Electrostatics

Four infinitely large planar charged sheets are placed parallel to each other as shown in Figure 1. Find the magnitude of electric field at point P.

Consider a thin spherical shell of radius R with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $E(r)$ and electric potential $V(r)$ with…

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

A closed surface encloses $n$ electric dipoles. The net electric flux through the closed surface is ($\epsilon_0$ = permittivity of free space, q = charge)

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

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.…

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…

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

Three point charges $q_1 = 1\ \mu\text{C}$, $q_2 = -2\ \mu\text{C}$, and $q_3 = 3\ \mu\text{C}$ are placed at $(1, 0, 0)$, $(0, 2, 0)$ and $(0, 0, 3)$ respectively. The electric potential at origin is…

The electric field at a point in a certain region of free space due to a charge Q is 0. The electric potential at that point 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…