Embibe Experts Solutions for Exercise 1: EXERCISE 2.1

Suppose there is a uniform electric field $\overrightarrow{E}=20 \mathrm{V} {\mathrm{m}}^{-1} \hat{i}.$ If a positive charge moves in the $-y$ direction, does its electric potential energy increase or decrease.

Consider the region of electric field, as shown in the figure. Work done by the electric field, in carrying a proton from point $B$ to point $A,$ will be

A particle of mass $m$ and charge $-q$ circulates around a fixed charge $q$ in a circle of radius $r$ under electrostatic force. The total energy of the system is

A particle of mass $m$ and charge $-q$ is given velocity $v$ as shown in the figure. What minimum distance it can travel before stopping for the first time? $A$ and $B$ fixed charges. Given that $v=\sqrt{\frac{2KqQ}{am}}$ where $K=\frac{1}{4\pi {\epsilon }_0}$

Four charges are placed at the corners of a square of side $a.$

Work done by external agent in carrying an electron from point $O$ to $O^{\text{'}}$ is

Eight charges (each $q$) are placed at the vertices of a regular cube of side $a.$ The electric potential energy of the configuration will be $U=12\times \frac{1}{4\pi {\epsilon }_0}·\frac{q^2}{a}\times x.$ Then $x$

In the figure, two points $\left(A\right)$ and $\left(B\right)$ are located within a region that contains an electric field. A negative charge is placed at $\left(A\right)$ and then moved to $\left(B\right).$ Does the potential energy of the system increase, decrease or remain same?

Two fixed solid spheres of charges $Q$ and $kQ$ are separated by a distance $6R.$ A charge $-q$ is to be projected along the line joining their centres, so that it can reach the surface of other solid sphere of charge $kQ.$

(i) If $k=4,$ find minimum velocity to be given.
(ii) If we do not want to give any velocity, what should be the minimum value of $k?$