Wire

Storyboard

The geometry referred to as a wire can be understood as an infinitely long cylinder where the distance to the axis is much greater than the radius of the cylinder. Essentially, this corresponds to a case where the radius approaches zero, effectively becoming an infinitely thin line of charge.

>Model

ID:(2073, 'ky')


Electric field of an infinite wire

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:(3213, 'gm')


Linear Charge Density

Description

When Charge ($Q$) is distributed over a Wire length ($L$), a Linear charge density ($\lambda_e$) can be defined that represents the amount of charge contained per unit length:



From this linear load distribution it is defined:

$\lambda_e = \displaystyle\frac{ Q }{ L }$

$L$
Wire length
$m$
$Q$
Charge
$C$
$\lambda_e$
Linear charge density
$C/m$

ID:(15785, 'gm')


Wire

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
$L$
L
Wire length
m
$\epsilon$
epsilon
Dielectric constant
-
$Q$
Q
Charge
C
$E_w$
E_w
Electric field of an infinite wire
V/m
$\epsilon_0$
epsilon_0
Electric field constant
C^2/m^2N
$\lambda_e$
lambda_e
Linear charge density
C/m

ID:(2073, 0)


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