Electrostatics

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. The work done in taking a charge Q from D to E is

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/meter, is

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 \(\theta\) with the horizontal side of the square as shown in figurre.

The electric fl...

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 missing from each ion will be (e being the charge on an electron)

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 distance \({R \over 2}\) from the centre of the sphere is

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

Three concentric spherical shells have radii a, b and c (a < b < c) anf have surface charge densities \(\sigma\), \(-\)\(\sigma\) and \(\sigma\) respectively. If VA, VB and VC denote the potentials of the three shells, then, for c = a + ...

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 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 is E. The electric field at the centre due to the charge on the part ACDB of the ring 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 linked with the plane surface A in units of V-m will be

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 moving a charge + Q along the semicircle CRD is

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. The magnitude and direction of the electric dipole moment vector of this charge assembly ...

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 paper is limited only to the lower half of the square surface (see figure). The electric flux...

An electric dipole of moment \(\overrightarrow p\) is lying along a uniform electric field \(\overrightarrow E\). The work done in rotating the dipole by 90o is

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, \(a\))] to another point B

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 D.
The change in the potential energy of the system is $${{{q_3}} \over {4\pi {\varepsil...

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 speed of 10 m/s ?

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 is along the direction of the field, the force on it and its potential energy are respecti...

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 of cube will be

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

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

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