User:
Surface Charge Density
Description
When the Charge ($Q$) is distributed over a Surface ($S$), a Surface charge density ($\sigma_e$) can be defined that represents the amount of charge contained per unit area:
From this surface charge distribution it is defined:
 $\sigma_e = \displaystyle\frac{ Q }{ S }$
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$\sigma_e$
Surface charge density
$C/m^2$
$S$
Surface
$m^2$
$Q$
Charge
$C$
ID:(15786, 'gm')
Electric field of an infinite surface
Description
Since Gauss's law states that the total flow of electric field through a closed surface is proportional to the enclosed charge, using 11377
:
can be applied to the case of a single surface Surface ($S$) corresponding to a Surface charge density ($\sigma_e$):
With this you finally obtain:
ID:(11375, 'gm')
A plate
Description
Calculations
First, select the equation:
to 
,
then, select the variable: 
to 
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
$\sigma_e$
sigma_e
Surface charge density
C/m^2
$S$
S
Surface
m^2
$\epsilon$
epsilon
Dielectric constant
-
$Q$
Q
Charge
C
$E_s$
E_s
Electric field of an infinite plate
V/m
$\epsilon_0$
epsilon_0
Electric field constant
C^2/m^2N
ID:(2079, 0)
gphysics.net - Dr. Willy H. Gerber
Palos Verdes, Costa de Corral, Chile
Palos Verdes, Costa de Corral, Chile