If the flux of the electric field through a closed surface is zero,

Derive the expression for the torque acting on an electric dipole, when it is held in a uniform electric field. Identify the orientation of the dipole in the electric field, in which it attains stable equilibrium.

When is the magnetic flux through an area element (i) maximum (ii) zero ?

A current carrying rectangular coil is placed in a uniform magnetic field. In which orientation, the coil will not tend to rotate

Electric flux over a surface in an electric field

Given below are two statements : Statement I : An electric dipole is placed at the centre of a hollow sphere. The flux of electric field through the sphere is zero but the electric field is not zero anywhere in the sphere. Statement II : If R is the radius of a solid metallic sphere and Q be the total charge on it. The electric field at any point on the spherical surface of radius r (lt R) is zero but the electric flux passing through this closed spherical surface of radius r is not zero. In the light of the above statements, choose the correct answer from the options given below :

Electric flux in an electric field vecE through area vector vec(ds) is given by