Electrostatics PYQs - Last 5 Years

A unit positive point charge is taken slowly through an infinitesimally thin tube that is inside a charged dielectric sphere of radius $R$, having uniform positive charge density $\rho$, as shown in the figure. The initial and final positio...

A point charge $Q$ is placed inside a cavity within a solid isolated conducting sphere. Consider points $A, B$ and $C$ as shown in the figure, where the magnitudes of the electric fields are $E_A, E_B, E_C$, respectively. The points $B$ and...

Consider a fixed uniformly charged insulating sphere with radius $R$ and total charge $+Q$. A point charge $-q$ ( $q \ll Q$ ) with mass $m$ is released from rest at a distance of $3 R$ from the centre of the charged sphere. When the point c...

Which of the following statements are correct?
A. Inside a conductor, the electrostatic field is zero.
B. Electric field at the surface of a charged conductor does not depend on its surface charge density.
C. The interior of a charged condu...

Two identical charged conducting spheres $A$ and $B$ have their centres separated by a certain distance. Charge on each sphere is $q$ and the force of repulsion between them is $F$. A third identical uncharged conducting sphere is brought i...

An electric dipole with dipole moment $5 \times 10^{-6} \mathrm{Cm}$ is aligned with the direction of a uniform electric field of magnitude $4 \times 10^5 \mathrm{~N} / \mathrm{C}$. The dipole is then rotated through an angle of $60^{\circ}...

The value of electric potential at a distance of \(9 \mathrm{~cm}\) from the point charge \(4 \times 10^{-7} \mathrm{C}\) is [Given \(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{~N} \mathrm{~m}^2 \mathrm{C}^{-2}\)] :

A metal cube of side \(5 \mathrm{~cm}\) is charged with \(6 \mu \mathrm{C}\). The surface charge density on the cube is

A thin spherical shell is charged by some source. The potential difference between the two points \(C\) and \(P\) (in V) shown in the figure is:
(Take \(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9\) SI units)

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The potential (V) at any axial point, at \(2 \mathrm{~m}\) distance \((r)\) from the centre of the dipole of dipole moment ve...

If a conducting sphere of radius \(\mathrm{R}\) is charged. Then the electric field at a distance \(\mathrm{r}(\mathrm{r} > \mathrm{R})\) from the centre of the sphere would be, \((\mathrm{V}=\) potential on the surface of the sphere)

A charge \(\mathrm{Q} ~\mu \mathrm{C}\) is placed at the centre of a cube. The flux coming out from any one of its faces will be (in SI unit) :

According to Gauss law of electrostatics, electric flux through a closed surface depends on :

An electric dipole is placed as shown in the figure.

The electric potential (in 102 V) at point P due to the dipole is (\(\in_0\) = permittivity of free space and \(\frac{1}{4 \pi \epsilon_{0}}\) = K) :

If \(\oint_\limits{s} \vec{E} \cdot \overrightarrow{d S}=0\) over a surface, then:

An electric dipole is placed at an angle of \(30^{\circ}\) with an electric field of intensity \(2 \times 10^{5} \mathrm{NC}^{-1}\). It experiences a torque equal to \(4 ~\mathrm{N~m}\). Calculate the magnitude of charge on the dipole, if t...

Six charges +q, \(-\)q, +q, \(-\)q, +q, and \(-\)q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge q0 to the centre of the hexagon from infinity is
(\({\varepsilon _0}\) - permittiv...

Two point charges \(-\)q and +q are placed at a distance of L, as shown in the figure.

The magnitude of electric field intensity at a distance R(R >> L) varies as:

Two hollow conducting spheres of radii R1 and R2 (R1 >> R2) have equal charges. The potential would be

The angle between the electric lines of force and the equipotential surface is