# How do you find the electric fields of regions between parallel infinite sheets.

In summary, to find the electric fields between parallel infinite sheets of charge, you need to use the surface charge densities of each sheet and the equation E= η/ 2ε_0. The electric field in each region is calculated by taking the difference between the surface charge densities of the neighboring sheets and dividing by 2ε_0. The electric field in region 4 is negative due to the direction of the electric field lines.

## Homework Statement

How do you find the electric fields of regions between parallel infinite sheets of charge?
The set up: 3 parallel infinite sheets of charge a,b,c from left to right.
Region 1 is to the left sheet a.
Region 2 is between sheets a and b.
Region 3 is between sheets b and c.
Region 4 is to the right of sheet c.

They only give you the surface charge densities of each sheet. Each surface charge density is different.

How do I go about finding the electric field E in regions 1,2,3 and 4?

## Homework Equations

I know the electric field of an infinite charged plane is E= η/ 2ε_0, but don't know what to do.

## The Attempt at a Solution

Lost. I tried adding the electric fields together, but that doesn't give me the correct answer.

Edit: I now have the solution.

Last edited:
The electric field in region 1 is E_1 = η_a/2ε_0, region 2 is E_2 = (η_b - η_a)/2ε_0, region 3 is E_3 = (η_c - η_b)/2ε_0 and region 4 is E_4 = -η_c/2ε_0.

## 1. How do you find the electric field between parallel infinite sheets?

To find the electric field between parallel infinite sheets, you can use Gauss's law. This law states that the electric field passing through a closed surface is equal to the charge enclosed by that surface divided by the permittivity of the medium. By applying this law, you can calculate the electric field between parallel infinite sheets.

## 2. What is the formula for calculating the electric field between parallel infinite sheets?

The formula for calculating the electric field between parallel infinite sheets is E = σ/ε, where E is the electric field, σ is the surface charge density, and ε is the permittivity of the medium.

## 3. Are there any other methods for finding the electric field between parallel infinite sheets?

Yes, you can also use Coulomb's law to calculate the electric field between parallel infinite sheets. This law states that the magnitude of the electric field between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

## 4. What are the assumptions made when finding the electric field between parallel infinite sheets?

When finding the electric field between parallel infinite sheets, it is assumed that the sheets are infinitely large and have uniform surface charge density. It is also assumed that the distance between the sheets is much smaller than the distance from any other object that could affect the electric field.

## 5. Can the electric field between parallel infinite sheets ever be zero?

Yes, the electric field between parallel infinite sheets can be zero if the surface charge density on both sheets is zero. This means that the sheets are not charged and there is no electric field between them. Additionally, if the distance between the sheets is infinite, the electric field would also be zero.

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