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Electrostatics — JEE Main & Advanced Physics PYQs

667 previous year questions from Electrostatics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

Two charges Q₁ = q and Q₂ = mq are placed at the points P₁(a, b) and P₂(ma, mb) , respectively, in the XY plane, where a, b 0 and m 0, 1 . If V₁ is the potential at a point in the

JEE Advanced 2026 Solution View → 2

Consider an electric dipole comprising two charges +q and -q each with mass m , separated by a fixed distance d and initially at rest with its dipole moment pointing along i . A un

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Two point charges q₁=3 , C and q₂=-4 , C are placed at points (2 i +3 j +3 k ) and ( i + j + k ) respectively. Force on charge q₂ is ________ N. ( Take 1 4 ₀ = 9 10^9 SI Units )

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The electric potential as a function of x, y is given by V = 5(x^2 - y^2) V. The electric field at a point (2, 3) m is __________ V/m.

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A thin half ring of radius 35 cm is uniformly charged with a total charge of Q coulomb. If the magnitude of the electric field at centre of the half ring is 100 V/m, then the value

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A three coulomb charge moves from the point (0, -2, -5) to the point (5, 1, 2) in an electric field expressed as E = 2x i + 3y^2 j + 4 k N/C. The work done in moving the charge is

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A particle of charge q and mass m is projected from origin with an initial velocity v = ( v₀ 2 x + v₀ 2 y ) . There exists a uniform magnetic field B = B₀ z and a space varying ele

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A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an electric field E ₁=E₀ x . If another electric field E ₂=2E₀( y + z ) is introduced to the s

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: In electrostatics, a conductor does not store any net charge insid

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Two metal plates (A, B) are kept horizontally with separation of ( 12 ) cm, with plate A on the top. An atomizer jet sprays oil (density 1.5 g/cm ^3 ) droplets of radius 1 mm horiz

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Two point charges 8 , C and -2 , C are located at x = 2 cm and x = 4 cm, respectively on the x -axis. The ratio of electric flux due to these charges through two spheres of radii 3

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Two charged conducting spheres S₁ and S₂ of radii 8 cm and 18 cm are connected to each other by a wire. After equilibrium is established, the ratio of electric fields on S₁ and S₂

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Two short electric dipoles A and B having dipole moment p₁ and p₂ respectively are placed with their axis mutually perpendicular as shown in the figure. The resultant electric fiel

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Identify the correct statements : A. Electrostatic field lines form closed loops. B. The electric field lines point radially outward when charge is greater than zero. C. The Gauss

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Two point charges of 1 nC and 2 nC are placed at the two corners of equilateral triangle of side 3 cm. The work done in bringing a charge of 3 nC from infinity to the third corner

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A point charge q=1 C is located at a distance 2 cm from one end of a thin insulating wire of length 10 cm having a charge Q=24 C , distributed uniformly along its length, as shown

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There are three co-centric conducting spherical shells A, B and C of radii a, b and c respectively (c>b>a) and they are charged with charge q₁, q₂ and q₃ respectively. The potentia

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Three charges +2 q,+3 q and -4 q are situated at (0,-3 a),(2 a, 0) and (-2 a, 0) respectively in the x y plane. The resultant dipole moment about origin is _ _ _ _ .

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The electrostatic potential in a charged spherical region of radius r varies as V=a r³+b , where a and b are constants. The total charge in the sphere of unit radius is a _ o . The

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Two shorts dipoles (A, B), A having charges 2 C and length 1 cm and B having charges 4 C and length 1 cm are placed with their centres 80 cm apart as shown in the figure. The elect

JEE Main 2026 Solution View → 21

Two charges 7 C and -2 C are placed at (-9,0,0) cm and (9,0,0) cm respectively in an external field E= A r² r , where A=9 10⁵ ~N / C . m ² . Considering the potential at infinity i

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Two point charges 2 q and q are placed at vertex A and centre of face C D E F of the cube as shown in figure. The electric flux passing through the cube is :

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Five positive charges each having charge q are placed at the vertices of a pentagon as shown in the figure. The electric potential (V) and the electric field ( E ) at the center O

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Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one initial bubble and that on the resultant

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Six point charges are kept 60^ apart from each other on the circumference of a circle of radius R as shown in figure. The net electric field at the center of the circle is _ _ _ _

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A simple pendulum has a bob with mass m and charge q . The pendulum string has negligible mass. When a uniform and horizontal electric field E is applied, the tension in the string

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Electric field in a region is given by E =A x i +B y j , where A=10 ~V / m ² and B=5 ~V / m ² . If the electric potential at a point (10,20) is 500 V, then the electric potential a

JEE Main 2026 Solution View → 28

Consider two identical metallic spheres of radius R each having charge Q and mass m . Their centers have an initial separation of 4 R . Both the spheres are given an initial speed

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A point charge of 10⁻⁸ C is placed at origin. The work done in moving a point charge 2 C from point A(4,4,2) m to B(2,2,1) m is _ _ _ _ J. ( 1 4 _ o =9 10⁹ . in SI units )

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List-I shows four configurations, each consisting of a pair of ideal electric dipoles. Each dipole has a dipole moment of magnitude p , oriented as marked by arrows in the figures.

JEE Advanced 2025 Solution View → 31

Two co-axial conducting cylinders of same length with radii 2 R and 2 R are kept, as shown in Fig. 1. The charge on the inner cylinder is Q and the outer cylinder is grounded. The

JEE Advanced 2025 Solution View → 32

A positive point charge of 10⁻⁸ C is kept at a distance of 20 cm from the center of a neutral conducting sphere of radius 10 cm . The sphere is then grounded and the charge on the

JEE Advanced 2025 Solution View → 33

Six infinitely large and thin non-conducting sheets are fixed in configurations I and II. As shown in the figure, the sheets carry uniform surface charge densities which are indica

JEE Advanced 2025 Solution View → 34

Two metal spheres of radius R and 3 R have same surface charge density . If they are brought in contact and then separated, the surface charge density on smaller and bigger sphere

JEE Main 2025 Solution View → 35

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Work done in moving a test charge between two points inside a un

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An infinitely long wire has uniform linear charge density =2 nC / m . The net flux through a Gaussian cube of side length 3 ~cm , if the wire passes through any two corners of the

JEE Main 2025 Solution View → 37

Electric charge is transferred to an irregular metallic disk as shown in figure. If ₁, ₂, ₃ and ₄ are charge densities at given points then, choose the correct answer from the opti

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An electron is released from rest near an infinite non-conducting sheet of uniform charge density ' - '. The rate of change of de-Broglie wave length associated with the electron v

JEE Main 2025 Solution View → 39

The electric field in a region is given by E =(2 i +4 j +6 k ) 10^3 ~N / C . The flux of the field through a rectangular surface parallel to x-z plane is 6.0 Nm ^2 C ⁻¹ . The area

JEE Main 2025 Solution View → 40

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The outer body of an air craft is made of metal which prot

JEE Main 2025 Solution View → 41

A dipole with two electric charges of 2 C magnitude each, with separation distance 0.5 ~m , is placed between the plates of a capacitor such that its axis is parallel to an electri

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Two charges q ₁ and q ₂ are separated by a distance of 30 cm. A third charge q₃ initially at ' C ' as shown in the figure, is moved along the circular path of radius 40 cm from C t

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A metallic ring is uniformly charged as shown in figure. AC and BD are two mutually perpendicular diameters. Electric field due to arc AB to ' O ' is ' E ' is magnitude. What would

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Two small spherical balls of mass 10 g each with charges -2 C and 2 C , are attached to two ends of very light rigid rod of length 20 cm. The arrangement is now placed near an infi

JEE Main 2025 Solution View → 45

Two infinite identical charged sheets and a charged spherical body of charge density ' ' are arranged as shown in figure. Then the correct relation between the electrical fields at

JEE Main 2025 Solution View → 46

The electrostatic potential on the surface of uniformly charged spherical shell of radius R =10 ~cm is 120 V. The potential at the centre of shell, at a distance r =5 ~cm from cent

JEE Main 2025 Solution View → 47

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Net dipole moment of a polar linear isotropic dielectric

JEE Main 2025 Solution View → 48

Two large plane parallel conducting plates are kept 10 cm apart as shown in figure. The potential difference between them is V . The potential difference between the points A and B

JEE Main 2025 Solution View → 49

Consider a circular loop that is uniformly charged and has a radius a 2 . Find the position along the positive z -axis of the cartesian coordinate system where the electric field i

JEE Main 2025 Solution View → 50

A point charge +q is placed at the origin. A second point charge +9 q is placed at ( d , 0,0) in Cartesian coordinate system. The point in between them where the electric field van

JEE Main 2025 Solution View → 51

A small bob of mass 100 mg and charge +10 C is connected to an insulating string of length 1 m. It is brought near to an infinitely long nonconducting sheet of charge density ' ' a

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Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density + and -2 . The force experienced by a

JEE Main 2025 Solution View → 53

A point charge causes an electric flux of -2 10^4 Nm ^2 C ⁻¹ to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is

JEE Main 2025 Solution View → 54

An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density _ o . Choose the correct option from the following.

JEE Main 2025 Solution View → 55

An electric dipole of mass m, charge q, and length (l ) is placed in a uniform electric field ( E = E ₀ i ). When the dipole is rotated slightly from its equilibrium position and r

JEE Main 2025 Solution View → 56

Match List - I with List - II. ( array l|l List - I & List - II (A) array l Electric field inside (distance r>0 from center) of a uniformly charged spherical shell with surface cha

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An electric dipole of dipole moment 6 10⁻⁶ Cm is placed in uniform electric field of magnitude 10^6 ~V / m . Initially, the dipole moment is parallel to electric field. The work th

JEE Main 2025 Solution View → 58

Three infinitely long wires with linear charge density are placed along the x-a x i s, y -axis and z- axis respectively. Which of the following denotes an equipotential surface?

JEE Main 2025 Solution View → 59

A particle of mass ' m ' and charge ' q ' is fastened to one end ' A ' of a massless string having equilibrium length l , whose other end is fixed at point ' O '. The whole system

JEE Main 2025 Solution View → 60

A small uncharged conducting sphere is placed in contact with an identical sphere but having 4 10⁻⁸ C charge and then removed to a distance such that the force of repulsion between

JEE Main 2025 Solution View → 61

In the first configuration (1) as shown in the figure, four identical charges ( (q₀ ) ) are kept at the corners (A, B, C ) and (D ) of square of side length 'a'. In the second conf

JEE Main 2025 Solution View → 62

A square loop of sides a=1 ~m is held normally in front of a point charge q =1 C . The flux of the electric field through the shaded region is 5 p 1 ₀ Nm ^2 C , where the value of

JEE Main 2025 Solution View → 63

Two charges 7 c and -4 c are placed at (-7 ~cm , 0,0) and (7 ~cm , 0,0) respectively. Given, ₀=8.85 10⁻¹² C ^2 ~N ⁻¹ ~m ⁻² , the electrostatic potential energy of the charge config

JEE Main 2025 Solution View → 64

Two point charges -4 c and 4 c , constituting an electric dipole, are placed at (-9,0,0) cm and (9,0,0) cm in a uniform electric field of strength 10^4 NC ⁻¹ . The work done on the

JEE Main 2025 Solution View → 65

A point particle of charge Q is located at P along the axis of an electric dipole 1 at a distance r as shown in the figure. The point P is also on the equatorial plane of a second

JEE Main 2025 Solution View → 66

A positive ion A and a negative ion B has charges 6.67 10⁻¹⁹ C and 9.6 10⁻¹⁰ C , and masses 19.2 10⁻²⁷ ~kg and 9 10⁻²⁷ ~kg respectively. At an instant, the ions are separated by a

JEE Main 2025 Solution View → 67

For a short dipole placed at origin O , the dipole moment P is along x -axis, as shown in the figure. If the electric potential and electric field at A are V ₀ and E ₀ , respective

JEE Main 2025 Solution View → 68

An electron is made to enter symmetrically between two parallel and equally but oppositely charged metal plates, each of 10 cm length. The electron emerges out of the electric fiel

JEE Main 2025 Solution View → 69

A line charge of length ' a ' 2 is kept at the center of an edge B C of a cube A B C D E F G H having edge length ' a ' as shown in the figure. If the density of line charge is C p

JEE Main 2025 Solution View → 70

A small electric dipole p ₀ , having a moment of inertia I about its center, is kept at a distance r from the center of a spherical shell of radius R . The surface charge density i

JEE Advanced 2024 Solution View → 71

A charge is kept at the central point P of a cylindrical region. The two edges subtend a half-angle at P , as shown in the figure. When =30^ , then the electric flux through the cu

JEE Advanced 2024 Solution View → 72

An infinitely long thin wire, having a uniform charge density per unit length of 5 nC / m , is passing through a spherical shell of radius 1 ~m , as shown in the figure. A 10 nC ch

JEE Advanced 2024 Solution View → 73

Two beads, each with charge q and mass m , are on a horizontal, frictionless, non-conducting, circular hoop of radius R . One of the beads is glued to the hoop at some point, while

JEE Advanced 2024 Solution View → 74

Five charges +q,+5 q,-2 q,+3 q and -4 q are situated as shown in the figure. The electric flux due to this configuration through the surface S is :

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An electric field E =(2 x i ) N C⁻¹ exists in space. A cube of side 2 ~m is placed in the space as per figure given below. The electric flux through the cube is ______ Nm ^2 / C .

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At the centre of a half ring of radius R =10 ~cm and linear charge density 4 n C m ⁻¹ , the potential is x V . The value of x is _______

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If the net electric field at point P along Y axis is zero, then the ratio of | q₂ q₃ | is 8 5 x , where x= _____.

JEE Main 2024 Solution View → 78

Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:

JEE Main 2024 Solution View → 79

An electric field, E = 2 i +6 j +8 k 6 passes through the surface of 4 ~m ^2 area having unit vector n = ( 2 i + j + k 6 ) . The electric flux for that surface is ______ Vm .

JEE Main 2024 Solution View → 80

Two identical conducting spheres P and S with charge Q on each, repel each other with a force 16 ~N . A third identical uncharged conducting sphere R is successively brought in con

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Ques: is the uniform surface charge density of a thin spherical shell of radius R . The electric field at any point on the surface of the spherical shell is :

JEE Main 2024 Solution View → 82

Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point P is x _o . The value of x is _______ (all quantities are meas

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The vehicles carrying inflammable fluids usually have metallic chains touching the ground :

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The electric field at point p due to an electric dipole is E . The electric field at point R on equitorial line will be E x . The value of x :

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A charge q is placed at the center of one of the surface of a cube. The flux linked with the cube is:

JEE Main 2024 Solution View → 86

An infinitely long positively charged straight thread has a linear charge density Cm ⁻¹ . An electron revolves along a circular path having axis along the length of the wire. The g

JEE Main 2024 Solution View → 87

An infinite plane sheet of charge having uniform surface charge density + _s C / m ^2 is placed on x-y plane. Another infinitely long line charge having uniform linear charge densi

JEE Main 2024 Solution View → 88

C 1 and C 2 are two hollow concentric cubes enclosing charges 2 Q and 3 Q respectively as shown in figure. The ratio of electric flux passing through C 1 and C 2 is:

JEE Main 2024 Solution View → 89

Suppose a uniformly charged wall provides a uniform electric field of 2 × 10 4 N C - 1 normally. A charged particle of mass 2 g being suspended through a silk thread of length 20 c

JEE Main 2024 Solution View → 90

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle θ with each other. When suspended in water the angle remains the same. If density

JEE Main 2024 Solution View → 91

Force between two point charges q 1 and q 2 placed in vacuum at r cm apart is F . Force between them when placed in a medium having dielectric K = 5 at r 5 cm apart will be:

JEE Main 2024 Solution View → 92

The distance between charges + q and - q is 2 l and between + 2 q and - 2 q is 4 l . The electrostatic potential at point P at a distance r from centre O is - α q l r 2 × 10 9 V ,

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Two charges q and 3 q are separated by a distance ‘ r ’ in air. At a distance x from charge q , the resultant electric field is zero. The value of x is :

JEE Main 2024 Solution View → 94

A particle of charge - q and mass m moves in a circle of radius r around an infinitely long line charge of linear density + λ . Then time period will be given as: (Consider k as Co

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Two identical charged spheres are suspended by strings of equal lengths. The string make an angle of 37 ° with each other. When suspended in a liquid of density 0 . 7 g cm - 3 , th

JEE Main 2024 Solution View → 96

The electrostatic potential due to an electric dipole at a distance r varies as :

JEE Main 2024 Solution View → 97

An electric field is given by ( 6 i ^ + 5 j ^ + 3 k ^ ) N C - 1 . The electric flux through a surface area 30 i ^ m 2 lying in YZ-plane(in SI unit) is:

JEE Main 2024 Solution View → 98

An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet S having surface charge density + σ . The electron at t = 0 is at a dist

JEE Main 2024 Solution View → 99

Two charges of 5 Q and - 2 Q are situated at the points ( 3 a , 0 ) and ( - 5 a , 0 ) respectively. The electric flux through a sphere of radius 4 a having centre at origin is:

JEE Main 2024 Solution View → 100

Match List I with List II Chose the correct answer from the options given below

JEE Main 2024 Solution View → 101

The electric potential at the surface of an atomic nucleus ( Z = 50 ) of radius 9 × 10 - 13 cm is α × 10 6 V . What is the value of α ? (Charge of proton 1 . 6 × 10 - 19 C )

JEE Main 2024 Solution View → 102

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R) Assertion (A) : Work done by electric field on moving a positive charge on

JEE Main 2024 Solution View → 103

Two charges of - 4 μC and + 4 μC are placed at the points A ( 1 , 0 , 4 ) m and B ( 2 , - 1 , 5 ) m located in an electric field E → = 0 . 20 i ^ V cm - 1 . The magnitude of the to

JEE Main 2024 Solution View → 104

An electric charge 10 - 6 μ C is placed at origin ( 0 , 0 ) m of X - Y co-ordinate system. Two points P and Q are situated at ( 3 , 3 ) m and ( 6 , 0 ) m respectively. The potentia

JEE Main 2024 Solution View → 105

A thin metallic wire having cross sectional area of 10 - 4 m 2 is used to make a ring of radius 30 cm . A positive charge of 2 π C is uniformly distributed over the ring, while ano

JEE Main 2024 Solution View → 106

An electric dipole is formed by two charges + q and - q located in x y -plane at ( 0 , 2 ) mm and ( 0 , − 2 ) mm , respectively, as shown in the figure. The electric potentia

JEE Advanced 2023 Solution View → 107

The electric field due to a short electric dipole at a large distance r from center of dipole on the equatorial plane varies with distance as :

JEE Main 2023 Solution View → 108

A 10 μ C charge is divided into two parts and placed at 1 cm distance so that the repulsive force between them is maximum. The charges of the two parts are:

JEE Main 2023 Solution View → 109

Three point charges q , - 2 q and 2 q are placed on x axis at a distance x = 0 , x = 3 4 R and x = R respectively from origin as shown. If q = 2 × 10 - 6 C and R = 2 cm , the

JEE Main 2023 Solution View → 110

Two charges of each magnitude 0 . 01 C and separated by a distance of 0 . 4 mm constitute an electric dipole. If the dipole is placed in an uniform electric field E → of 10 d

JEE Main 2023 Solution View → 111

A thin infinite sheet charge and an infinite line charge of respective charge densities + σ and + λ are placed parallel at 5 m distance from each other. Points P and Q ar

JEE Main 2023 Solution View → 112

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R . Assertion A : If an electric dipole of dipole moment 30 × 10 – 5 C

JEE Main 2023 Solution View → 113

If V is the gravitational potential due to sphere of uniform density on its surface, then its value at the centre of sphere will be:

JEE Main 2023 Solution View → 114

As shown in the figure, a configuration of two equal point charges q 0 = + 2 μ C is placed on an inclined plane. Mass of each point charge is 20 g . Assume that there is no fr

JEE Main 2023 Solution View → 115

An electron revolves around an infinite cylindrical wire having uniform linear charge density 2 × 10 - 8 C   m - 1 in circular path under the influence of attractive elec

JEE Main 2023 Solution View → 116

Three concentric spherical metallic shells X , Y and Z of radius a , b and c respectively a < b < c have surface charge densities σ , – σ and σ , respe

JEE Main 2023 Solution View → 117

Electric potential at a point P due to a point charge of 5 × 10 - 9 C is 50 V . The distance of P from the point charge is: (Assume, 1 4 π ε 0 = 9 × 10 9 N m 2

JEE Main 2023 Solution View → 118

Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius R , with distance r from the centre O is represented by:

JEE Main 2023 Solution View → 119

An electric dipole of dipole moment is 6 . 0 × 10 - 6 C m placed in a uniform electric field of 1 . 5 × 10 3 N C - 1 in such a way that dipole moment is along electric fi

JEE Main 2023 Solution View → 120

A dipole comprises of two charged particles of identical magnitude q and opposite in nature. The mass m of the positive charged particle is half of the mass of the negative charged

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