Electrostatic force between point charge and dielectric ball.

AI Thread Summary
Doubling the point charge q near a dielectric ball raises questions about the electrostatic force acting on the ball. While the initial formula suggests no force due to the ball's resultant charge being zero, the presence of the point charge can induce polarization in the dielectric. This polarization would result in an effective charge on the dielectric ball, leading to an electrostatic force. The discussion indicates that the force could potentially double or even more than double due to increased polarization. A thorough analysis would involve calculating the electric fields inside and outside the dielectric and applying the stress tensor to determine the force accurately.
dark_vader93
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At a certain distance from a point charge q there is small, dielectric
ball. How would change the value of electrostatic force
acting on the ball, if the value of a point charge would be doubled?
According to F=k[(q1*q1)/r^2] there would be no force on the dielectric ball, because his resultant charge is 0. Is it so? Please hint.
 
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Are you sure that the dielectric ball won't be polarized in the presence of the charge?
 
Truth. So the force would double, wouldn't it?
 
I would think that doubling the charge would proportionately increase the polarization of the sphere. I would suspect, based off intuition, that the force would more than double.

A full treatment of the problem should be that you find the E fields outside and inside the dielectric ball, and then use stress tensor to get F=TdA. What level of E&M are you in?
 
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