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Grade: 12th pass

                        

Can we used gauss law to find out the electric field due to any charge distribution?Explain

4 months ago

Answers : (1)

Arun
24737 Points
							
Gauss Law:
Gauss law states that electric flux through any closed surface is equal to the net charge enclosed inside the surface divided by the permittivity of vacuum.
Electric field due to a uniformly charged thin shell:
In the diagram, O is the centre of the spherical shell of radius R, and charge enclosed by the spherical shell is q.
Let a point A is outside the spherical shell, where we have to calculate the electric field.The distance between the centre of spherical shell and the point A.
ϕ=E.Scosθ
So, ϕ=E.4πr2(1)
As per gauss law,
ϕ=ϵoq(2)
From equation (1) and (2)
E.4πr2=ϵoq
Now,
E=4πϵor2q
This is the electric field at the distance r, outside from the shell.
4 months ago
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