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?

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$\frac{1}{4\pi\,\epsilon\,_{0}}=K$)

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 :

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…

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:

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

The variation of electrostatic potential with radial distance \$r$ from the centre of a positively charged metallic thin shell of radius \$R$ is given by the graph

If potential(in volts) in a region is expressed as Vx,y,z=6xy-y+2yz, the electric field(in N C-1) at point1,1,0 is

Twenty seven drops of same size are charged at \$220V$ each. They combine to form a bigger drop. Calculate the potential of the bigger drop.

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 meters. The electric force experienced by a charge of \$2$ coulombs situated at point \$(1,1,1)$ is: