(1) Use Gauss' law to prove that the electric field inside a uniformly charged spherical shell is zero
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Gauss' law :
Explanation:
Gauss Law states that the whole electrical flux out of a closed surface is capable of the charge closed divided by the permittivity.
The electrical flux in a locality is outlined because the force field increased by the world of the surface projected during a plane and perpendicular to the sphere.
According to the Gauss law, the whole flux connected with a closed surface is 1/ε0 times the charge closed in by the closed surface.
∴ Eds =
where
E = intensity of the electric field
ds = surface area
q = charge on the surface area
ε0 = the electric constant.
But the area of the gaussian surface is the area of the sphere
∴ ds = 4π &
q = 0
E ( 4π ) =
E = 0
Hence proved.
Refer to the following attachment:
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