Distribution of charge on two spheres

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Homework Help Overview

The discussion revolves around the distribution of charge on two spheres and the resulting forces between them, focusing on the implications of charge allocation and the effects of induced charges.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants explore the idea of allocating all charge to one sphere and question the resulting forces, including gravitational and electric interactions. There are discussions about the effects of induced charges and whether different charge distributions could lead to greater attraction.

Discussion Status

The conversation is ongoing, with participants offering various perspectives on charge distribution and its implications. Some guidance is provided regarding the nature of induced charges, but no consensus has been reached on the optimal charge configuration.

Contextual Notes

There is mention of specific conditions (d >> R) that may allow for neglecting induced charges, but the implications of this assumption are still under discussion.

Vibhor
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Homework Statement



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Homework Equations

The Attempt at a Solution



I believe the entire charge Q has to be given to any of the sphere such that one charge is neutral ,while the other has charge Q . In this way there would be no electric force between the two spheres and only attractive force between them would be gravitational .

Is my answer as well as my reasoning correct ?

Many Thanks
 

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You would still get an induced charge distribution on the uncharged sphere, which leads to a small attraction (but still much larger than the gravitational attraction for typical setups).

The question is weird. It would be a nice question if it would ask for maximal repulsion.
 
I think we have been given condition (d > > R) so that we could neglect the effect of induced charges . I am not entirely sure .

Do you believe that there is a possibility that force of attraction could be greater if charges were distributed differently i.e by not giving complete charge to one of the spheres ?
 
Last edited:
I don't see how. You can cheat and add +2 Q on one sphere and -1 Q on the other (sum: Q), but I doubt that's the intended solution. It also would mean there is no well-defined maximum.
 

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