Electric field due to non uniformly charged spherical shell

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SUMMARY

The discussion focuses on calculating the electric field due to a non-uniformly charged spherical shell with a volume charge density defined as ρ = -kr. Participants emphasize the application of Gauss's Law to determine the electric field, noting that due to azimuthal symmetry, the electric field (E) can be treated as constant over the differential area (dA). The integration over the volume of the sphere is necessary to find the total charge enclosed, which simplifies the calculation of the electric field.

PREREQUISITES
  • Understanding of Gauss's Law
  • Knowledge of electric field concepts
  • Familiarity with volume charge density
  • Basic integration techniques in calculus
NEXT STEPS
  • Study the derivation of electric fields using Gauss's Law
  • Learn about non-uniform charge distributions
  • Explore the concept of azimuthal symmetry in electric fields
  • Practice integrating charge densities over spherical volumes
USEFUL FOR

Physics students, electrical engineers, and anyone studying electrostatics and electric field calculations.

lavesh
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The volume charge density of spherical shell varies as ρ=-kr.If we have to calculate electric filed using gauss's law, can we treat as E. dA as E(dA) as there is azimuthal symmitry



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The Attempt at a Solution

 
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You want to integrate over the volume of the sphere to find the total charge enclosed. Then from there it's simple to find the electric field using Gauss's law.
 

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