Electrostatics

Two parallel infinite line charges with linear charge densities $+\lambda\,Cm^{-1}$ and $-\lambda\,Cm^{-1}$ are placed at a distance of $2R$ in free space. What is the electric field mid-way between the two-line charges?

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

A dipole is placed in an electric field as shown. In which direction will it move?

Two charged spherical conductors of radius $R_{1}$ and $R_{2}$ are connected by a wire. Then the ratio of surface charge densities of the spheres $\left(\sigma\,_{1}/\sigma\,_{2}\right)$ is :

An electric dipole is placed as shown in the figure. The electric potential (in $10^{2}V$) at point $P$ due to the dipole is ($\epsilon\,_{0}$=permittivity of free space and$\frac{1}{4\pi\,\epsilon\,_{0}}=K$)

If$\underset{S}{\oint\,}\vec{E}\cdot\,d\vec{S}=0$ over a surface, then:

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

Suppose the charge of a proton and an electron differ slightly. One of them is $e$, the other is $\left(e+\Delta\,e\right)$. If the net electrostatic force and gravitational force between two hydrogen atoms placed at a…

In a cuboid of dimension $2L\times\,2L\times\,L$ , a charge $q$ is placed at the centre of the surface $S$having area of $4L^{2}$ . The flux through the opposite surface to $S$is given by

A thin spherical shell of radius $R$ has charge $Q$ spread uniformly over its surface. Which of the following graphs most closely represents the electric field $E(r)$ produced by the shell in the range $0 \leq$ $r <…

A charge $Q$ is placed at a distance $\frac{a}{2}$ above the centre of a square surface of side length $a$. The electric flux through the square surface due to the charge would be?

A vertical electric field of magnitude $4.9\times\,10^{5}NC^{-1}$ just prevents a water droplet of a mass $0.1g$ from falling. The value of charge on the droplet will be : (Given $g=9.8ms^{-2}$)