Charges +q and −q are placed at points A and B respectively which are a distance 2L apart, C is the midpoint between A and B. The work done in moving a charge +Q along the semicircle CRD 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 [coordinates (a, 0)] along the straight path AB is ?

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 q3/4πε0 k, where k is ?

An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively ?

A bullet of mass 2 g is having a charge of 2μC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s ?

Each corner of a cube of side l has a negative charge, −q. The electrostatic potential energy of a charge q at the centre of the cube is ?

A particle of mass m and charge q is placed at rest in a uniform electric field E and then released. The kinetic energy attained by the particle after moving a distance y is ?

In a certain region of space with volume 0.2 m^3 , the electric potential is found to be 5 V throughout. The magnitude of electric field in this region is ?

A short electric dipole has a dipole moment of 16 × 10^−9Cm. The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of 60◦ with the dipole axis is ?

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

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 ?

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. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is ?

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

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

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 centre of the square is zero is ?

Four electric charges +q, +q, −q and −q are placed at the corners of a square of side 2 L (see figure). The electric potential at point A, midway between the two charges +q and +q, is ?

Three concentric spherical shells have radii a, b and c (a < b < c) and have surface charge densities σ, −σ and σ respectively. If VA, VB and VC denotes the potentials of the three shells, then for c = a + b, we have ?

The electric potential at a point (x, y, z) is given by V = −(x^2)y − x(z^3) + 4. The electric field E at that point is ?

The electric potential at a point in free space due to a charge Q coulomb is Q × 10^11 volts. The electric field at that point is ?

A solid spherical conductor is given a charge. The electrostatic potential of the conductor is ?