How do I determine the energy of a charge at infinity?

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    Electrostatics
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Homework Help Overview

The problem involves eight equal point charges positioned at the corners of a cube, with a focus on determining the speed of a charge when it is released from one corner and moves to infinity. The subject area pertains to electrostatics and energy conservation principles.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the initial and final configurations of the charges and the application of energy conservation principles. Questions are raised about how to express kinetic and potential energies in this context, as well as how to define the potential energy at infinity.

Discussion Status

Some participants have provided guidance on using energy conservation to relate the initial and final states of the system. There is an ongoing exploration of how to define potential energy at infinity, with multiple interpretations being considered.

Contextual Notes

Participants are navigating the definitions of potential energy and the implications of moving charges in an electric field, particularly in relation to a dielectric medium. There is a noted lack of consensus on how to approach the problem fully.

Rajat jaiswal
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Friends,
I am not being able to solve the following problem i would be grateful if anyone could help me out.
here is the problem:
eight equal point charges each of charge q and mass m are placed at eight corners of a cube of side a.
if keeping all other charges fixed a charge at a single corner is released then find out the speed when it is at infinite distance.
even advices on how to proceed would help.
Thank you.
 
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Your initial configuration is 8 charges assembled at the corners of a cube. Your final configuration is seven charges at the corners of a cube and one charge at infinity with some kinetic energy. Energy conservation says

Kinitial+Uinitial = Kfinal+Ufinal

Replace each of the four symbols above with appropriate expressions.
 
Thanks a lot,
could you please explain me how to find out the energy of the charge at infinity.
Also can anyone explain me the effect of electric field on a dielectric(non- conducting) medium .
 
Rajat jaiswal said:
Thanks a lot,
could you please explain me how to find out the energy of the charge at infinity.

It's usually easiest to define the potential energy at infinity to be zero.
 

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