A point charge $q$ is placed at a distance $a/2$ directly above the centre of a square of side $a$. The electric flux through the square is
$\frac{q}{{{\varepsilon _0}}}$
$\frac{q}{{\pi {\varepsilon _0}}}$
$\frac{q}{{4{\varepsilon _0}}}$
$\frac{q}{{6{\varepsilon _0}}}$
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 $r ( < R )$ 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:
A charge $q$ is placed at the center of one of the surface of a cube. The flux linked with the cube is :-
An infinite, uniformly charged sheet with surface charge density $\sigma$ cuts through a spherical Gaussian surface of radius $R$ at a distance $x$ from its center, as shown in the figure. The electric flux $\Phi $ through the Gaussian surface is
The charge $q$ on a capacitor varies with voltage as shown in figure. The area of the triangle $AOB $ represents
A point charge $+Q$ is positioned at the centre of the base of a square pyramid as shown. The flux through one of the four identical upper faces of the pyramid is