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Interior of an insulating sphere
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In the case of an insulating sphere with a homogeneous charge distribution, the charges cannot move. The electric field can be calculated by assuming spherical symmetry and defining the Gaussian surface as a sphere with a given radius. In this way, the electric field and potential will depend on the charge enclosed by this surface.
ID:(2077, 'ky')
Internal electric field of a charged 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
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can be applied to the case of a single surface Surface ($S$) corresponding to a sphere of radius Radius ($r$):
In this case, the amount of Charge ($Q$) enclosed by the Gaussian surface corresponds only to the fraction of the total volume contained within the radius Radius ($r$). As the charge distribution is homogeneous, the enclosed charge is proportional to the interior volume of the Gaussian sphere:
$q_s=\displaystyle\frac{Q}{R^3}r^3$
With this you finally obtain:
ID:(11376, 'gm')
Volumetric Load Density
Description
When Charge ($Q$) is distributed over a Volume ($V$), a Volume charge density ($\rho_e$) can be defined that represents the amount of charge contained per unit volume:
From this volumetric load distribution it is defined:
 $\rho_e = \displaystyle\frac{ Q }{ V }$
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ID:(15784, 'gm')
Interior of an insulating sphere
Description
Calculations
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Calculations
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Equation
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Variables
ID:(2077, 0)
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