Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: Uttarakhand Board-2019

What is meant by electric flux? Write the statement and mathematical form of Gauss's theorem.

What is the value of electric field intensity at any point inside a solid charged conducting sphere?

Give Coulomb's law about the force between two point charges.

Derive an expression for intensity of electric field due to a uniformly charged infinite plane sheet at a point near it.

Derive the expression for electric field intensity at a point on equatorial plane due to electric dipole.

An electric dipole of dipole moment $4\times {10}^{-9} \mathrm{C}-\mathrm{m}$ is inclined at an angle ${30}^{\mathrm{o}}$ to a uniform electric field of magnitude $5\times {10}^4 \raisebox{1ex}{$\mathrm{N}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{C}$}\right.$. Calculate the torque applied on electric dipole.

Establish a relation for electric field intensity due to a uniformly charged spherical shell at a point out side the shell.

Write down two properties of electric field lines.