Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: Uttar Pradesh Board-2020

Two equal and opposite charges of $2.0$ micro-coulombs are situated at a distance of $3.0 \mathrm{cm}$. Its electric dipole moment will be

Use Gauss's law to find the electric field at a point outside the uniformly charged spherical shell.

Obtain the formula of torque acting on an electric dipole in a uniform electric field. Two point charges of $+1\times {10}^{-6}$ coulomb and $-1\times {10}^{-6}$ coulomb are situated at a distance of $2.0 \mathrm{cm}$. The electric dipole is placed in a uniform electric field of $1\times {10}^5 \raisebox{1ex}{$\mathrm{volt}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{metre}$}\right.$. Find the potential energy of the dipole in stable equilibrium.

Four point charges $\mathrm{Q}, \mathrm{q}, \mathrm{Q}$ and $\mathrm{q}$ are placed at the corners of a square of side $a$ as shown in the figure.

Find

$\left(\mathrm{i}\right)$ the resultant electric force on a charge ${\mathrm{Q}}_1$ 

Obtain the formula for the intensity of electric field near a long charged wire with the help of Gauss' law. Linear charge density of wire is $\mathrm{\lambda } {\mathrm{Cm}}^{-1}$