Electric Field from Charged Cylinder | Radial Distance

In summary, an electric field is a vector quantity that describes the strength and direction of the force experienced by a charged particle in the presence of an electric charge. It is produced by a charged cylinder when there is a concentration of charge on the surface, creating an imbalance of positive and negative charges. The strength of the electric field varies inversely with radial distance, and can be calculated using the formula E = λ/2πε<sub>0</sub>r. The direction of the electric field is always perpendicular to the surface of the cylinder, but changes from pointing outward to pointing inward as the distance from the cylinder increases.
  • #1
Fatima Hasan
319
14

Homework Statement


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Homework Equations



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The Attempt at a Solution


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Can someone tell me where is my mistake ?
 

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  • #2
You are using the volume of a sphere instead of the volume of a cylinder.
 
  • #3
You should draw the Gaussian surface for which you are calculating the charge enclosed.
 

Related to Electric Field from Charged Cylinder | Radial Distance

1. What is an electric field?

An electric field is a vector quantity that describes the strength and direction of the force experienced by a charged particle in the presence of an electric charge.

2. How is an electric field produced by a charged cylinder?

An electric field is produced by a charged cylinder when there is a concentration of charge on the surface of the cylinder. This creates an imbalance of positive and negative charges, resulting in an electric field that extends outward from the surface of the cylinder.

3. How does the electric field from a charged cylinder vary with radial distance?

The electric field from a charged cylinder varies inversely with the radial distance from the surface of the cylinder. As the distance increases, the strength of the electric field decreases.

4. What is the formula for calculating the electric field from a charged cylinder at a specific radial distance?

The formula for calculating the electric field from a charged cylinder at a specific radial distance is E = λ/2πε0r, where E is the electric field, λ is the linear charge density of the cylinder, ε0 is the permittivity of free space, and r is the radial distance.

5. How does the direction of the electric field from a charged cylinder change with radial distance?

The direction of the electric field from a charged cylinder is always perpendicular to the surface of the cylinder at any radial distance. However, the direction of the electric field changes from pointing outward at smaller distances to pointing inward at larger distances.

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