Calculating Potential and Electric Field Between Concentric Spherical Shells

  • Thread starter Thread starter needhelpinEMT
  • Start date Start date
  • Tags Tags
    Electrodynamics
Click For Summary
SUMMARY

The discussion focuses on calculating the potential and electric field between two concentric spherical shells with radii R1 and R2, where R2 > R1, and potentials V1 and V2. The charge on the inner shell is derived as q1 = -4πε((R1*R2)/(R2-R1))(V2-V1). To find the potential in the region between the shells, the potential function V(r) is expressed as V(r) = A + B/r, where A and B are constants determined by boundary conditions. The electric field is then calculated using the relation E = -∇V.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with spherical coordinates and Laplace's equation
  • Knowledge of boundary value problems in electrostatics
  • Proficiency in calculus, particularly gradient operations
NEXT STEPS
  • Study the derivation of electric fields from potentials in electrostatics
  • Learn about boundary conditions in potential problems
  • Explore the application of Laplace's equation in spherical coordinates
  • Investigate the relationship between charge distribution and electric field strength
USEFUL FOR

Students and professionals in physics, particularly those specializing in electromagnetism, as well as electrical engineers working on electrostatic applications.

needhelpinEMT
Messages
3
Reaction score
0
Consider two concentric spherical shells of radii R1 and R2 (R2>R1 ) which are
maintained at potentials V1 and V2. Find the potential and the electric field in the
region between the two shells, and show that the charge on the inner shell is given by

q1= -4 pi epsilon((R1*R2)/(R2-R1))(V2-V1)
What is the charge on the outer shell?
 
Physics news on Phys.org
You have to show your work in order to receive help. Forum rules.
 
ok sorry, I think if you take the laplace of potential= 0 you can find the potential in that region but my professor wants the boundary conditions of the potential
V(r)= A+B/r where A and B are constants I know once you find the potential you use the relation E=-grad(V) where V is the potential. I just need to find the potential. Quasar if you could help that would be great!
 

Similar threads

Replies
5
Views
1K
Replies
1
Views
3K
Replies
9
Views
2K
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
Replies
4
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K