Uniform distribution of charge on a plane and on a bar: conditions to

AI Thread Summary
The discussion focuses on calculating the electrostatic forces acting on a uniformly charged bar positioned near a plane with a constant superficial charge distribution. It questions whether the total charge of the bar can be treated as a point charge located at its midpoint for simplification in calculations. The feasibility of this approach depends on the electric field generated by the charged plane, which influences the forces acting on the bar. Participants emphasize the importance of understanding the electric field's characteristics to accurately determine the constraints and forces required to stabilize the bar. Overall, the analysis hinges on the interaction between the bar's charge and the electric field produced by the plane.
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On the plane z=0 there is a superficial charge distribution such that \sigma is constant.

Near to the plane, there is a bar, charged uniform with total charge q. At the extremities the bar has two constraints, so it can't turn.

If I want to find the constraints force and the force momentum needed to block the bar, can I consider the charge q as puntiform and put it in the midpoint of the bar?
 
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so, you want to find the total electrostatic force on the bar. And you want to know if it is OK to simply calculate the force which would act on a single charge q in the centre of the bar. Well generally, this depends on the electric field which is acting on the bar. What can you say about the electric field created by the plane?
 

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