Electric field of a spherical cap

Click For Summary
SUMMARY

The discussion focuses on calculating the electric field generated by a uniformly charged spherical cap, specifically seeking the potential inside the sphere. The user requests assistance in deriving the necessary integral for this calculation. The solution involves the application of Legendre polynomials, which are essential for representing the electric potential in this context. A reference to a detailed solution is provided, highlighting the importance of these mathematical tools in electrostatics.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with Legendre polynomials
  • Knowledge of integral calculus
  • Basic concepts of electric potential and fields
NEXT STEPS
  • Study the application of Legendre polynomials in electrostatics
  • Learn how to derive electric potential from charge distributions
  • Explore integral calculus techniques for solving electrostatic problems
  • Review the specific solution provided in the Jackson textbook for similar problems
USEFUL FOR

Physics students, electrical engineers, and researchers interested in electrostatics and potential theory will benefit from this discussion.

Gavroy
Messages
232
Reaction score
0
Hi

I am looking for the electric field caused by a uniformly charged spherical cap.
Actually, I need only the potential inside the sphere. Is there anybody who knows how to do this. Frankly, I do not have a clue. Or could somebody at least give me integral, that I have to solve?
 
Physics news on Phys.org
You can find the solution here: http://faculty.uml.edu/cbaird/all_homework_solutions/Jackson_3_2_Homework_Solution.pdf . Apparently one needs Legendre polynomials to represent the solution.
 

Similar threads

Undergrad Electric field inside & outside of a spherical shell
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Electric field is zero in the center of a spherical conductor
  • · Replies 44 ·
2
Replies
44
Views
5K
Graduate Exploring the Electric Field of a Moving Charged Spherical Shell
  • · Replies 14 ·
Replies
14
Views
3K
Undergrad Average field inside spherical shell of charge
  • · Replies 3 ·
Replies
3
Views
1K
High School Electric Fields inside Conductors & Gauss' Law
  • · Replies 7 ·
Replies
7
Views
1K
Undergrad Electric Field & Interplay between Coordinate Systems | DJ Griffiths
  • · Replies 8 ·
Replies
8
Views
2K
High School Electric Field Inside a Hollow Sphere
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Electric Field of Uniformly Charged Infinite Plane
  • · Replies 6 ·
Replies
6
Views
569
Undergrad How is Potential Difference Created across a Resistor?
  • · Replies 21 ·
Replies
21
Views
4K
Undergrad Electric field of ring at any point
  • · Replies 2 ·
Replies
2
Views
2K