Conducting cylinder

Storyboard

The geometry described as a cylinder can ideally be interpreted as a cylinder of infinite length. In other words, it corresponds to a situation in which the height of the cylinder is always much greater than any radial distance considered. Due to this, the effects associated with the ends of the cylinder can be neglected and the electric field is purely radial, depending only on the distance to the axis of the cylinder.

>Model

ID:(2075, 'ky')


Electric field of an infinite cylinder

Description

Since Gauss's law states that the total flow of electric field through an infinite cylinder is proportional to the enclosed charge, using 11377:

equation=11377

can be applied to the case of a single surface Surface ($S$) corresponding to a cylinder of Radius ($r$) and Wire length ($L$):

equation=10464

With this you finally obtain:

equation

ID:(15781, 'gm')


Conducting cylinder

Description

Calculations


First, select the equation:   to ,  then, select the variable:   to 

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used



Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$r$
r
Radius
m
$\epsilon$
epsilon
Dielectric constant
-
$E_c$
E_c
Electric field, infinite conducting cylinder
V/m
$\epsilon_0$
epsilon_0
Electric field constant
C^2/m^2N
$\lambda_e$
lambda_e
Linear charge density
C/m

ID:(2075, 0)


gphysics.net - Dr. Willy H. Gerber
Palos Verdes, Costa de Corral, Chile