What is the Surface Charge Density for a Spherical Cavity?

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SUMMARY

The discussion revolves around calculating the surface charge density for a spherical cavity with an excess charge of 1.5 x 10-7 Coulombs and an inner radius of 1.5 cm. The surface charge density is defined as the charge divided by the area of the inner sphere. The participants clarify that if the sphere is a good conductor, there would be no charge on the inner surface, raising the question of whether the sphere is insulating or conducting.

PREREQUISITES
  • Understanding of electrostatics and charge distribution
  • Familiarity with the concept of surface charge density
  • Knowledge of the geometry of spheres
  • Basic principles of conductors and insulators in electrostatics
NEXT STEPS
  • Study the derivation of surface charge density formulas in electrostatics
  • Explore the differences between conducting and insulating materials in electrostatic contexts
  • Learn about Gauss's Law and its application to spherical charge distributions
  • Investigate the implications of charge distribution in spherical cavities
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding charge distribution in spherical geometries.

Clancy
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Homework Statement



A sphere with excess charge of 1.5 x10 -7 Coulombs, An outer radius of 2.5cm and inner radius of 1.5 cm ( a cavity ). The question is to find the surface charge density on the inside surface.

I'm totally at a loss on this one and couldn't find how to solve it.

Homework Equations



Well surface charge density would be C/area of inner sphere.

The Attempt at a Solution



I couldn't at all figure out how this is done and didnt fiond anythig on it in HRW any help please?
 
Physics news on Phys.org
If the sphere is made of good conductor, there will be no charge on the inner surface of the sphere.
 
Is this an insulating sphere or a conducting sphere?
 

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