived formula for induced surface charge density (σ) and learn how to plot it to visualize its behavior. We make the expression dimensionless and calculate specific values for the charge density at key angles (θ = 0, π/2, π) and for different distance ratios (y/a = 2, 4). This practical guide shows you how to interpret the resulting plots, revealing how the charge distribution on the sphere's surface changes from a maximum at the point closest to the source charge to a minimum on the opposite side. This is essential for building intuition in electrostatics and boundary value problems. Based on J.D. Jackson's "Classical Electrodynamics", this lecture is perfect for physics and engineering students who want to master the application of the method of images. ► Lecture Notes https://drive.google.com/file/d/1DF5G... 00:00 - Making the Surface Charge Expression Dimensionless 03:44 - Calculating σ for y/a=2 at θ=0 (Max Value) 06:25 - Calculating σ for y/a=2 at θ=π/2 08:42 - Calculating σ for y/a=2 at θ=π (Min Value) 10:13 - Plotting the Data: Charge Density vs. Angle (θ) 11:44 - Comparing the Plot for a Different Distance (y/a=4) 15:12 - Physical Interpretation of the Charge Distribution ► RECOMMENDED TEXTBOOK: Classical Electrodynamics by John David Jackson ► FOLLOW THE FULL SERIES:    • L1.1 Electrostatics Fundamentals: Charge P...   #Electrodynamics #Jackson #MethodOfImages #Physics Plotting Surface Charge Density, Induced Charge Distribution, Theta Dependence, Angle Theta, Distance Ratio y/a, Dimensionless Analysis, Classical Electrodynamics, JD Jackson, Method of Images, Electrostatics, Physics Visualization, Charge Density Plot, Physics Tutorial, Advanced Physics, Boundary Value Problems