EXERCISE 2.2

An alpha particle (charge $=+2e$) is accelerated from rest through a potential difference of $500$ volts. Its final kinetic energy is

There is an electric field $E$ in $X$-direction. If work done in moving a charge $0.2\mathrm{C}$ through a distance of $2 \mathrm{m}$ along a line making an angle of $60°$ with $X$-axis is $4.0$ joule, what is the value of $\overrightarrow{E}?$

$E=5x^{2}i,$ the potential difference between $A(x=0)\mathrm{m}$ and $B(x=4 \mathrm{m}), V_A-V_B$ is

A right isosceles triangle of side a has charges $q, +2 q$ and $-q$ arranged on its vertices, as shown in figure.

What is the potential energy $U$ of this configuration of three charges? What is the significance of the sign of your answer?

A right isosceles triangle of side a has charges $q, +2 q$ and $-q$ arranged on its vertices, as shown in figure.

A fourth charge with charge $+3 q$ is slowly moved in from infinity to point $P$. How much work must be done in this process? What is the significance of the sign of your answer?

Find the value of $k$ if potential at $O$ is zero.

Two charges $q$ and $-4q$ are kept on a straight line. At how many points on this line, the electric potential is zero?

Two charges $q$ and $-4 q$ are kept at points $A$ and $B$. Let $V$ be the potential at any point on the line joining $A$ and $B.$ The correct variation of $V$ along the $AB$ is