Calculation of potential of an grounded sphere ball with charges

AI Thread Summary
The discussion revolves around calculating the electric potential outside a grounded conductor sphere with a point charge inside its cavity. The user initially concludes that the electric field and potential are zero based on Gauss's law but questions this outcome due to subsequent related questions. There is a request for clarification on the mistake in their reasoning or figure. The conversation highlights the complexities of grounding and charge distribution in conductors. Understanding the implications of grounding on electric potential is crucial for solving the problem correctly.
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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