Question

A charge of 1 uC is situated at the center of a hollow sphere of radius 2 m. If the radius of the sphere reduces to 1 m without any shift in its center, then
the electric flux through the sphere would​

Answer 1

Answer:

remain unchanged option 3

Answer 2

Given info : A charge of 1 uC is situated at the center of a hollow sphere of radius 2 m. If the radius of the sphere reduces to 1 m without any shift in its center.

To find : The electric flux through the sphere would be ..

solution : From Gauss’ law, electric flux is the ratio of total charge enclosed the Gaussian surface to the permittivity of medium.

i.e., Φ = Q_in/ε₀

here you see, electric flux doesn't depend on the shape and size of surface.

it does depend on charge inside the surface.

so if we reduces the sphere from 2 m to 1 m without shifting the centre, electric flux remains constant.

Therefore the electric flux remains same. i.e., Φ = 1μC/ε₀ = (10^-6)/(8.85 × 10^-12) = 0.113 × 10⁶ Nm²/C