Electrostatics

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

An electric dipole is placed on $x-$axis in proximity to a line charge of linear charge density $3.0\times\,10^{-6}Cm^{-1}.$Line charge is placed on $z-$axis and positive and negative charge of dipole is at a distance…

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 long cylindrical volume contains a uniformly distributed charge of density $\rho\,$. The radius of cylindrical volume is $R$. A charge particle $\left(q\right)$revolves around the cylinder in a circular path. The…

Two charged thin infinite plane sheets of uniform charge density $\sigma\,_{+}$ and $\sigma\,_{-}$, where $\left|\sigma\,_{+}\right|>\left|\sigma\,_{-}\right|$, intersect at the right angle. Which of the following best…

A two point charges $4q$ and $-q$ are fixed on the $x$ -axis at $x=\frac{-d}{2}$ and $x=\frac{d}{2}$, respectively. If the third point charge '$q$ ' is taken from the origin to $x=d$ along the semicircle as shown in the…

A charge $q$is placed at one corner of a cube as shown in figure. The flux of electrostatic field$\vec{E}$ through the shaded area is:

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?

Two ideal electric dipoles $A$ and $B$, having their dipole moment $p_{1}$ and $p_{2}$ respectively are placed on a plane with their centres at $O$ as shown in the figure. At point $C$ on the axis of dipole $A$, the…

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 $g=9.8ms^{-2}$)

Two long currents carrying thin wires, both with current $I$, are held by insulating threads of length L and are in equilibrium as shown in the figure, with threads making an angle ' $\theta\,$ ' with the vertical. If…

The three charges $\frac{q}{2},q$and $\frac{q}{2}$are placed at the corners $A,D$ and $C$ of a square of side $a$as shown in figure. The magnitude of electric field $\left(E\right)$at the corner $B$ of the square, is