Embibe Experts Solutions for Chapter: Electrostatics, Exercise 1: Assam CEE 2016

In the figure the net torque acting on the dipole is

An electric dipole is formed with two point charges $+3.2\times {10}^{-19} \mathrm{C}$ and $-3.2\times {10}^{-19} \mathrm{C}$ and separated by a distance of $2.4\times {10}^{-10} \mathrm{m}$. The work done in rotating the dipole through $180°$ from the position of equilibrium in a uniform electric field $4\times {10}^5 {\mathrm{Vm}}^{-1}$ is

A charge $q$ sits at the black corner of a cube as shown in the following figure:

What is the electric flux through the shaded side?

A total charge $Q$ is uniformly distributed over a long rod $\mathrm{AB}$ of length $L$ as shown in the figure below. The electric potential at the point $\mathrm{O}$ lying at a distance $\frac{L}{2}$ from the end $\mathrm{A}$ is

A sphere has a constant electric potential $V$ on its surface. If there are no charges inside the sphere, the potential at the centre of the sphere is

The following figure shows two point charges $+q$ and $-q$ and a metal rod of length $L$ carrying a charge $-q$ with a part $\frac{L}{3}$ of its length inside a cubical box. The electric flux linked with the box will be,

Two equal point charges of $1 \mu \mathrm{C}$ each are located at points $(\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}) \mathrm{m}$ and $(2\hat{\mathrm{i}}+3\hat{\mathrm{j}}-\hat{\mathrm{k}}) \mathrm{m}$. What is the magnitude of electrostatic force between them?

Three infinite long plane sheets of uniform charge densities, ${\sigma }_1=-5\sigma \text{,} {\sigma }_2=+2\sigma$ and ${\sigma }_3=3\sigma$ are placed parallel to each other as shown in the figure below. The electric field at point $P$ will be,