Electric Field Inside a Conducting Sphere: Is it Always Zero?

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The electric field inside a conducting sphere is always zero, regardless of the presence of charges on its surface. This occurs because charges redistribute themselves on the surface of the conductor, creating an electric field that cancels any internal field. The conducting nature of the sphere ensures that any excess charge resides on the outer surface, maintaining zero electric field within. This principle is fundamental in electrostatics and is crucial for solving related homework problems. Understanding this concept is essential for grasping the behavior of electric fields in conductors.
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Homework Statement
What is the electric field inside sphere with negative charges distributed on the sphere.
Relevant Equations
no eqns
Is the electric field inside a sphere always 0? Even if we have charges on the surface?
 

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This is a homework question. What is your thinking about the choices you have? The fact that this sphere is conducting is important to the answer.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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