Electrostatics — practice questions
161 curated practice questions from Electrostatics (Physics JEE Main, NTA Exams) — 141 easy, 14 hard, 6 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.
- Capacitance (in F) of a spherical conductor having radius 1 m, is
- The electric field in the region is radially outwards and has the magnitude of E = kr. The charge contained in a sphere…
- N identical capacitor are joined in parallel and the combination is charged to a potential V. Now if they are separated…
- Two equal charges q each are placed at a distance of ‘2 a’ and a third charge – 2q is placed at the midpoint. The…
- A capacitor of value 4 µF charged at 50V is connected with another capacitor of value 2µF charged at 100V, in such a…
- The capacitance (C) for an isolated conducting sphere of radius (a ) is given by 4πε 0 a. This sphere is enclosed…
- Which of the following may be discontinuous across a charged conducting surface ?
- In the figure, the equivalent capacitance between A and B is
- An electric dipole is placed at an angle of 30° with an electric field intensity 2 10^ 5 ~N / C . It experiences a…
- Three parallel metallic plates, each of area A are kept as shown in the figure and charges Q 1 , Q 2 and Q 3 are given…
- In the given circuit below, the charge in µC on the capacitor having capacity of 5µF
- Two charge particles having charges 1µC and –1µC and of mass 50 gm each are held at rest while their separation is 2…
- What is the area of the plate of a 3 F parallel plate capacitor, if the separation between the plates is 5 mm?
- Two point charges +2 C and +6 C repel each other with a force of 12 N. If a charge of -4 C is given to each of two…
- An electric dipole is fixed at the origin of coordinates. Its moment is directed in the positive x–direction. A…
- Two charged metallic spheres of radii r 1 and r 2 are touched and separated. What is the ratio of their surface charge…
- Two identical metal spheres charged with +12 μC and — 8 μC are kept at certain distance in air. They are bought into…
- Given below are two statements. STATEMENT - 1: Conductors having equal positive charge and volume must also have the…
- Four metallic plates, each having area A are placed as shown. The distance between the consecutive plates is d…
- Two capacitors C 1 and C 2 are charged to 120 V and 200 V respectively. It is found that by connecting them together…
- A parallel plate condenser has a capacity C. The space between the plates is half filled by oil of dielectric constant…
- Two capacitors of capacitance (6 0.09) F abd (3 0.09) F are connected in series. The equivalent capacitance C with…
- The work done in carrying a charge q once round a circle of radius r with a charge Q at the centre is :
- The electric field strength due a uniformly charged ring of radius R at a distance x from its centre on its axis…
- n small metal drops of same size are charged to V volt each. If they combine to form a single large drop, then its…
- The radius of a spherical Gaussian surface is R and a charge of 10 μC lies at its center. Another equal and opposite…
- A point charge q produces an electric field of magnitude 2 NC -1 at a point distance 0.25 m from it. What is the value…
- A charge q 1 exerts some force on a second charge q 2 . If a third charge q 3 is brought near, the force of q 1 exerted…
- A capacitor connected to a 10 V battery collects a charge of 40 microcoulomb with air as dielectric and 100…
- Two charges, each equal to q, are kept at x = –a and x = a on the x–axis. A particle of mass m and charge q _ 0 = q 2…
- A point charge is placed at a distance r from the centre of an uncharged conducting sphere of radius R (< r). The…
- A parallel plate capacitor is made of two plates of length l , width ω and separated by distance d. A dielectric slab…
- An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius r. The coulomb force F between…
- The distance between two plates of a parallel plate capacitor is slowly increased. A graph is plotted between…
- A solid sphere of radius R is charged uniformly through out the volume. At what distance from its surface is the…
- A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown…
- Two point charges q 1 = + 2C and q 2 = – 1C are separated by a distance d. The position on the line joining the two…
- Two point charges repel each other with a force of 100 N. One of the charges is increased by 10% and other is decreased…
- A spherical conductor has a capacity of 2µF. Its radius will be (ε 0 = 8.85 × 10 –12 S.I. units)
- An electric dipole of dipole moment p is placed in uniform electric field E , with p parallel to E . It is then rotated…
- Let V and E be the potential and electric field respectively at a point due to charge distribution. Which of the…
- A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire embedded in a…
- Given below are two statements. STATEMENT - 1: A capacitor exists with potential difference V. A proton is left near…
- A capacitor of capacitance 1 mF withstands the maximum voltage 6 kV while a capacitor of 2mF withstands the maximum…
- Uniform electric field of intensity 5 volt/m acts parallel to x axis. A charge of 2C is moved from O to A (1,1), to B…
- The equivalent capacitance across A & B is
- Two point charges + 8q and –2q are located at x = 0 and x = L respectively. The location of a point on the x-axis at…
- Two identical conducting balls A and B have positive charges q 1 and q 2 respectively but q 1 ≠ q 2 . The balls are…
- Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the…
- A charge q is placed at (1, 2, 1) and other charge –q is placed at (0, 1, 0) such that they form an electric dipole…
- A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of…
- A charge 3 C experiences a force of 3000 N when placed in a uniform electric field. The potential difference between…
- Four charges +q, +q, –q and –q are placed respectively at the corners A, B, C & D of a square of side a. The potential…
- Find the equivalent capacitance between X and Y.
- Two concentric, thin metallic spheres of radii R 1 and R 2 (R 1 > R 2 ) bear charges Q 1 and Q 2 respectively. Then the…
- On moving a charge of 20 C by 2 cm, 2 J of work is done, then the potential difference between the points is
- Let ( r )= Q R ^ 4 r be the charge density distribution for a solid sphere of radius R and total charge Q. For a point…
- A charge of 5 × 10 –10 C is given to a metal cylinder of length 10 m, placed in air. The electric intensity at a…
- Electric potential in an electric field is given as V = K r , (K being constant), if position vector r =2 i +3 j +6 k …
- A charged oil drop is suspended in uniform field of 3×10 4 V/m, so that it neither falls nor rises. The charge on the…
- If a charge q is placed at the centre of the line joining two equal charges Q each such that the system is in…
- Two short dipoles each of dipole moment p are placed at origin. The dipole moment of one dipole is along x axis, while…
- 64 small drops of mercury, each of radius r and charge q coalesce to form a big drop. The ratio of the surface density…
- The field at a distance r from a long string of charge per unit length λ is
- A charged particle q is shot towards another charged particle Q which is fixed, with a speed v. It approaches Q up to a…
- An electron enters uniform electric field maintained by parallel plates and of value E Vm -1 with a velocity v ms -1 in…
- Two charges placed in air repel each other by a force of 10 -4 N. When oil is introduced between the charges, the force…
- A positive point charge is placed just outside the centre of the flat face of a hemispherical surface in air. The…
- 64 identical spheres of charge q and capacitance C each are combined to form a large sphere. The charge and capacitance…
- In the given circuit if point C is connected to the earth and a potential of +2000 V is given to point A, the potential…
- A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V…
- Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)…
- An air capacitor of capacity C = 10 µF is connected to a constant voltage battery of 12 V. Now the space between the…
- Two parallel plate capacitors whose capacities are C and 2 C respectively, are joined in parallel. These are charged by…
- Two isolated conducting spheres S 1 and S 2 of radius 2 3 R and 1 3 R have 12 C and -3 C charges, respectively, and are…
- A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its plates is…
- The ratio of the electric force between two electrons to the gravitational force between them is of the order of
- A large metal plate, placed on a table has uniform distribution of positive charges. A simple pendulum (time period T)…
- A metal sphere of radius 10 cm is given a charge of 12µC. The force acting on unit area of its surface due to its own…
- The inward and outward electric flux from a closed surface are respectively 8 x 10 3 and 4 x 10 3 units. Then, the net…
- Two point charges +2 coulomb and +6 coulomb repel each other with a force of 12 N. If a charge of –4 coulomb is given…
- Given below are two statements. STATEMENT - 1: The surface of a conductor is an equipotential surface. STATEMENT - 2: A…
- An alpha nucleus of energy 1 2 mv ^ 2 bombards a heavy nuclear target of charge Ze. Then the distance of closest…
- Two point charges q 1 = 4 µC & q 2 = 9 µC are placed 20 cm apart. The electric field due to them will be zero on the…
- A thin semi-circular ring of radius r has a positive charge distributed uniformly over it. The net field E at the…
- Two pith balls each of mass 1 gm and each carrying a charge of 1µC are attached to ends of silk threads 1m long the…
- Given below are two statements. STATEMENT - 1: For metallic surfaces connected to each other, charge accumulates more…
- Three charges 2q, –q, –q are located at the vertices of an equilateral triangle. At the circumcentre of the triangle
- A parallel plate capacitor is charged and the charging battery is then disconnected. If the plates of the capacitor are…
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. STATEMENT - 1…
- A hollow hemisphere of radius R is charged uniformly with surface charge density of σ. What will be the potential at…
- The electric potential at a point (x, y, z) is given by y=-x^ 2 y-x z^ 3 +4 . The electric field at that point is
- Charges are placed on the vertices of a square as shown. Let E be the electric field and V the potential at the centre…
- Two capacitors marked 10µF, 400 volt and 4µF, 100 volt are connected in series. What is the maximum safe potential that…
- Two equal metal balls are charged to 10 and — 20 units of electricity. Then, they are brought in contact with each…
- Two large conducting plates parallel to each other are placed close to each other. The inner surfaces of two plates…
- The capacity of a parallel plate capacitor is C. Its capacitance when the separation between the plate is halved will be
- Effective capacitance of parallel combination of two capacitors C 1 and C 2 is 10 F. When these capacitors are…
- An automobile spring extends 0.2 m for 5000 N load. The ratio of potential energy stored in this spring when it has…
- An infinite number of identical capacitors each of capacitance 1mF are connected as in adjoining figure. Then the…
- Two positive charges of magnitude q are placed at the ends of a side 1 of a square of side 2a. Two negative charges of…
- A parallel plate capacitor of capacitance C (without dielectrics) is filled by dielectric slabs as shown in figure…
- A capacitor made of two circular plates each of radius 12 cm and separated by 5.0 mm. The capacitor is being charged by…
- A spherically symmetric charge distribution is characterised by a charge density having the following variation: (r)= _…
- The capacities of two conductors are C 1 and C 2 and their respective potentials are V 1 and V 2 . If they are…
- What is the largest charge a metal ball of 1mm radius can hold? Dielectric strength of air is 3×10 6 Vm –1 .
- Three charges – q 1 , + q 2 and – q 3 are placed as shown in the figure. The x-component of the force on – q 1 is…
- A charge q is located at the centre of a cube. The electric flux through any face is :
- The magnitude of the average electric field normally present in the atmosphere just above the surface of the Earth is…
- A 5 µF capacitor is fully charged across a 12 V battery. It is then disconnected from the battery and connected to an…
- A parallel plate capacitor with a slab of dielectric constant 3 filling the whole space between the plates is charged…
- A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell…
- The electric field in a region of space is given by, E =E_ 0 i +2 E_ 0 j where E 0 = 100 N/C. The flux of this field…
- The electric field due to a small dipole at a distance r from its center in axial position is E a . At what distance an…
- A dielectric slab is placed between the plates of a parallel plate capacitor. The capacitor is connected to a cell and…
- Two free charges q and 4q are placed at a distance d apart. A third charge Q is placed between them at a distance x…
- In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distance…
- Capacitance (in F) of a spherical conductor with radius 1 m is
- Five identical plates are connected across a battery as follows : If the charge on plate 1 be +q, then the charges on…
- Four identical plates 1,2,3 and 4 are placed parallel to each other at equal distance as shown in the figure. Plates 1…
- In the figure shown the plates of a parallel plate capacitor have unequal charges. Its capacitance is ‘C’. P is a point…
- The electric potential in a certain region of space is given by V = –3x 2 + 2x, where x is in meter and V is in volt…
- For the circuit shown, which of the following statements is true ?
- Two parallel plate capacitors of capacity C and 2C are connected in parallel and charged to a potential difference V…
- Two capacitors of capacitances 3µF and 6µF are connected in series across a P.D. of 400 volt. The P.D. across each…
- A parallel plate air capacitor has capacity 'C' distance of separation between plates is 'd' and potential difference…
- Charge of +q, +2q, +q and –q are placed at the corners of a square ABCD, calculate the electric field at the…
- A charged particle with charge q is shot towards another charged particle with charge Q which is fixed, with a speed v…
- The distance between H + and Cl – ions in HCl molecule is 1.28Å. What will be the potential due to this dipole at a…
- An electron of 100 eV is fired directly towards a metal plate having surface charge density of –2 × 10 –6 Cm –2 . What…
- There are four capacitors which have same plate area, dielectric medium but different distances between the plates. A…
- A parallel plate condenser with a dielectric of dielectric constant K between the plates has a capacity C and is…
- Let there be a spherically symmetric charge distribution with charge density varying as (r)= _ a ( 5 4 - r R ) up to r…
- The electric field required to keep a water drop of mass m and charge e just to remain suspended is :
- An electric charge 10 –3 µC is placed at the origin (0, 0) of X-Y coordinate system. Two points A and B are situated at…
- Two capacitor having capacitance 8 mF and 16mF have breaking voltage 20V & 80 V. They are combined in series. The…
- A conducting sphere of radius R and carrying charge Q is joined to an uncharged conducting sphere of radius 2R. The…
- Two copper balls, each weighing 10 g are kept in air 10 cm apart. If one electron from every 10 6 atoms is transferred…
- Given below are two statements. STATEMENT - 1: Electric potential of the Earth is taken to be zero on the surface…
- In finding the electric field using Gauss Law the formula | E |= q_ k n k _ n |A| is applicable. In the formula 0 is…
- A capacitor of capacitance 6 μF charged up to 100 volt. The energy stored in the capacitor is
- A cube of side 10 cm encloses a charge of 0.1 µC at its centre. What is number of fields lines through each face of the…
- The distance between plates of a parallel plate capacitor is ‘d’. Another thick metal plate of thickness d/2 and area…
- Three plates A,B and C each of area 0.1 m 2 are separated by 0.885 mm from each other as shown in the figure. A 10V…
- A charge Q is placed at each of the opposite corners of a square. A charge q is placed at each of the other two…
- Two conducting spheres of radii R 1 and R 2 are charged with charges Q 1 and Q 2 respectively. On bringing them in…
- Three identical particles of charge Q and mass m are placed such that they form an equilateral triangle of side I . If…
- Dielectric sheet placed between the plates of parallel plate capacitor. Now capacitor is charged and battery is…
- Two charges of 4 µC each are placed at the corners A and B of an equilateral triangle of side length 0.2 m in air. The…
- A 40 µF capacitor in a defibrillator is charged to 3000 V. The energy stored in the capacitor is sent through the…
- Electric potential at equatorial point of a small dipole with dipole moment p (At r, distance from the dipole) is
- The potential at a point x (measured in µm) due to some charges situated on the x-axis is given by : V (x) = 20/(x 2 –…
- There exists a non-uniform electric field along x-axis as shown in figure. The field increases at a uniform rate along…
- An electric dipole is placed at an angle of 30º to a non-uniform electric field. The dipole will experience
- If the electric flux entering and leaving an enclosed surface respectively is _ 1 and _ 2 , the electric charge inside…
- The electric potential at a point in free space due to a charge Q coulomb is Q x 10 11 V. The electric field at that…
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. STATEMENT - 1…
- In a parallel–plate capacitor, the region between the plates is filled by a dielectric slab. The capacitor is charged…
- Assume that an electric field E =30 x ^ 2 i exists in space. Then the potential difference V A – V O’ Where V O is the…
- A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance…
- If the electric flux entering and leaving an enclosed surface respectively is φ 1 and φ 2 , the electric charge inside…