Where Does a Charged Sphere's Potential Equal a Point Charge's?

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SUMMARY

The potential due to a uniformly charged sphere is equivalent to that of a point charge in the region outside the sphere, as the electric field exhibits spherical symmetry. Conversely, within the sphere, the potential differs from that of a point charge due to the non-symmetric electric field influenced by the charge distribution. Understanding these distinctions is crucial for grasping concepts in electronic potential and electric energy.

PREREQUISITES
  • Understanding of electric fields and potentials
  • Familiarity with the concept of charge distribution
  • Basic knowledge of spherical symmetry in physics
  • Foundational principles of electrostatics
NEXT STEPS
  • Study the principles of electric fields in spherical coordinates
  • Explore the concept of electric potential energy in electrostatics
  • Learn about Gauss's Law and its applications to charged spheres
  • Investigate the differences between point charges and distributed charges
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Students in electronics engineering, physics enthusiasts, and anyone studying electrostatics and electric potential concepts.

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Need some help on this question. My first year electronics engineering technology.
CH. Electronic Potential and Electric Energy

In what region of space is the potential due to a uniformly charged sphere the same as that of a point charge? In what region does it differ from that of a point charge?

Thank you for your help.
 
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any region outside the sphere it is the same as a point charge so maybe you can guess the other.
 


The potential due to a uniformly charged sphere is the same as that of a point charge in the region outside the sphere. This is because the electric field outside the sphere is spherically symmetric and can be treated as a point charge at the center of the sphere.

However, in the region inside the sphere, the potential differs from that of a point charge. This is because the electric field inside the sphere is not spherically symmetric and is affected by the distribution of charge within the sphere. Therefore, the potential in this region is affected by the size and shape of the sphere.

I hope this helps with your understanding of electronic potential and electric energy. If you need further clarification, don't hesitate to ask for more assistance. Best of luck in your studies!
 

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