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Can we used gauss law to find out the electric field due to any charge distribution?Explain Can we used gauss law to find out the electric field due to any charge distribution?Explain
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.ScosθSo, ϕ=E.4πr2−−−−−−−−−−−−−−(1)As per gauss law,ϕ=ϵoq−−−−−−−−−(2)From equation (1) and (2)E.4πr2=ϵoqNow,E=4πϵor2qThis is the electric field at the distance r, outside from the shell.
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