Flux passing through the shaded surface of a sphere when a point charge q is placed at the center is (radius of the sphere is R)

The flux of electricfield passing through the curved surface of the hemisphere of radius R, if vec(E) is radial to the sphere as shown :

A hollow non conducting sphere of radius R has a positive charge q uniformly distributed on its surface. The sphere starts rotating with a constant angular velocity 'omega' about an axis passing through center of sphere, as shown in the figure. Then the net magnetic field at center of the sphere is

A hollow non conducting sphere of radius R has a positive charge q uniformly distributed on its surface. The sphere starts rotating with a constant angular velocity 'omega' about an axis passing through center of sphere, as shown in the figure. Then the net magnetic field at center of the sphere is

Charge is distributed uniformly in some space. The net flux passing through the surface of an imaginary cube of side a in the space is phi . The net flux passing through the surface of an imaginary sphere of radius a in the space will be

Charge is distributed uniformly in some space. The net flux passing through the surface of an imaginary cube of side a in the space is phi . The net flux passing through the surface of an imaginary sphere of radius a in the space will be

A ring of radius R having a linear charge density lambda moves towards a solid imaginary sphere of radius (R)/(2) , so that the centre of ring passes through the centre of sphere. The axis of the ring is perpendicular to the line joining the centres of the ring and the sphere. The maximum flux through the sphere in this process is

A ring of radius R having a linear charge density lambda moves towards a solid imaginary sphere of radius (R)/(2) , so that the centre of ring passes through the centre of sphere. The axis of the ring is perpendicular to the line joining the centres of the ring and the sphere. The maximum flux through the sphere in this process is