Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: assam board-2018

Apply Gauss's law to derive the expression for electric field intensity due to an infinitely long straight uniformly charged wire. What is the direction of the field intensity it is positively charged?

Derive the expression for field intensity due to an electric dipole in vacuum for points on its axis. Compare the variation of field intensity with distance for an electric dipole and a point charge when both are kept in a vacuum.

Mention one similarity between Coulomb forces and gravitational forces acting between two stationary charges. 

 Define one coulomb charge. Two point charges at a distance $\mathrm{r}$ in air exert a force $\mathrm{F}$ on each other. At what distance will these charges experience the same force $\mathrm{F}$ in a medium of dielectric constant $\mathrm{k}$?

There is an electric dipole in X-Y plane .Its dipole moment is $4\times {10}^{-9}\mathrm{Cm}$ On the same plane there is also a uniform

electric field of magnitude $5\times {10}^4{\mathrm{NC}}^{-1}$. If the axis of dipole makes an angle $30°$ with the electric field . Calculate the magnitude of torque acting on the dipole and also mention the direction of the torque

A closed spherical surface encloses a charge q at its centre. Show the electric flux through the closed surface is $q/{\epsilon }_{\circ }$ .

State Gauss's law in electrostatics and write in its mathematical form.Calculate the electric field $\overrightarrow{\mathrm{E}}$ at point $\mathrm{P}$ due to charges this spherical shell, shown in figure (1) What will be the field $\overrightarrow{E}$ shown in fig (2) and (3)? Given the surface charge density is $\sigma$.

Write a few lines on Bohr model of the hydrogen atom