Electric field and surface charge density problem

Thread starter BREAD
Start date Mar 28, 2017
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Charge Charge density Density Electric Electric field Field Surface Surface charge density

In summary, an electric field is a force field that surrounds a charged object and exerts a force on other charged objects. It is represented by a vector quantity and is measured in units of newtons per coulomb (N/C). Electric field strength is calculated by dividing the force exerted on a test charge by the magnitude of the test charge. Surface charge density is a measure of the amount of electric charge on a surface per unit area and is represented by the Greek letter sigma (σ). To calculate surface charge density, divide the total charge on the surface by the surface area. The electric field is directly proportional to the surface charge density, with the relationship described by the equation E = σ/ε₀.

Mar 28, 2017

BREAD

Homework Statement

Homework Equations

The Attempt at a Solution

I don't understand how it looks like, how to approach this problem.
I think it's maybe image charge or Laplace equation

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Mar 28, 2017

BvU

Science Advisor

Homework Helper

BREAD said:

I don't understand how it looks like, how to approach this problem.

My 'guess' is that the line is in the z-direction, the plane too:

Related to Electric field and surface charge density problem

What is an electric field?

An electric field is a force field that surrounds a charged object and exerts a force on other charged objects in its vicinity. It is represented by a vector quantity and is measured in units of newtons per coulomb (N/C).

How is electric field strength calculated?

Electric field strength is calculated by dividing the force exerted on a test charge by the magnitude of the test charge. The equation for electric field strength is E = F/q, where E is the electric field strength, F is the force, and q is the magnitude of the test charge.

What is surface charge density?

Surface charge density is a measure of the amount of electric charge on a surface per unit area. It is represented by the Greek letter sigma (σ) and is measured in units of coulombs per square meter (C/m²).

How do you calculate surface charge density?

To calculate surface charge density, divide the total charge on the surface by the surface area. The equation for surface charge density is σ = Q/A, where σ is the surface charge density, Q is the total charge, and A is the surface area.

What is the relationship between electric field and surface charge density?

The electric field is directly proportional to the surface charge density. This means that as the surface charge density increases, the electric field strength also increases, and vice versa. This relationship is described by the equation E = σ/ε₀, where E is the electric field strength, σ is the surface charge density, and ε₀ is the permittivity of free space.