Why dont integrate all electric fields in a sphere?

Click For Summary
SUMMARY

The discussion centers on the application of Gauss's Law in determining electric fields within a sphere with a volumetric charge distribution exhibiting spherical symmetry. The electric field is defined as E=3AB*r*e^(-1.5Br^2). It is established that integrating the electric fields from 0 to R is unnecessary because the resultant electric field inside the sphere is zero, confirming the effectiveness of using only the external field for calculations.

PREREQUISITES
  • Understanding of Gauss's Law
  • Familiarity with electric field equations
  • Knowledge of spherical symmetry in charge distributions
  • Basic calculus for integration concepts
NEXT STEPS
  • Study the implications of Gauss's Law in electrostatics
  • Explore electric field calculations for different charge distributions
  • Learn about volumetric charge distributions and their effects on electric fields
  • Investigate advanced topics in electrostatics, such as potential energy in electric fields
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electrostatics and electric field analysis.

axcelenator
Messages
33
Reaction score
0
If volumetric charge distribution has spherical symmetry
I want to find the trapped charge a in certain radius
Why did not need to do an integral from 0 to R to all the electric fields inside the sphere but take only the external field(how gauss law says)?

The Electric fiels is: E=3AB*r*e^(-1.5Br^2)
 
Physics news on Phys.org
You could do that, it's just that the result for the field inside the radius is zero.
 

Similar threads

Conducting Sphere and Dipole Problem
  • · Replies 5 ·
Replies
5
Views
1K
Electric field of a neutral conductor just at the surface
  • · Replies 4 ·
Replies
4
Views
2K
Maxwell's Equations: How E and B Fields Interact
  • · Replies 6 ·
Replies
6
Views
3K
[Griffiths ex4.2] Electric field of a uniformly polarized sphere
  • · Replies 4 ·
Replies
4
Views
5K
Potential difference defined in non-conservative electric field
  • · Replies 12 ·
Replies
12
Views
2K
Electric field of an infinitely long wire with radius R
  • · Replies 5 ·
Replies
5
Views
2K
Electric field a distance z from the center of a spherical surface
  • · Replies 26 ·
Replies
26
Views
6K
Electrostatic field of a sphere
  • · Replies 2 ·
Replies
2
Views
1K
Find the electric field of a point outside sphere
  • · Replies 3 ·
Replies
3
Views
2K
Electric field of a spherical conductor with a dipole in the center
  • · Replies 4 ·
Replies
4
Views
5K