# Charge on Surface with Sharp Features

• nishant
In summary, the conversation discusses the relationship between charge density and electric field near sharp features on a metallic surface. It is noted that if a gaussian sphere is placed coinciding with the sharp points, the electric field at all points equidistant from the center will be the same, contrary to the expected maximum electric field near the sharp points. A diagram is suggested to better understand the problem.
nishant
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}

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

## 1. What is the effect of sharp features on the charge distribution on a surface?

Sharp features, such as corners or edges, can significantly impact the charge distribution on a surface. This is because the electric field is strongest at sharp points, causing an accumulation or depletion of charge in those areas.

## 2. How does the shape of a surface affect the charge distribution?

The shape of a surface can greatly influence the charge distribution. For example, a curved surface will have a more uniform charge distribution compared to a surface with sharp features, where charge will be concentrated in certain areas.

## 3. Can the charge on a surface with sharp features be controlled?

Yes, the charge on a surface with sharp features can be controlled through various methods such as applying an external electric field or using special coatings to modify the surface's properties.

## 4. How does the charge on a surface with sharp features affect its physical properties?

The charge on a surface with sharp features can affect its physical properties in a number of ways. For example, it can alter the surface's reactivity, adhesion, and even its optical properties.

## 5. What are some applications of controlling the charge on a surface with sharp features?

Controlling the charge on a surface with sharp features has numerous applications in fields such as nanotechnology, microelectronics, and biotechnology. Some examples include creating efficient solar cells, improving drug delivery systems, and developing new types of sensors.

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