Spherical conductor with point charge not in center

Nosegum
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Homework Statement


How do the charges distribute when I have a spherical conductor centered cavity with a point charge not in center inside the cavity?

See image:
36788.jpg


Homework Equations


N/A

The Attempt at a Solution


I would guess solution 1, but my tutor says it's 4, and I just can't believe him. Should I?
 
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Question: what is a conductor?

(that may help you)
 
It does not help me. I have been studying this a lot and have kind of made up my mind on 1. I guess my real problem is that I'm wondering about if my tutor should be teaching physics...

Anyway, how would the electric field be between the charge and the conductor? My tutor says zero, but that does not obey Gauss' law, so I don't believe that either.
 
The question is not what the electric field is between the charge and the conductor. You are asked how the charge is distributed in the conductor. If you read the definition of conductor, you'll see why 4. is the right answer (think about equipotential surface).
 
I'd have answered 1 too. Certainly not 4.
I wonder what the experienced guys think.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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