Electrostatics

The positively charged particle is released from the rest in a uniform electric field. The electric potential energy of the charge a. decreases because the charge moves along the electric field. b. decreases because the…

The electric potential 'V' as a function of distance x (in metre) is $V = 4x^2 + 6x - 8$ volt. Electric field at $x = 2$ m is

Three electric charges $2q$, $2q$, $-4q$ are placed at the corners of equilateral triangle of side $'x'$. The magnitude of electric dipole moment of the system is

Three metallic spherical shells (not concentric) of radii R, 2R and 4R are given charges $Q_1$, $Q_2$ and $Q_3$ respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal.…

Two point charges $+3$ C and $+6$ C separated by a distance 'r' , repel each other with a force of 27 N. If each of the above charges is given an additional charge of $-5$ C, the force experienced by them is

A hollow metal sphere of radius $5\ \text{cm}$ is charged such that the potential on its surface is $10\ \text{V}$. The electric field at its centre is

The electric potential due to a dipole at point P making an angle $120^\circ$ with the axis of a dipole is ($\varepsilon_0$ = permitivity of free space, $p$ = electric dipole moment , $r$ = distance of point P from the…

Four point charges $-Q$, $-q$, $2q$ and $3Q$ are placed at corners of the square respectively. The relation between $Q$ and $q$ for which the potential at the centre of the square is zero, is

Which of the following statements is NOT TRUE for polar molecule? a. In polar molecule the centre of mass of positive charges coincide with the centre of mass of negative charges. b. They have permanent dipole moment.…

Four point charges $-Q,-q, 2 q$ and $2 Q$ 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

The electric field versus distance graph is shown as given. Select the correct statement from the following. E- electric field R-radius r - distance from the centre

Three charges $-q,+Q$ and $-q$ are placed at equal distances along a straight line. If the total $P E$ of the system is zero, then the ratio $Q / q$ becomes