Exterior of a sphere
Storyboard
For both a conducting sphere and an insulating sphere, the external field depends only on the total charge, whether it is distributed on the surface (conducting sphere) or throughout the interior (insulating sphere).
ID:(2078, 'ky')
External electric field of a sphere
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 sphere of radius Radius ($r$):
With this you finally obtain:
ID:(224, 'gm')
Exterior of a sphere
Description
Calculations
First, select the equation:
to
,
then, select the variable:
to
Symbol
Equation
Solved
Translated
Calculations
Symbol
Equation
Solved
Translated
Variables
Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$r$
r
Radius
m
$\epsilon$
epsilon
Dielectric constant
-
$Q$
Q
Charge
C
$E_e$
E_e
Electric field, sphere, outer
V/m
$\epsilon_0$
epsilon_0
Electric field constant
C^2/m^2N
ID:(2078, 0)
gphysics.net - Dr. Willy H. Gerber
Palos Verdes, Costa de Corral, Chile
Palos Verdes, Costa de Corral, Chile
