Electric field in all regions of cylinder

In summary, an electric field is a physical quantity that describes the force experienced by a charged particle in the presence of an electric charge or a changing magnetic field. A cylinder is a three-dimensional solid shape with two parallel circular bases connected by a curved surface. The electric field in a cylinder varies depending on the distance from the center of the cylinder, following the inverse square law outside and being constant inside. The formula for calculating the electric field in a cylinder is E = λ/2πεr. The presence of other charges can affect the electric field inside and outside the cylinder, making it stronger or weaker and potentially changing its direction.
  • #1
yayovio10
18
0
A uniform linear charge of λ is located along the z axis, and concentric circular cylinder of radius 2 [m] has a surface distribution charge of α . both distributions are infinite, the distribution of linear charge is contained in the interior of the circular cylinder as shown image.

figura1.png


λ = 3 * 10^-3 (C/M)
σ = 1.54pi * 10^-3 (C/M^2)

Determine E, in all regions

so i was wondering if these are the formulas that i have to use or if I am wrong

exa1.png
 
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  • #2
These look right, except you seem to have forgotten to cancel out the L's in the very last equation.
 

FAQ: Electric field in all regions of cylinder

What is an electric field?

An electric field is a physical quantity that describes the force experienced by a charged particle in the presence of an electric charge or a changing magnetic field.

What is a cylinder?

A cylinder is a three-dimensional solid shape with two parallel circular bases connected by a curved surface.

How does the electric field vary in all regions of a cylinder?

The electric field in a cylinder varies depending on the distance from the center of the cylinder. In the region outside the cylinder, the electric field follows the inverse square law, decreasing as the distance from the center increases. In the region inside the cylinder, the electric field is constant and equal to the charge density divided by the permittivity of the material.

What is the formula for calculating the electric field in a cylinder?

The formula for the electric field in a cylinder is E = λ/2πεr, where λ is the linear charge density, ε is the permittivity of the material, and r is the distance from the center of the cylinder.

How is the electric field in a cylinder affected by the presence of other charges?

The presence of other charges in the vicinity of a cylinder can affect the electric field inside and outside the cylinder. The electric field will be stronger if there are other positively charged particles nearby, and weaker if there are negatively charged particles. The direction of the electric field can also be affected by the presence of other charges.

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