Electrostatic force between point charge and dielectric ball.

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Discussion Overview

The discussion revolves around the electrostatic force between a point charge and a dielectric ball, specifically examining how changes in the charge affect the force experienced by the dielectric. The scope includes theoretical considerations of electrostatics and the behavior of dielectrics in electric fields.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that if the point charge is doubled, the electrostatic force on the dielectric ball would remain zero due to its resultant charge being zero.
  • Another participant questions this assumption, proposing that the dielectric ball would indeed be polarized in the presence of the charge.
  • A third participant agrees with the idea of polarization and infers that the force would double as a result.
  • Another perspective is presented, suggesting that doubling the charge would proportionately increase the polarization of the dielectric sphere, potentially leading to a force that exceeds double the original force. This participant also mentions the need for a more comprehensive analysis involving electric fields and stress tensors.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the electrostatic force would remain zero, double, or exceed double due to polarization effects. Multiple competing views are expressed regarding the impact of the point charge on the dielectric ball.

Contextual Notes

There are unresolved assumptions regarding the nature of the dielectric material and the specific conditions under which the electrostatic interactions are analyzed. The discussion lacks a complete mathematical treatment of the problem.

Who May Find This Useful

This discussion may be of interest to students and professionals in physics, particularly those studying electrostatics, dielectrics, and electric field interactions.

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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