Print ViewCalculating Flux for Hemispheres of Different Radii

  • Thread starter Thread starter dark_omen
  • Start date Start date
  • Tags Tags
    Flux
Click For Summary
SUMMARY

The discussion focuses on calculating the electric flux through the annular ring of two hemispheres with different radii, denoted as r_1 and r_2, using the equation flux = |E||dA|cos(theta). The electric field E is defined as E(r) = C/r^2, where C is a constant proportional to charge. Participants emphasize the importance of determining the area of the annular ring to simplify the calculation by canceling out the radius. The problem requires a solid understanding of electric fields and flux calculations.

PREREQUISITES
  • Understanding of electric fields and flux calculations
  • Familiarity with the equation flux = |E||dA|cos(theta)
  • Knowledge of area calculations for annular surfaces
  • Basic grasp of constants in physics, specifically charge-related constants
NEXT STEPS
  • Study the derivation of electric field equations, particularly E(r) = C/r^2
  • Learn how to calculate the area of annular surfaces in physics
  • Explore advanced applications of Gauss's Law in calculating flux
  • Review examples of flux calculations in different geometrical configurations
USEFUL FOR

Students in physics, particularly those studying electromagnetism, educators teaching electric fields, and anyone involved in solving problems related to electric flux and surface integrals.

dark_omen
Messages
9
Reaction score
0
Calculating Flux for Hemispheres of Different Radii

Homework Statement


Calculating Flux for Hemispheres of Different Radii.
There are two hemispheres and I have to find the flux through the annular ring of surface 1, 2, and 3 in terms of C (a constant proportional to a charge) and two radii r_1 and r_2.
Here is a diagram of this http://img233.imageshack.us/img233/5523/hemsp1tw8.gif

Homework Equations


flux = |E||dA|cos(theta)
E(r)=C/r^2 r_hat
These are the equations that are given in the problem.

The Attempt at a Solution


I really have know idea where to go with this problem. I know it just has to be the equation, but I don't know how to set it. If anyone has any strategies to solving this problem that would be great.
Thanks.
 
Last edited by a moderator:
Physics news on Phys.org
I am probably too late but


You have E = C/r^2
You have flux = E*A

Once you find your area, you can cancel the radius out
 

Similar threads

Electric Flux of Two Hemispheres with different radii
  • · Replies 1 ·
Replies
1
Views
5K
Electric field & force due to charged insulating hemispherical shells
  • · Replies 12 ·
Replies
12
Views
2K
Electric flux through a hemisphere due to these charge configurations
  • · Replies 51 ·
2
Replies
51
Views
7K
Manually integrating to find flux through hemisphere
  • · Replies 8 ·
Replies
8
Views
2K
Calculate the flux through the surface?
  • · Replies 14 ·
Replies
14
Views
9K
Electric Flux through Cubical Surface Enclosing Sphere
  • · Replies 2 ·
Replies
2
Views
4K
Converting Area to Volume: A Spherical Coordinate Approach
  • · Replies 2 ·
Replies
2
Views
4K
Calculating electric flux when given a charge (Gauss)
  • · Replies 14 ·
Replies
14
Views
2K
Electric Flux through the Face of a Cube
  • · Replies 17 ·
Replies
17
Views
9K
How Does Electric Flux Differ Across a Hemispherical Surface?
  • · Replies 5 ·
Replies
5
Views
9K