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:
Both Statement $I$ and Statement $II$ are true
Statement $I$ is true but Statement $II$ is false
Both Statement $I$ and Statement $II$ are false
Statement $I$ is false but Statement $II$ is true.
If $\oint_s \vec{E} \cdot \overrightarrow{d S}=0$ over a surface, then:
Find out the surface charge density at the intersection of point $x =3\, m$ plane and $x$ -axis, in the region of uniform line charge of $8\, nC / m$ lying along the $z$ -axis in free space.
An infinite line charge is at the axis of a cylinder of length $1 \,m$ and radius $7 \,cm$. If electric field at any point on the curved surface of cylinder is $250 \,NC ^{-1}$, then net electric flux through the cylinder is ............ $Nm ^2 C ^{-1}$
The spatial distribution of the electric field due to two charges $(A,\,B)$ is shown in figure. Which one of the following statements is correct ?
How does the electric field lines depend on area ?