L31.1 Multipole expansion: Approximate potential at large distances - Example 3.10 P-I
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00:00 - Introduction to Multipole Expansion
00:07 - What Happens at Large Distances?
00:16 - Understanding the Potential at Large Distances
00:27 - Geometry and Behavior of Charge Distributions
00:39 - Comparing Monopoles, Dipoles, and Quadrupoles
00:52 - Extending to Higher-Order Multipoles
01:06 - Application of Multipole Expansion
01:24 - Example 3.10: Electric Dipole
01:40 - Geometry of the Dipole
02:01 - Mathematical Representation of Dipole Potential
02:27 - Applying Geometry to the Potential Formula
03:05 - Law of Cosines for Dipole Geometry
03:37 - Final Formula for Dipole Potential
04:06 - Resolving R Plus and R Minus Distances
04:33 - Understanding the Angle Involvement
04:58 - Simplifying the Potential Formula
05:24 - Final Expression for Dipole Potential
05:50 - Conclusion of Example 3.10
Example 3.10
A (physical) electric dipole consists of two equal and opposite charges (±q) separated by a distance d. Find the approximate potential at points far from the dipole.
Multipole expansion in this detailed lecture on Example 3.10, focusing on the approximate potential at large distances. Whether you're a physics student or an enthusiast, this video will help you understand the complex concepts of multipole expansion with clarity. Join us as we delve deep into the mathematics and physics behind this important topic.
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