# Difference between electric field intensity of plane and conducting sheet

• Sumedh
In summary, the difference between the electric field intensity of an infinite plane charged sheet and an infinite conducting charged sheet is that the E field is present on both sides of the former, while it is only present on one side of the latter. The formula for the electric field intensity of the conducting sheet can be derived using Gauss's law, which involves the pattern of charge distribution on the conductor and can be derived through direct integration.
Sumedh
what is the difference between the electric field intensity of
1)infinite plane charged sheet whose formula is
E=$\sigma$/2$\epsilon$o
and 2)infinite conducting charged sheet whose formula is
E = $\sigma$/$\epsilon$o

Last edited:
Sumedh said:
what is the difference between the electric field intensity of
1)infinite plane charged sheet whose formula is
E=$\sigma$/2$\epsilon$o
and 2)infinite conducting charged sheet whose formula is
E = $\sigma$/$\epsilon$o

Look at the top and bottom figure here:

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gausur.html#c3

One is a sheet of charge where the E field is on top and bottom. The other is where the E field is only on one side.

Zz.

How can we derive the formula for
'2)infinite conducting charged sheet whose formula is
E = σ/ϵo'
i am not cleared about the second point.
what will be the pattern of charge distribution on the conductor
and how it can be derived through direct integration?

Are you not familiar with Gauss's law?

Zz.

I am learning gauss law and is not perfect in it

Thank you very much for your valuable reply. I have got my answer after some trial and error. thank you very much.

## 1. What is the difference between electric field intensity of a plane and a conducting sheet?

The electric field intensity of a plane is the measure of the strength of the electric field at a point on a plane. This can be calculated by dividing the electric flux passing through a unit area on the plane. On the other hand, the electric field intensity of a conducting sheet is the measure of the strength of the electric field at a point on the surface of a conducting sheet. This can be calculated by dividing the surface charge density on the conducting sheet.

## 2. Are the electric field intensities of a plane and a conducting sheet dependent on the distance from the source?

Yes, the electric field intensity of a plane and a conducting sheet both depend on the distance from the source. As the distance increases, the electric field intensity decreases for both a plane and a conducting sheet. However, the rate of decrease may differ due to the different factors that affect the electric field intensity of each.

## 3. Can the electric field intensity of a plane and a conducting sheet be zero?

Yes, the electric field intensity of a plane and a conducting sheet can both be zero. This can happen if there is no charge present on the plane or conducting sheet, or if the distance from the source is infinite. In this case, there is no electric field present, resulting in an electric field intensity of zero.

## 4. How does the presence of other objects affect the electric field intensity of a plane and a conducting sheet?

The presence of other objects can affect the electric field intensity of a plane and a conducting sheet in different ways. For a plane, the presence of other objects can change the electric field distribution and thus alter the electric field intensity at different points on the plane. For a conducting sheet, the presence of other objects can affect the surface charge density, which in turn can change the electric field intensity on the surface of the conducting sheet.

## 5. What are some practical applications of understanding the difference between electric field intensity of a plane and a conducting sheet?

Understanding the difference between electric field intensity of a plane and a conducting sheet is important in various practical applications. For example, in electronics, the knowledge of electric field intensity of a conducting sheet is crucial in designing and analyzing the behavior of conductors. In telecommunications, it is important to consider the electric field intensity of a plane when designing antennas and signal transmission. Additionally, understanding the electric field intensity of a plane and a conducting sheet is also important in the study of electrostatics and electromagnetic fields.

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