Describe Charge Distribution on Spheres After They Touch

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Homework Help Overview

The discussion revolves around the charge distribution on two conducting spherical shells, S-Left and S-Right, after they interact with a negatively charged object and subsequently touch each other. The problem involves concepts of electrostatics, charge induction, and the behavior of conductors in electric fields.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the motion of S-Right as S-Left approaches, considering charge separation and induction effects. Questions arise about the behavior of charges after the spheres touch and whether charge separation persists once the external influence is removed.

Discussion Status

The discussion is ongoing, with participants questioning the nature of charge separation on S-Left after it is moved away from the negatively charged object. Some guidance is offered regarding the mobility of charges in conductors, but no consensus has been reached regarding the final charge distribution after the spheres touch.

Contextual Notes

Participants are considering the implications of grounding and the effects of external electric fields on charge distribution in conductors. There is uncertainty about the persistence of charge separation once the external field is removed.

opticaltempest
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I am trying to correctly understand the following problem:

Here is the setup:
I have two conducting spherical shells. We will call them S-Left and S-Right. Both spherical shells are initially grounded, therefore, they have no net charge w.r.t. Earth. S-Right is hanging from a string. S-Left is brought near a strong negatively charged object for a few seconds and then moved away. The side of S-Left that was brought near the negatively charged object is then slowly brought near S-Right until they both touch.

1. Describe the motion of S-Right as S-Left approaches.

My summary: S-Left still has no net charge but it does have charge separation due to induction. S-Left will have more positive charge on the side that is approaching S-Right. Since S-Right has no net charge and no charge separation, it will be attracted towards S-Left since electrons will move toward the side facing the approaching S-Left. The electrons will move towards the side nearest S-Left because S-Right feels the effects from the positive charges on S-Left more than the negative charges on S-Left due to negative charges being farther away on the other side of S-Left sphere.

2. Describe the motion of S-Right after the two spheres touch and S-Left is held in place.

My summary: I'm not sure. Neither spheres have a net charge but S-Left has charge separation. Do the electrons in both spheres evenly distribute between both spheres and remove the induced charge on S-Left? If this happened then both spheres will simply stay in the position at which they touched. Correct?

Is my answer for 1. correct?
 
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opticaltempest said:
S-Left is brought near a strong negatively charged object for a few seconds and then moved away./QUOTE]

Given this sentence in the statement and that the spheres are conductors, can you explain to me why S-Left would have charge separation?
 
Would S-Left not have any charge separation?

S-Left would have to have some separation of charge when it is near the large negative charge - correct? Am I incorrect in assuming that the charge separation stays on S-Left when it is moved away from the large negative charge?
 
The charges in a conductor are mobile. They won't maintain any separation w/o an external field.
 

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