The electric flux through the hole is .
- Electric flux is the number of electric field lines cutting through the surface and is measured as surface intregal of electric field over that surface
- Mathematically it is given by
where E is the electric field and A is the area.
- Gauss's law states that electric flux through closed surface is equal to the 1 / ε₀ times the charge enclosed by that surface which is given by Ф = q / ε₀ where q is the central charge and ε₀ is the permittivity of the medium.
It is given , hollow sphere of radius 10.0cm surrounds a 10.0-μC charge.
The whole surface of hollow sphere
Area of the hole ( both side )
According to Gauss's theorem, the flow from a particular charge in the center is given by
This flux flows through the surface of the sphere, so the flux per unit area which is given by
Flux through area of hole is given by :
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