How can Coulomb's Law be used to find the force between a charge and a surface?

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Coulomb's Law can be applied to find the force between a charge Q and a flat surface located h meters away. The relevant formula is F = kQ²/4h², which calculates the force exerted by the surface on the charge. If the surface is a conductor, induced charges affect the calculation, necessitating the use of the method of image charges for accurate results. The discussion emphasizes the importance of understanding the nature of the surface when applying Coulomb's Law. Proper analysis techniques are crucial for solving problems involving charges and conductive surfaces.
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Homework Statement



We have a charge Q and it's h metres far from the flat surface. Find the force with which acts on the Q charge by the surface
The answer is: F=kQ2/4h2 i couldn't get it, please help me.

Homework Equations


The Attempt at a Solution

 
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shotikokobaxi said:

Homework Statement



we have a charge Q and it's h metres far from the flat surface. Find the force with which acts on the Q charge by the surface
The answer is: F=kQ2/4h2 i couldn't get it, please help me

Wow! No need to shout (Big loud font) :smile:

Welcome to Physics Forums, shotikokobaxi.

What formula(s) are appropriate here? Is the flat surface a conducting surface? If so, what analysis technique is appropriate for calculating the effects of an induced charge?
 
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gneill said:
Wow! No need to shout (Big loud font) :smile:

Welcome to Physics Forums, shotikokobaxi.

What formula(s) are appropriate here? Is the flat surface a conducting surface? If so, what analysis technique is appropriate for calculating the effects of an induced charge?

we use kulon's force F=kq2/r2 the question is to find the force with which the surface (which hasn't any charges) acts on the Q charge
 
shotikokobaxi said:
we use kulon's force F=kq2/r2 the question is to find the force with which the surface (which hasn't any charges) acts on the Q charge

Yes, that's what we call Coulomb's force law for electric charges. It is applicable, but there's a special technique which can be used for cases where one charge induces a charge in an otherwise uncharged conducting surface as you have here. Look up "the method of image charges".
 
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