Embibe Experts Solutions for Chapter: Electrostatics, Exercise 1: AMU-AT (B.Tech.) 2017

$n$ small metal drops of same size are charged to $V$ volt each. If they coalesce to form a single large drop, then its potential will be

A hollow conducting sphere is placed in an electric field produced by a point charge placed at $P$ as shown in figure. Let $V_A, V_B, V_C$ be the potentials at points $A, B$ and $C$, respectively. Then

A spherical drop of mercury having a potential of $2.5 \mathrm{V}$ is obtained as a result of merging $125$ droplets. The potential of constituent droplets would be

A current of $10 \mathrm{A}$ is passing through a long wire which has a semicircular loop of the radius $20 \mathrm{cm}$ as shown in the figure. Magnetic field produced at the centre of the loop is:

Four charges each equal to $(-Q)$ are placed at the four corners of a square and a charge $q$ is placed at its centre. If the system of charges is in equilibrium, the value of $q$ is

Figure shows three arrangements of electric field lines. In each arrangement, a proton is released from rest at point A and then accelerated through point B by the electric field. Points A and B have equal separations in the three arrangements. If $p_1,p_2$ and $p_3$ are linear momentum of the proton at point B in the three arrangement respectively, then

An electron is placed on $X$-axis where the electric potential depends on $x$ as shown in figures (the potential does not depend on $y$ and $z$ ). What is the electric force on the electron?

Two identical conducting spheres A and B carry equal charge. They are initially separated by a distance much larger than their diameters and the force between them is F. A third identical conducting sphere C is uncharged. Sphere C is first touched to A, then to C and removed. As a result, the force between A and B now is