Force on a sphere in a constant external electric field

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SUMMARY

The discussion centers on calculating the force exerted on an uncharged solid sphere placed in a constant external electric field (E0). Participants clarify that the force can be derived from the induced dipole moment created by the electric field, rather than directly using the formula F = q*E, as q represents the induced charge on the sphere. The induced dipole leads to a net force on the sphere, which is influenced by the uniformity of the electric field around it. The conversation emphasizes the importance of understanding charge separation and dipole formation in this context.

PREREQUISITES
  • Understanding of electric fields and potentials
  • Knowledge of induced charge and dipole moments
  • Familiarity with the concept of force in electrostatics
  • Basic principles of charge separation in external fields
NEXT STEPS
  • Study the concept of induced dipoles in electric fields
  • Learn about the force on dipoles in external electric fields
  • Explore the mathematical derivation of force on a charged object in an electric field
  • Investigate the effects of non-uniform electric fields on charged objects
USEFUL FOR

Students and educators in physics, particularly those focusing on electrostatics, as well as researchers exploring the behavior of objects in electric fields.

captain.joco
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Homework Statement


An uncharged solid sphere is paced in a constant external electric field E0. What is the force on the sphere?


Homework Equations





The Attempt at a Solution


I know ( already have found ) the electric potential and electric field around the sphere. Also worked out the surface charged density. I don't know how to calculate the force..Any help please?
 
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Isn't F = q*E ?
 
It seemed too simple somehow... Is q the induced charge on the sphere, and E the electric field close to the sphere??

Thank you for your help
 
captain.joco said:
It seemed too simple somehow... Is q the induced charge on the sphere, and E the electric field close to the sphere??

Thank you for your help

If there is charge separation, what will the net force be?
 
Got it! Thanks a lot for the help!
 
This is the exact question i was looking for help with and still not sure of what the next step is.

I know the uniform E-field causes the sphere to gain an induced dipole. From this how do you get the force? Is it ok to just assume the E-field remains uniform.. this can't be right as there would then be no force and seems there must be a force from the way the question is worded.
 

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