Electrostatics PYQs - Last 5 Years

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Practice 57 AP EAPCET Physics questions from Electrostatics. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 5 Years Electrostatics Questions

Showing 50 of 57 filtered questions.

1Electrostatics

If four charges $+12 \mathrm{nC},-20 \mathrm{nC},+32 \mathrm{nC}$ and -15 nC are arranged at the four vertices of a square of side $\sqrt{2} \mathrm{~m}$, then the net electric potential at the centre of the square due to these four charges...

2Electrostatics

If two particles $A$ and $B$ of charges $1.6 \times 10^{-19} \mathrm{C}$ and $3.2 \times 10^{-19} \mathrm{C}$ respectively are separated by a distance of 3 cm in air, then the magnitude of electrostatic force on particle $A$ due to particle...

3Electrostatics

An electric charge $10^{-3} \mu \mathrm{C}$ is placed at the origin of $x y$-plane. The potential difference between point $A$ and $B$ located at $(\sqrt{2} \mathrm{~m}, \sqrt{2} \mathrm{~m})$ and $(2 \mathrm{~m}, 0 \mathrm{~m})$ respective...

4Electrostatics

An electric dipole with dipole moment $2 \times 10^{-10} \mathrm{Cm}$ is aligned at an angle $30^{\circ}$ with the direction of uniform electric field of $10^4 \mathrm{NC}^{-1}$. The magnitude of the torque acting on the dipole is

5Electrostatics

In space the electric potential varies as $V=20|\mathbf{r}|$ volt. where $\mathbf{r}=x \hat{\mathbf{i}}+y \hat{\mathbf{j}}+z \hat{\mathbf{k}}$ is the position vector. Then, electric field in $\left(\mathrm{NC}^{-1}\right)$ at the point $(4 ...

6Electrostatics

The force between two conducting spheres of same radius having charges $+8 \mu \mathrm{C}$ and $-4 \mu \mathrm{C}$ separated by some distance in air is $F$. If the spheres are connected by a conducting wire and after some time the wire is r...

7Electrostatics

The sum of two point positive charges separated by a distance of 1.5 m in air is $25 \mu \mathrm{C}$. If the electrostatic force between the two charges is 0.6 N , then the difference between the two charges is

8Electrostatics

A particle of mass 0.2 g and charge 2 C is released from rest in a uniform electric field of $20 \mathrm{NC}^{-1}$. The kinetic energy of the particle after moving a distance of 20 cm is

9Electrostatics

If the energy stored in a spherical conductor having a charge of $12 \mu \mathrm{C}$ is 6 J , then the radius of the spherical conductor is

10Electrostatics

A solid of mass 1 kg has $6 \times 10^{24}$ atoms. If one electron is removed from every one atom of $0.005 \%$ of the atoms, then the charge gained by the solid is

11Electrostatics

In a region, the electric field is given by $\mathbf{E}=(3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}+7 \hat{\mathbf{k}}) \mathrm{NC}^{-1}$. The electric flux through a surface of area $3 \mathrm{~m}^2$ in $y z$-plane is (in SI units)

12Electrostatics

The velocity acquired by an electron at rest when subjected to a uniform electric field of potential difference 180 V is
(Mass of electron $=9 \times 10^{-31} \mathrm{~kg}$ and charge of electron $=1.6 \times 10^{-19} \mathrm{C}$ )

13Electrostatics

As shown in the figure, if the values of the electric potential at three points $A, B$ and $C$ in a uniform electric field (E) are $V_A, V_B$ and $V_C$ respectively, then

14Electrostatics

As shown in the figure, the work done to move the charge ' $Q$ ' from point $C$ to point $D$ along the semicircle CRD is

15Electrostatics

Two charged conducting spheres of radii 5 cm and 10 cm have equal surface charge densities. If the electric field on the surface of the smaller sphere is $E$, then the electric field on the surface of the larger sphere is

16Electrostatics

Three particles of each charge $q$ are placed at the vertices of an equilateral triangle of side $L$. The work to be done to decrease the side of the triangle to $\frac{L}{2}$ is

17Electrostatics

If 27 charged water droplets, each of radius $10^{-3} \mathrm{~m}$ and charge $10^{-12} \mathrm{C}$ coalesce to form a single big spherical drop, then the potential of the big drop is

18Electrostatics

Three point charges shown in the figure lie along a straight line. The energy required to exchange the position of central charge with one of the negative charges is

19Electrostatics

The force between two point charges kept with a separation of 9 cm in air is 98 N . If a dielectric slab of constant 4, thickness 6 cm and another dielectric slab of constant 9 , thickness 3 cm are introduced between the two charges, then t...

20Electrostatics

Two particles of charges 4 nC and $Q$ are kept in air with a separation of 10 cm between them. If the electrostatic potential energy of the system is $1.8 \mu \mathrm{~J}$, then $Q=$

21Electrostatics

A particle of mass 0.5 g and charge $10 \mu \mathrm{C}$ is subjected to a uniform electric field of $8 \mathrm{NC}^{-1}$. If the particle is initially at rest, the velocity of the particle after a time of 5 s is

22Electrostatics

125 identical charged small spheres coalesce to form a big charged sphere. If the electric potential on each small sphere is 60 mV , then the electric potential on the bigger sphere formed is

23Electrostatics

If four charges $q_1=+1 \times 10^{-8} \mathrm{C}, q_2=-2 \times 10^{-8} \mathrm{C}$, $q_3=+3 \times 10^{-8} \mathrm{C}$ and $q_4=+2 \times 10^{-8} \mathrm{C}$ are kept at the four corners of a square of side 1 m , then the electric potenti...

24Electrostatics

A neutral ammonia $\mathrm{NH}_3$ in its vapour state has electric dipole moment of magnitude $5 \times 10^{-30} \mathrm{C}-\mathrm{m}$. How far apart are the molecules centres of positive and negative charge?

25Electrostatics

Two charges 5 nC and -2 nC are placed at points $( 5 cm\mathrm{~}$ $0,0)$ and $(23 \mathrm{~cm}, 0,0)$ in a region of space where there is no other external field. The electrostatic potential energy of this charge system is

26Electrostatics

The magnitude of an electric field which can just suspend a deuteron of mass $3.2 \times 10^{-27} \mathrm{~kg}$ freely in ari is

27Electrostatics

Three equal electric charges of each charge $q$ are placed at the vertices of an equilateral triangle of side of length $L$. Then, potential energy of the system is

28Electrostatics

Eight drops of mercury of equal radii and possessing equal charge combine to form a big drop. If the capacity of each drop is $C$, then capacity of the big drop is

29Electrostatics

A point charge $q \mathrm{C}$ is placed at the centre of a cube of a side length $L$. Then, the electric flux linked with each face of the cube is

30Electrostatics

The electric field intensity $E$ at a distance of 3 m from a uniform long straight wire of linear charge density $0.2 \mu \mathrm{~cm}^{-1}$ is

31Electrostatics

The angle between the electric dipole moment of a dipole and the electric field strength due to it on the equatorial line is

32Electrostatics

Two spheres $A$ and $B$ of radii 4 cm and 6 cm are given charges of $80 \mu \mathrm{C}$ and $40 \mu \mathrm{C}$ respectively. If they are connected by a fine wire, the amount of charge flowing from one to the other is

33Electrostatics

Three point charges $+q,+2 q$ and $+4 q$ are placed along a straight line such that the charge $+2 q$ lies at equidistant from the other two charges. The ratio of the net electrostatic force on charges $+q$ and $+4 q$ is

34Electrostatics

A particle of mass 2 g and charge $6 \mu \mathrm{C}$ is accelerated from rest through a potential difference of 60 V . The speed acquired by the particle is

35Electrostatics

Two particles of equal mass $m$ and equal charge $q$ are separated by a distance of 16 cm . They do not experience any force. The value of $\frac{q}{m}$ is (if $G$ is the universal gravitational constant and $g$ is the acceleration due to g...

36Electrostatics

In the following diagram, the work done in moving a point charge from point $P$ to points $A, B$ and $C$ are $W_A, W_B$ and $W_C$ respectively. Then ( $A, B, C$ are points on semi-circle and point charge $q$ is at the centre of semi-circle)...

37Electrostatics

In a region, the electric field is $30 \hat{\mathbf{i}}+40 \hat{\mathbf{j}} \mathrm{NC}^{-1}$, If the electric potential at the origin is zero. The electric potential at the point ( $1 \mathrm{~m}, 2 \mathrm{~m}$ ) is

38Electrostatics

Two point charges $+6 \mu \mathrm{C}$ and $+10 \mu \mathrm{C}$ kept at certain distance repel each other with a force of 30 N . If each charge is given an additional charge of $-8 \mu \mathrm{C}$, the jwo charges

39Electrostatics

Two thin conducting concentric shells of radii $R$ and $2 R$ are shown in the figure. The outer shell carries a charge $+Q$ and the inner shell is neutral. Then the correct statement/s is
(a) When the switch is closed, the potential on the ...

40Electrostatics

The electric field ( E in $\mathrm{NC}^{-1}$ ) in a region is given by $\mathrm{E}=3 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}$. The net electric flux through a square area of side 2 m parallel to $y z$-plane is

41Electrostatics

The net electric flux due to a uniform electric field of $3 \times 10^3 \hat{\mathrm{i}} \mathrm{NC}^{-1}$ through a cube of side 20 cm oriented such that its faces are parallel to the coordinate planes is

42Electrostatics

The electric field in a region of space is given as \(\mathbf{E}=\left(5 \mathrm{NC}^{-1}\right) x \hat{i}\). Consider point \(A\) on the \(Y\)-axis at \(y=5 \mathrm{~m}\) and point \(B\) on the \(X\)-axis at \(x=2 \mathrm{~m}\). If the pot...

43Electrostatics

A large number of positive charges each of magnitude \(q\) are placed along the \(X\)-axis at the origin and at every 1 cm distance in both the directions. The electric flux through a spherical surface of radius 2.5 cm centred at the origin...

44Electrostatics

Electrostatic force between two identical charges placed in vacuum at distance of \(r\) is F. A slab of width \(\frac{r}{5}\) and dielectric constant 9 is inserted between these two charges, then the force between the charges is

45Electrostatics

An electric dipole with dipole moment \(5 \times 10^{-7} \mathrm{C}-\mathrm{m}\) is in the electric field of \(2 \times 10^4 \mathrm{NC}^{-1}\) at an angle of \(60^{\circ}\) with the direction of the electric field. The torque acting on the...

46Electrostatics

Two positive point charges of \(10 \mu \mathrm{C}\) and \(12 \mu \mathrm{C}\) are placed 10 cm apart in air. The work done to bring them 6 cm closer is

47Electrostatics

Statement (A) Inside a charged hollow metal sphere, \(E=0, V \neq 0\), (where, \(E=\) electric field, \(V=\) electric potential).
Statement (B) The work done in moving a positive charge on an equipotential surface is zero.
Statement (C) Whe...

48Electrostatics

A solid sphere of radius \(R\) carries a positive charge \(Q\) distributed uniformly throughout its volume. A very thin hole is drilled through it's centre. A particle of mass \(m\) and charge \(-\)q performs simple harmonic motion about th...

49Electrostatics

Assertion (A) In a region of constant potential, the electric field is zero and there can be no charge inside the region.
Reason (R) According to Gauss law, charge inside the region should be zero if electric field is zero.

50Electrostatics

Two charges 8 \(\mu\)C each are placed at the corners A and B of an equilateral triangle of side 0.2 m in air. The electric potential at the third corner C is