Six charges +q, $$-$$q, +q, $$-$$q, +q, and $$-$$q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a...

The angle between the electric lines of force and the equipotential surface is

Two hollow conducting spheres of radii R1 and R2 (R1 >> R2) have equal charges. The potential would be...

Two point charges $$-$$q and +q are placed at a distance of L, as shown in the figure. The magnitude of electric field intensity at a distance R(R &g...

Polar molecules are the molecules :

A dipole is placed in an electric field as shown. In which direction will it move?...

Two charged spherical conductors of radius R1 and R2 are connected by a wire. Then the ratio of surface charge densities of the spheres ($$\sigma$$1 /...

Column - I gives certain physical terms associated with flow of current through a metallic conductor. Column-II gives some mathematical relations invo...

Twenty seven drops of same size are charged at 220V each. They combine to form a bigger drop. Calculate the potential of the bigger drop.

A short electric dipole has a dipole moment of 16 $$ \times $$ 10-9 Cm. The electric potential due to the dipole at a point at a distance of 0.6 m fro...

The capacitance of a parallel plate capacitor with air as medium is 6$$\mu $$F. With the introduction of a dielectric medium, the capacitance become 3...

In a certain region of space with volume 0.2 m3, the electric potential is found to be 5 V throughout. The magnitude of electric field in this region ...

A spherical conductor of radius 10 cm has a charge of 3.2 $$ \times $$ 10-7 C distributed uniformly. That is the magnetude of electric field at a poin...

A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre :

Two point charges A and B, having charges +Q and – Q respectively, are placed at certain distance apart and force acting between them is F. If 25% cha...

A parallel plate capacitor of capacitance 20 $$\mu $$F is being charged by a voltage source whose potential is changing at the rate of 3V/s. The cond...

Two parallel infinite line charges with linear charge densities +$$\lambda $$ C/m and -$$\lambda $$ C/m are placed at a distance of 2R in free space. ...

The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is

An electron falls from rest through a vertical distance h in a uniform and vertically upward directed electric field E. The direction of electric fiel...

A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field $$\overrightarrow E $$ . Due ...

A capacitor is charged by a battery. The battery is removed and another identical unchanged capacitor is connected in parallel. The total electrostati...

Suppose the charge of a proton and an electron differ slightly. One of them is $$-$$e, the other is (e + $$\Delta $$e). If the net of electrostatic fo...

The diagrams below show regions of equipotentials. A positive charge is moved from A to B in each diagram. ...

An electric dipole is placed at an angle of 30o with an electric field intensity 2 $$ \times $$ 105 N C$$-$$1. It experiences a torque equal to 4 N m....

A parallel-plate capacitor of area a, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k1, k2...

A capacitor of 2 $$\mu $$F is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipa...

Two identical charged spheres suspended from a common point by two massless strings of lengths $$l$$, are initially at a distance d(d < < $$l...

A parallel plate air capacitor has capacity C, distance of separation between plates is d and potential difference $$V$$ is applied between the plates...

If potential (in volts) in a region is expressed as V(x, y, z) = 6xy $$-$$ y + 2yz, the electric field (in N/C) at point (1, 1, 0) is

A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dieletric constant...

The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centred at the ...

In a region, the potential is represented by V(x, y, z) = 6x $$-$$ 8xy $$-$$ 8y + 6yz,   where $$V$$ is in volts and x, y, z are in metres. ...

A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere rrespectively are

Two thin dielectric slabs of dielectric constants K1 and K2(K1 < K2) are inserted between plates of a parallel plate capacitor, as shown in the fig...

A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to

An electric dipole of dipole moment p is aligned parallel to a uniform electric field E. The energy required to rotate the dipole by 90o is ...

Two pith balls carrying equal charges are suspended from a common point by strings of equal length, the equilibrium separation between them is r. Now ...

A, B and C are three points in a uniform electric field. The electric potential is ...

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each pl...

Two metallic spheres of radii 1 cm and 3 cm are given charges of $$-$$1 $$ \times $$ 10$$-$$2 C and 5 $$ \times $$ 10$$-$$2 C, respectively. If these...

An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an...

Four point charges $$-$$Q, $$-$$q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the...

What is the flux through a cube of side $$a$$ if a point charge of q is at one of its corner?

The electric potential V at any point (x, y, z), all in metres in space is given by V = 4x2 volt. The electric field at the point (1, 0, 2) in volt/me...

Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2$$a$$. D and E are the mid points of BC and CA. Th...

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each pl...

Four electric charges +q, +q, $$-$$ q and $$-$$ q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, mi...

A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will

Two parallel metal plates having charges +Q and $$-$$Q face each other at a certain distance between them. If the plates are now dipped in kerosene oi...

The electric field at a distance $${{3R} \over 2}$$ from the centre of a charged conducting spherical shell of radius R is E. The electric field at a ...

Two positives ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons ...

A square surface of side L meter in the plane of the paper is placed in a uniform electric field $$E$$(volt/m) acting along the same plane at an angle...

A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4V. When another parallel combination of n2 c...

Three concentric spherical shells have radii a, b and c (a < b < c) anf have surface charge densities $$\sigma $$, $$-$$$$\sigma $$ and $$\sigma...

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltages of the combination will...

The electric potential at a point (x, y, z) is given by V = $$-$$x2y $$-$$ xz3 + 4 The electric field at that point is

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each pl...

A thin conducting ring of radius R is given a charge +Q. The electric field at the centre O of the ring due to the charge on the part AKB of the ring ...

The electric potential at a point in free space due to charge Q coulomb is Q $$ \times $$ 1011 volts. The electric field at that point is

A hollow cylinder has a charge q coulomb within it. If $$f$$ is the electric flux in units of voltmeter associated with the curved surface B, the flux...

Charges +q and $$-$$q are placed at points A and B respectively which are a distance 2L apart, C is the midnight between A and B. The work done in mov...

Three point charges +q, $$-$$ 2q and + q are placed at points (x = 0, y = a, z = 0), (x = 0, y = 0, z = 0) and (x = $$a$$, y = 0, z = 0) respectively....

Two condensers, one of capacity C and other of capacity C/2 are connected to a V-volt battery, as shown in the figure. The work done in charging fully...

A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery the distance between the plat...

A square surface of side L metres is in the plane of the paper. A uniform electric field $$\overrightarrow E $$ (volt/m), also in the plane of the pap...

An electric dipole of moment $$\overrightarrow p $$ is lying along a uniform electric field $$\overrightarrow E $$. The work done in rotating the dipo...

A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of...

As per the diagram a point charge +q is placed at the origin O. Work done in taking another point charge $$-$$Q from the point A [coordinates (0, $$a...

Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to ...

A bullet of mass 2 g is having a charge of 2 $$\mu $$C. Through what potential difference must it be accelerated, starting from rst, to acquire a spee...

An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment ...

Three capacitors each of capacity 4 $$\mu $$F are to be connected in such a way that the effective capacitance is $$6\mu F.$$ This can be done by

A charge q is located at the centre of a cube. The electric flux through any face is

Identical charges ($$-$$q) are placed at each corners of cube of side b then electrostatic potential energy of charge (+q) which is placed at centre o...

Some charge is being given to a conductor. Then its potential is

A capacitor of capacity C1 charged upto V volt and then connected to an uncharged capacitor of capacity C2. The final potential difference across each...

A dipole of dipole moment $$\overrightarrow p $$ is placed in uniform electric field $$\overrightarrow E $$ then torque acting on it is given by

A charge Q$$\mu $$C is placed at the centre of a cube, the flux coming out from each face will be

Energy per unit volume for a capacitor having area A and separation d kept at potential difference V is given by

Electric field at centre O of semicircle of radius $$a$$ having linear charge density $$\lambda $$ given as ...

A charge Q is situated at the corner of a cube, the electric flux passed through all the six faces of the cube is

A capacitor is charged with a battery and energy stored is U. After disconnecting battery another capacitor of same capacity is connected in parallel ...