# Finding the electric field of following setup

• brainslush
In summary, an electric field is a vector field created by electrically charged particles that describes the influence of a charge on other charges. It can be found by calculating the force on a unit charge using Coulomb's law. The strength of an electric field is affected by the magnitude and distance of the charges, as well as the presence of other charges. The direction of an electric field is determined by the movement of a positive test charge and always points away from positive charges and towards negative charges. Real-life applications of finding the electric field include designing electronic devices, studying natural phenomena, and analyzing interactions between charged particles.
brainslush

## Homework Statement

Assume two perpendicular planes one with charge density $\sigma$ and the other with a charge density $2\sigma$. Find the electric field.

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$\sigma$ |
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//|////// $2\sigma$///////////////
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## The Attempt at a Solution

I got a question. Can I assume that the planes are infinitly long, specially close to the origin? In such a case, I could apply the Gaus-law.

Last edited:
Hi brainslush. By definition a plane is of infinite extent. If you know the result for the field due to an infinite plane of a given charge density, then you're (almost literally) halfway there!

## 1. What is an electric field?

An electric field is a physical field that is created by electrically charged particles, such as protons and electrons. It is a vector field, meaning it has both magnitude and direction, and it describes the influence that a charge has on other charges in its vicinity.

## 2. How do you find the electric field of a setup?

The electric field of a setup can be found by calculating the force that a unit charge would experience at different points in the setup. This can be done using Coulomb's law, which states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

## 3. What factors affect the strength of an electric field?

The strength of an electric field depends on the magnitude of the charges involved and the distance between them. It also depends on the presence of other charges in the vicinity, as they can either attract or repel each other and thus affect the overall electric field.

## 4. How is the direction of an electric field determined?

The direction of an electric field is determined by the direction that a positive test charge would move if placed at a specific point in the field. The field lines always point away from positive charges and towards negative charges.

## 5. What are some real-life applications of finding the electric field of a setup?

Some common applications of finding the electric field of a setup include designing and optimizing electronic devices, understanding the behavior of lightning and other natural phenomena, and studying the interactions between charged particles in atomic and molecular systems.

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