Two charges +q and −q are separated by distance 2a. Electric field at a far axial point at distance r from centre, where r ≫ a, is:

Electric field on the equatorial line of an electric dipole at a far point distance r is:

A uniformly charged ring of radius R and charge Q produces maximum electric field on its axis at:

A charge q is placed at the centre of a cube. Electric flux through one face of the cube is:

A charge q is placed at one corner of a cube. Total electric flux through the cube is:

Inside a uniformly charged non-conducting solid sphere, electric field varies with distance r from centre as:

Electric field inside a charged conductor in electrostatic equilibrium is:

Torque on an electric dipole in uniform electric field is maximum when angle between dipole moment and electric field is:

Potential energy of an electric dipole in uniform electric field is minimum when dipole moment is:

Work done in rotating a dipole from stable equilibrium to perpendicular position in electric field E is:

A charged particle of mass m and charge q starts from rest in uniform electric field E. Speed after moving distance s is:

A charged particle enters a uniform electric field with velocity perpendicular to the field. Its trajectory is:

If one of two charges is doubled and distance between them is halved, electrostatic force becomes:

Two identical conducting spheres carry charges Q and 0. After touching and separating, charge on each sphere is:

Electric field due to an infinite plane sheet of charge is:

Net electric flux through a closed surface depends only on:

A uniformly charged thin spherical shell has charge Q and radius R. Electric field at a point inside the shell is:

Two infinite parallel sheets carry charge densities +σ and −σ. Electric field between them is:

A charge q is placed inside a neutral conducting spherical shell without touching it. Charge induced on inner surface of shell is:

The SI unit of electric flux is:

A point charge +q is placed at a distance x from the centre on the axis of a uniformly charged ring of radius R and charge Q. The force on q is maximum when x is:

A thin circular ring of radius R carries charge Q uniformly. Electric field at its centre is:

A uniformly charged semicircular arc has radius R and total charge Q. Electric field at its centre is proportional to:

A charge q is placed at the centre of a regular tetrahedron. Total flux through one face is:

If electric field in a region is uniform, then net electric flux through any closed surface placed in that region is:

A spherical Gaussian surface encloses charges +q, +2q and −q. Total electric flux through the surface is:

A point charge is placed outside a closed Gaussian surface. Net electric flux through the surface due to this charge is:

For a point charge q, if radius of spherical Gaussian surface is doubled, electric flux through the surface becomes:

A conducting sphere of radius R has charge Q. Surface charge density is:

Electric field just outside a charged conducting surface having surface charge density σ is:

A charged conductor has a sharp pointed end and a broad flat end. Electric field is greater near:

Two charges +Q and +4Q are separated by distance d. The point where net electric field is zero lies:

Two charges +Q and −4Q are separated by distance d. The point where electric field is zero lies:

A dipole is placed in a non-uniform electric field. It may experience:

A dipole is placed in uniform electric field parallel to the field. Net force and torque on it are respectively:

An electric dipole is placed antiparallel to uniform electric field. This equilibrium is:

A charged particle of charge q and mass m is released in uniform electric field E. Its acceleration is:

An electron and a proton are placed in same uniform electric field. Magnitudes of forces on them are:

In the same electric field, acceleration of electron compared with proton is:

If electric field is given by E = ax along x-direction, the charge density in the region is:

A charge is kept inside a neutral conducting shell. Electric field outside the shell is equivalent to field due to:

For a charged conductor having irregular shape, electric field is maximum near:

Electric field due to a uniformly charged disc approaches which value when disc radius becomes very large?

A charged annular disc has inner radius a and outer radius b. Electric field at centre of annulus is:

A charged wire bent into quadrant produces electric field at centre directed along:

A charged pendulum placed in horizontal electric field makes angle θ with vertical because:

Two charged pendulums repel each other. If charge increases, separation between pendulums:

Work done by electric field in moving a charge between two points depends on:

For an electric dipole in electric field, stable equilibrium occurs when dipole moment is:

A cube extends from x = 0 to x = a in electric field E = E₀x along x-direction. Net electric flux through the cube is:

A rod of length L has charge density λ = λ₀x/L. Charge density is maximum at:

A ring has charge density λ = λ₀cosθ. Electric field at centre is directed along:

A semicircular ring has charge density proportional to sinθ. Electric field at centre is along:

A uniformly charged square frame produces electric field at centre which is:

A cube has charges +q and −q alternately at corners. Electric field at centre is:

Six equal charges are placed symmetrically on coordinate axes. Net electric field at origin is:

A charged particle projected in uniform electric field follows trajectory similar to:

Minimum velocity required for a charged particle to cross electric field region increases with:

Two fixed charges create unstable equilibrium for third charge when third charge is placed at:

An oppositely charged particle moving near the centre on the axis of a charged ring can execute SHM because field near centre is:

A charged particle is constrained to move on the axis of a positively charged ring. The equilibrium position at the centre is:

A dipole is placed on the axis of a uniformly charged ring. For small angular displacement, torque on dipole tends to:

A uniformly charged sphere has a spherical cavity inside it. Electric field inside cavity is:

A non-conducting sphere has volume charge density ρ = ρ₀(1 − r/R). Electric field at centre is:

A spherical shell has surface charge density σ = σ₀cosθ. Electric field at centre is directed:

A charged rod placed in external electric field accelerates because:

Two charged beads slide on a smooth circular ring. At equilibrium, electrostatic force is balanced by:

A charged bead moves on a frictionless rod in field of fixed charge Q. As distance tends to infinity, electric potential energy tends to:

Three equal charges lie on a straight line. Charge required at centre for equilibrium must be:

Four equal charges are placed at corners of square. Central charge required for equilibrium of corner charges must be:

A charged particle inside uniformly charged sphere executes SHM because electric field inside sphere is:

Two conducting spheres of radii R and 2R are connected by wire. Ratio of surface charge densities is:

A charged conducting sphere placed near grounded conducting plane experiences:

A point charge near neutral conducting sphere induces:

A Gaussian surface cuts through a charged conductor. Electric field inside conductor is:

A cube is placed in electric field E = ax î + by ĵ + cz k̂. Net flux through cube depends on:

A sphere is placed in field E = kr² r̂. Enclosed charge varies with radius as:

If electric field in space is E = ax² î, charge density at position x is proportional to:

Electric field outside an infinite uniformly charged cylinder varies as:

A long cylindrical charge distribution has volume charge density varying with radius as ρ(r). To find electric field at distance r using Gauss law, enclosed charge should be calculated as:

Two coaxial charged cylinders have equal and opposite linear charge densities +λ and −λ. Electric field outside the outer cylinder is:

For a thin spherical shell having non-uniform surface charge density, Gauss law can directly give electric field only when:

A dipole is placed in non-uniform electric field E = E₀(1 + αx). The dipole experiences net force because:

A dipole enters a non-uniform electric field. For pure translation without rotation, dipole moment should be:

A charged particle passes between two parallel plates with initial velocity u perpendicular to electric field. Its deflection is proportional to:

An electron just avoids hitting the upper plate while passing through a uniform electric field. Minimum speed required increases when:

A proton and an electron enter the same electric field with same speed. Deflection is greater for:

A drop loses electrons and remains suspended in electric field. Number of electrons lost is given by:

A charged oil drop moves upward with terminal velocity in electric field. Charge on drop can be found by balancing:

Two like charges are released from rest. When their separation doubles, kinetic energy gained comes from:

Three identical charges are released from vertices of an equilateral triangle. Their speeds can be found using:

A charged particle is fired towards a fixed like charge and stops momentarily at distance r. At closest approach:

A charge moves in the field of two fixed charges. Turning point is the point where:

A point charge is placed at distance d from centre on the axis of a uniformly charged ring. Force on charge is directed:

Electric field at axial point of uniformly charged disc becomes field of infinite plane sheet when:

A disc has surface charge density σ = σ₀r/R. Charge density is maximum at:

For a finite line charge, electric field at a point is generally resolved into:

A uniformly charged arc subtends angle 2α at centre. Electric field at centre is directed along:

A system has zero net charge but non-zero dipole moment. At large distance, electric field varies as:

A charge configuration can have zero electric field but non-zero potential at a point because: