Electrostatics PYQs - Last 5 Years

An electron falls through a distance $1.5$ cm in $2.0 \times 10^4$ N/C from rest. The time taken to cover this distance in second is ____$(e = 1.6 \times 10^{-19}\text{ C}, m_e = 9.11 \times 10^{-31}\text{ kg})$

What will be the total electric flux through the faces of the cube as given in the figure with side of length '$a$' if a charge Q is placed at B midpoint of an edge of the cube (see figure)?

Consider three point charges $-2Q, Q$ and $-Q$ and three surfaces $S_1, S_2$ and $S_3$ as shown in the figure. Match the entries of List-I with that of List-II.List-IList-II(a) Net flux through $S_1$(i) $\dfrac{-2Q}{\varepsilon_0}$(b) Net f...

An electric dipole of dipole moment $\vec{P}$ is placed in the uniform electric field $\vec{E}$. Then which of the following statements are correct?Statement-I: The torque on the dipole is $\vec{P} \times \vec{E}$Statement-II: The potential...

A $200$ J of work is done in moving a charge $5$ C from a point A where the potential is $-20$ V to another point B where potential is V volt. The value of V at B is

You are given a dipole of charge $+q$ and $-q$ separated by a distance $2 R$. A sphere ' $A$ ' of radius ' $R$ ' passes through the centre of the dipole as shown below and another sphere ' $B$ ' of radius ' $2 R$ ' passes through the charge...

A metallic sphere of radius $R$ carrying a charge $q$ is kept at certain distance from another metallic sphere of radius $\mathrm{R} / 4$ carrying a charge Q . What is the electric flux at any point inside the metallic sphere of radius R du...

Charges are uniformly spread on the surface of a conducting sphere. The electric field from the centre of sphere to a point outside the sphere varies with distance $r$ from the centre as

Which of the following is a correct statement?

Which of the following statements is not true?

Match Column-I with Column - II related to an electric dipole of dipole moment $\vec{p}$ that is placed in a uniform electric field $\vec{E}$.



Column - I Angle between


p

→




p

→

vec(p) ...

A potential at a point A is -3 V and that at another point B is 5 V . What is the work done in carrying a charge of 5 m C from B to A ?

A cube of side 1 cm contains 100 molecules each having an induced dipole moment of $0.2 \times 10^{-6} \mathrm{C}-\mathrm{m}$ in an external electric field of $4 \mathrm{NC}^{-1}$. The electric susceptibility of the materials is ..............

Under electrostatic conditien of a charged conductor, which among the following statements is true?

A uniform electric field $E=3 \times 10^5 \mathrm{NC}^{-1}$ is acting along the positive $Y$-axis. The electric flux through a rectangle of area $10 \mathrm{~cm} \times 30 \mathrm{~cm}$ whose plane is parallel to the ZX -plane is

The total electric flux through a closed spherical surface of radius $r$ enclosing an electric dipole of dipole moment $2 a q$ is (Give $\varepsilon_0=$ permittivity of free space)

A point charge $A$ of $+10 \mu \mathrm{C}$ and another point charge $B$ of $+20 \mu \mathrm{C}$ are kept 1 m apart in free space. The electrostatic force on $A$ due to $B$ is $F_1$ and the electrostatic force on $B$ due to $A$ is $\mathbf{F...

A body has a charge of $-3.2 \mu \mathrm{C}$. The number of excess electrons will be

Electric field at a distance \(r\) from an infinitely long uniformly charged straight conductor, having linear charge density \(\lambda\) is \(E_1\). Another uniformly charged conductor having same linear charge density \(\lambda\) is bent ...

A cubical Gaussian surface has side of length \(a=10 \mathrm{~cm}\). Electric field lines are parallel to \(X\)-axis as shown in figure. The magnitudes of electric fields through surfaces \(A B C D\) and \(E F G H\) are $$6 ~\mathrm{kNC}^{-...

A uniform electric field vector \(\mathbf{E}\) exists along horizontal direction as shown. The electric potential at \(A\) is \(V_A\). A small point charge \(q\) is slowly taken from \(A\) to \(B\) along the curved path as shown. The potent...

In the situation shown in the diagram, magnitude, if \(q < < |Q|\) and \(r >>>a\). The net force on the free charge \(-q\) and net torque on it about \(O\) at the instant shown are respectively.
(\(p=2 a Q\) is the dipole moment)

A positively charged glass rod is brought near uncharged metal sphere, which is mounted on an insulated stand. If the glass rod is removed, the net charge on the metal sphere is

Two tiny spheres carrying charges \(1.8 \mu \mathrm{C}\) and \(2.8 \mu \mathrm{C}\) are located at \(40 \mathrm{~cm}\) apart. The potential at the mid - point of the line joining the two charges is

The electric field and the potential of an electric dipole vary with distance \(r\) as

A charged particle of mass \(m\) and charge \(q\) is released from rest in an uniform electric field E. Neglecting the effect of gravity, the kinetic energy of the charged particle after \(t\) seconds is

An electric dipole with dipole moment \(4 \times 10^{-9} \mathrm{C}-\mathrm{m}\) is aligned at \(30^{\circ}\) with the direction of a uniform electric field of magnitude \(5 \times 10^4 \mathrm{NC}^{-1}\), the magnitude of the torque acting...

Four charges \(+q_1+2 q_1+q\) and \(-2 q\) are placed at the corners of a square \(A B C D\) respectively. The force on a unit positive charge kept at the centre \(O\) is

A tiny spherical oil drop carrying a net charge \(q\) is balanced in still air, with a vertical uniform electric field of strength \(\frac{81}{7} \pi \times 10^5 \mathrm{~V} / \mathrm{m}\). When the field is switched OFF, the drop is observ...