Calculation of potential of an grounded sphere ball with charges

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SUMMARY

The discussion focuses on calculating the electric potential outside a grounded conductor sphere with a radius R and a point charge Q1 located inside a cavity. The participant initially concludes that both the electric field and potential are zero based on Gauss's law, but questions the validity of this conclusion due to subsequent related questions. The need for clarification on the electric potential and charge distribution on the conductor is emphasized, indicating a misunderstanding of grounding effects in electrostatics.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Knowledge of electric potential concepts
  • Familiarity with grounded conductors and their properties
  • Basic principles of charge distribution in conductors
NEXT STEPS
  • Study the effects of grounding on electric potential in conductors
  • Learn about the method of images for solving electrostatic problems
  • Explore the relationship between electric field and potential in electrostatics
  • Investigate charge distribution on conductors with internal charges
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding the behavior of electric fields and potentials in grounded conductors.

henry407
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Homework Statement


Consider an originally neutral conductor sphere of radius R with a cavity and a point charge Q1 inside the cavity.
(a)The conductor is grounded. Find the electric potential outside the conductor and the total charge on the conductor.

Homework Equations



The Attempt at a Solution


As shown on the figure I draw, I conclude that the E-field and the potential is zero by gauss law. Somehow, I think that is not possible as this question is followed up by 3 other questions which related to its potential. I hope someone could point out the mistake of the figure. Thanks a lot~
 

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