Electric field conductor question

AI Thread Summary
The discussion revolves around calculating the force exerted by one hemisphere of a charged metal sphere on the other. It is noted that while the electric field inside a conductor is zero, leading to a net force of zero, the force between the hemispheres is not zero due to their interaction. The forces exerted by the two hemispheres are equal and opposite, resulting in a balanced system. To accurately determine the force, calculus is required for the calculations. The conversation highlights the complexity of the problem despite the initial assumption of zero force.
lianghongjian
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Please help me.

Homework Statement


Consider a metal sphere of radius R that has a total charge of Q. What is the force on one hemisphere by the other?



Homework Equations



F=E/q

The Attempt at a Solution


I thought the Electric field inside a conductor should be 0, therefore the force is also 0?
But it should not be this simple could somebody explain it to me.
 
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electric field inside the conductor is zero, yes. That means total net force should be zero as well. but the force asked is that by the hemisphere (the part of the same sphere).
Net force is zero because both hemisphere exert equal but opposite force.

You would need calculus to solve the problem(calculate the value of force).
if the sphere is hollow, you can follow this post by hikaru1221

https://www.physicsforums.com/showpost.php?p=2913313&postcount=11
 

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