[help] finding the total electric flux

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SUMMARY

The discussion centers on calculating total electric flux using Gauss's theorem, specifically in relation to electric flux density (D) and electric field (E). The user initially attempted to integrate over the volume of a sphere but was advised to integrate over surface area instead. The correct approach involves applying Gauss's theorem, which simplifies the calculation of electric flux without the need for integration.

PREREQUISITES
  • Understanding of electric flux and its relationship to electric field and charge.
  • Familiarity with Gauss's theorem and its application in electrostatics.
  • Basic knowledge of spherical coordinates and surface area integration.
  • Concept of electric flux density (D) and its significance in electromagnetism.
NEXT STEPS
  • Study Gauss's theorem in detail, focusing on its applications in calculating electric flux.
  • Learn about electric flux density (D) and its relationship to electric field (E) in various materials.
  • Explore surface area integration techniques in spherical coordinates for electrostatic problems.
  • Review examples of electric flux calculations in different geometries using Gauss's law.
USEFUL FOR

Students and professionals in physics, particularly those studying electromagnetism, as well as educators looking for practical examples of electric flux calculations.

bibo_dvd
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Hello Guys !

iam studing the electric flux and how the relationship between D ( electric flux density ) and E ( elecric field)


but i found this problem and i don't know which formula should i use to solve it to find the electric flux

i know that Q=(Psi)=the electric flux but i don't know how to use this to solve this problem

i tried to use the integration of the volume of the sphere which is r^2 sin(ceta)*dr*d(ceta)*d(phi)

but i didn't reach to the number in the solution ...I need your help !

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You don't integrate over volume, you integrate over surface area.
 
hmmm , this means that i will integrate r^2 sin(ceta) *d(ceta)*d(phi) ??
 
You don't actually perform any integration. You use Gauss's theorem thruout.
 

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