Embibe Experts Solutions for Chapter: Electrostatics, Exercise 2: Level 2

An electric dipole is placed on $x-$axis in proximity to a line charge of linear charge density $3.0\times {10}^{-6} \mathrm{C} {\mathrm{m}}^{-1}.$ Line charge is placed on $\mathrm{z}-$axis and positive and negative charge of dipole is at a distance of $10 \mathrm{mm}$ and $12 \mathrm{mm}$ from the origin respectively. If total force of $4 \mathrm{N}$ is exerted on the dipole, find out the amount of positive or negative charge of the dipole.

Two particles $A$ and $B$ having charges $20 \mu \mathrm{C}$ and $-5 \mu \mathrm{C}$ respectively are held fixed with a separation of $5 \mathrm{cm}$ At what position a third charged particle should be placed so that it does not experience a net electric force ?

Two charges of $1\mathrm{\mu C}$ and $5\mathrm{\mu C}$ are placed $4\mathrm{cm}$ apart. The ratio of forces exerted by both the charges on each other will be

The magnitude of electric field intensity $E$ is such that, an electron placed in it would experience an electrical force equal to its weight, is given by

A point charge $\text{'}q\text{'}$ is placed at a point inside a hollow conducting sphere. Which of the following electric force pattern is correct?

The net electric charge enclosed by a Gaussian surface of dipole is

An electric dipole having point charges $+q$ and $-q$, separated by a fixed distance $d$ is kept under the influence of a uniform electric field $E$, such that the axis of the dipole is making an angle $\theta =45°$ with the direction of $E$, as shown in the figure. If the electric dipole is allowed to rotate in the $xy$-plane with its center being stationary, what is the magnitude of the net torque acting on the electric dipole?

The plates of a parallel plate condenser are pulled apart with a velocity $v.$ If at any instant mutual distance of separation is $d,$ then the magnitude of the time of rate of change of electrostatic energy of the capacity depends on $d$ as follows: (potential difference between plates is kept constant)-