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 ?

A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 80 V. The potential at the centre of the sphere is ?

Links

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Maths( A+B) ^2 illustration

Intensity of an electric field (E) depends on distance r, due to a dipole, is related as ?

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

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