Electric Flux and Gauss's Law for Non-Uniform Charge Density in a Solid Cylinder

Thread starter johafmorsha
Start date Jul 14, 2011
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Electric Electric flux Flux

In summary, electric flux is a measure of the electric field passing through a given area and is calculated by taking the dot product of the electric field and the area vector. It is directly proportional to the amount of electric charge enclosed within the area and is measured in volts per meter squared (V/m<sup>2</sup>). Gauss's Law states that the electric flux through a closed surface is equal to the net charge enclosed divided by the permittivity of free space, making it useful in calculating electric flux. The shape of the enclosed area does not affect the electric flux as long as the amount of charge remains the same. This concept is important in electromagnetism as it helps us understand and calculate electric fields and is a key component of

Jul 14, 2011

johafmorsha

Problem
A long non conducting solid cylinder of radius R has a non-uniform change density rho or (p) that is a function of the radical distance r from the axis of the cylinder. given by rho or p(r)=Ar^2 Find the E-field at regions r<R and r>R?

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Jul 14, 2011

cupid.callin

you need to show your attempt.

Jul 14, 2011

flyingpig

Ah Gauss's Law, this brings meback...

Draw a picture.

Related to Electric Flux and Gauss's Law for Non-Uniform Charge Density in a Solid Cylinder

1. What is electric flux?

Electric flux is a measure of the electric field passing through a given area. It is calculated by taking the dot product of the electric field and the area vector. It is measured in units of volts per meter squared (V/m²).

2. How is electric flux related to electric charge?

Electric flux is directly proportional to the amount of electric charge enclosed within a given area. This means that as the amount of charge increases, so does the electric flux.

3. What is Gauss's Law and how is it related to electric flux?

Gauss's Law states that the electric flux through a closed surface is equal to the net charge enclosed by that surface divided by the permittivity of free space. This means that Gauss's Law can be used to calculate the electric flux if the charge enclosed and the permittivity are known.

4. How is electric flux affected by the shape of the enclosed area?

The shape of the enclosed area does not affect the total electric flux passing through it. As long as the same amount of charge is enclosed, the electric flux will remain the same regardless of the shape of the area.

5. Why is electric flux an important concept in electromagnetism?

Electric flux is important because it helps us understand and calculate the strength and direction of electric fields. It is also a key concept in Gauss's Law, which is a fundamental law in electromagnetism that helps us solve complex problems involving electric charges and fields.