Define electron Volt and convert it into Joule unit.
If an electron with charge $q=e=1.6 \times 10^{-19} \mathrm{C}$ is accelerated by a potential difference of 1 volt it would gain energy $=q \Delta \mathrm{V}$
$=1.6 \times 10^{-19} \times 1 \quad[\because \Delta \mathrm{V}=1 \mathrm{~V}]$
$=1.6 \times 10^{-19} \mathrm{~J}$
This unit of energy is defined as 1 electron volt or $1 \mathrm{eV}$.
Definition: "If an electron according through a potential difference of one volt the difference in potential (or kinetic) energy of an electron is known as one electron volt".
This unit are most commonly used in atomic, nuclear and particle physics.
Multiplier and submultiplier of $e \mathrm{~V}$ :
$1 \mathrm{meV}=1.6 \times 10^{-22} \mathrm{~J}$ $1 \mathrm{keV}=1.6 \times 10^{-16} \mathrm{~J}$ $1 \mathrm{MeV}=1.6 \times 10^{-13} \mathrm{~J}$ $1 \mathrm{GeV}=1.6 \times 10^{-10} \mathrm{~J}$ $1 \mathrm{TeV}=1.6 \times 10^{-7} \mathrm{~J}$
Positive and negative point charges of equal magnitude are kept at $\left(0,0, \frac{a}{2}\right)$ and $\left(0,0, \frac{-a}{2}\right)$, respectively. The work done by the electric field when another positive point charge is moved from $(-a, 0,0)$ to $(0, a, 0)$ is
$(a)$ Calculate the potential at a point $P$ due to a charge of $4 \times 10^{-7}\; C$ located $9 \;cm$ away.
$(b)$ Hence obtain the work done in bringing a charge of $2 \times 10^{-9} \;C$ from infinity to the point $P$. Does the answer depend on the path along which the charge is brought?
A problem of practical interest is to make a beam of electrons turn at $90^o$ corner. This can be done with the electric field present between the parallel plates as shown in the figure. An electron with kinetic energy $8.0 × 10^{-17}\ J$ enters through a small hole in the bottom plate. The strength of electric field that is needed if the electron is to emerge from an exit hole $1.0\ cm$ away from the entrance hole, traveling at right angles to its original direction is $y × 10^5\ N/C$ . The value of $y$ is
This question contains Statement$-1$ and Statement$-2$. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement$-1$ : For a charged particle moving from point $P$ to point $Q$, the net work done by an electrostatic field on the particle is independent of the path connecting point $P$ to point $Q$.
Statement$-2$ : The net work done by a conservative force on an object moving along a closed loop is zero.
A point charge is surrounded symmetrically by six identical charges at distance $r$ as shown in the figure. How much work is done by the forces of electrostatic repulsion when the point charge $q$ at the centre is removed at infinity