Charge on Surface with Sharp Features

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SUMMARY

The discussion centers on the behavior of electric fields around a metallic surface with sharp features when charge is placed inside. It is established that the surface remains equipotential, resulting in maximum charge density at the sharp points, which in turn leads to a maximum electric field just outside these points. However, a Gaussian surface drawn coinciding with these sharp points reveals that the electric field remains uniform at equidistant points from the center, contradicting the expected maximum field near the sharp features. The conversation emphasizes the importance of symmetry in modeling such surfaces.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with Gaussian surfaces and their applications
  • Knowledge of equipotential surfaces in metallic conductors
  • Basic skills in sketching geometric shapes and curves
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  • Study the principles of electric field distribution around conductors
  • Learn about Gaussian law and its implications in electrostatics
  • Explore the effects of surface geometry on electric field strength
  • Investigate the relationship between charge density and electric field intensity
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Students and professionals in physics, particularly those focusing on electrostatics, electrical engineers, and anyone interested in the effects of surface geometry on electric fields.

nishant
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take a randomly drawn surface,put some charge inside it,this surface should be having some sharp features.if this thing is a metallic surface then it 's surace will be equipotential,due to this charge density on the sharp points will be the maximum,therefore electric field just outside this surace near the sharp points will be the maximum.But now if we take a gaussian sphere with the charge in it such that this gaussian surface coincides with the sharp points then the electric field at all points equidistant from the centre of the gausian sphere will be the same which does not coincide with the above result that the e.f shpuld be maximum near the sharp points.{NOTE:try to take a symmytric shape having symmytric sharp points while drawing the random model}
 
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i'll appreciate if somebdy answers this
 
Draw some picture, instead of talking...can not understand the problem and the solution you are posing...
 
see I don't know how to draw a picture in this box so I will give u a region which is same as the diagram I want to convey
a^2y^2=x^2{a^2-x^2} and thein the second curve replace x by y and vice versa.
the circle may be given by x^2+y^2=a^2
 

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