Quick question, eletric field of a conducting sheet of charges

In summary, the electric field of a conducting sheet of charges extends to the surface on both sides, but the field exactly at the surface is zero. This is the same for an insulator or dielectric material. However, a thick insulating sheet with a uniform charge may have the charge distributed through its thickness, which is not possible for a conductor. It is important to remember that these examples are idealized and should not be used to draw general conclusions.
  • #1
kougou
82
0
Hi

one quick question about the electric field of a conducting sheet of charges.

When you given a horizontal sheet of conductor with uniform distributed charge on its surface,will there be any electric field on the top AND on the bottom of the sheet?

How is that different from a horizontal sheet of insulator (or dieletric material) consist of uniform surface charge? The eletric field will also be on the top AND the bottom of the sheet?
 
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  • #2
The electric field extends to the surface of the sheet on both sides - where, classically, it stops. The electric field exactly at the surface is zero though.

It is no different from the exact same distribution of charge across an insulator or a dielectric. Field lines start (or end) on charges.

However, a thick insulating sheet with a "uniform charge" may have the charge distributed uniformly through it's thickness - an option not available for a conductor - which has to carry all it's charge on it's surface.

Bear in mind that these are idealized teaching examples designed to get you used to using the math. It's a good idea not to draw very general conclusions from them.
 

1. What is the formula for calculating the electric field of a conducting sheet of charges?

The formula for calculating the electric field of a conducting sheet of charges is E = σ/2ε0, where σ is the surface charge density and ε0 is the permittivity of free space.

2. How do you determine the direction of the electric field of a conducting sheet of charges?

The direction of the electric field is perpendicular to the sheet of charges and points away from the positively charged side of the sheet and towards the negatively charged side.

3. Can the electric field of a conducting sheet of charges be negative?

No, the electric field of a conducting sheet of charges can only be positive or zero. This is because the electric field lines always point away from positive charges and towards negative charges.

4. How does the electric field of a conducting sheet of charges change as you move away from the sheet?

The electric field of a conducting sheet of charges decreases as you move away from the sheet. This is because the electric field strength is inversely proportional to the distance from the source of the field.

5. Can the electric field of a conducting sheet of charges be affected by external electric fields?

Yes, the electric field of a conducting sheet of charges can be affected by external electric fields. The charges on the sheet will redistribute in response to the external field, resulting in a change in the electric field of the sheet.

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