Figure shows the electric lines of force emerging from a charged body. If the electric field at $A$ and $B$ are ${E_A}$ and ${E_B}$ respectively and if the displacement between $A$ and $B$ is $r$ then
${E_A} > {E_B}$
${E_A} < {E_B}$
${E_A} = \frac{{{E_B}}}{r}$
${E_A} = \frac{{{E_B}}}{{{r^2}}}$
An arbitrary surface encloses a dipole. What is the electric flux through this surface ?
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 located at the centre of a cube. The electric flux through any face is
Given below are two statement: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A:$ If an electric dipole of dipole moment $30 \times 10^{-5}\,Cm$ is enclosed by a closed surface, the net flux coming out of the surface will be zero.
Reason $R$ : Electric dipole consists of two equal and opposite charges.
In the light of above, statements, choose the correct answer from the options given below:
A charge $Q\;\mu C$ is placed at the centre of a cube, the flux coming out from any surfaces will be