L30.1 Separation of variables - spherical polar coordinates - Example 3.7
#electrodynamics #griffiths #sayphysics
00:00 - Introduction to Example 3.7: Solving for Potential Outside a Hollow Sphere
00:08 - Recap of Example 3.6: Hollow Sphere with Surface Potential
00:15 - Overview of Problem Statement in Example 3.7
00:35 - Understanding the Problem Setup and Geometry
00:52 - Potential Specified on the Surface of the Sphere
01:05 - Key Differences Between Example 3.6 and 3.7
01:41 - Legendre Polynomial Solution for Potential Outside the Sphere
02:07 - Conditions for A_L in the Solution
02:21 - Analyzing the Behavior of the Potential Outside the Sphere
02:53 - Determining the Non-Zero Terms for B_L
03:24 - Writing the Equation for Potential Outside the Sphere
03:50 - Applying the Summation to Find B_L Values
04:11 - Setting Up the Integral for B_L Calculation
04:49 - Integration Process Involving Legendre Polynomials
05:56 - Solving for the Value of B_L Using Orthogonality
06:39 - Final Formula for B_L
07:03 - Conclusion of the B_L Calculation
07:51 - Final Expression for the Potential Outside the Sphere
08:00 - Recap of Steps and Solution for V(r,θ)
08:27 - Further Practice and Closing Remarks
Example 3.7
The potential Vo(θ) is again specified on the surface of a sphere of radius R, but this time we
are asked to find the potential outside, assuming there is no charge there.
Snap of Board: https://drive.google.com/file/d/15vHA...
In this video tutorial, we solve Example 3.7 from DJ Griffiths' Electrodynamics textbook, focusing on the application of separation of variables in spherical polar coordinates. The problem involves determining the potential outside a charged sphere when there's no charge present. Watch as we step through the solution, explaining the mathematical approach and key concepts along the way."
"Electrodynamics Example 3.7"
"Separation of variables"
"Spherical polar coordinates"
"DJ Griffiths"
"Potential outside charged sphere"
"Electrodynamics tutorial"
"Charged sphere potential"
"Electromagnetic theory"
"Physics example solution"
"Griffiths textbook"
Watch video L30.1 Separation of variables - spherical polar coordinates - Example 3.7 online without registration, duration hours minute second in high quality. This video was added by user SAYPhysics 03 April 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 753 once and liked it 15 people.