A long cylindrical volume contains a uniformly distributed charge of density $\rho$. The radius of cylindrical volume is $R$. A charge particle $(q)$ revolves around the cylinder in a circular path. The kinetic of the particle is
$\frac{\rho q R^{2}}{4 \varepsilon_{0}}$
$\frac{\rho q R^{2}}{2 \varepsilon_{0}}$
$\frac{q \rho}{4 \varepsilon_{0} R^{2}}$
$\frac{4 \varepsilon_{0} R^{2}}{q \rho}$
An electric field converges at the origin whose magnitude is given by the expression $E = 100\,r\,Nt/Coul$, where $r$ is the distance measured from the origin.
If atmospheric electric field is approximately $150 \,volt / m$ and radius of the earth is $6400 \,km$, then the total charge on the earth's surface is .......... coulomb
In figure $+Q$ charge is located at one of the edge of the cube, then electric flux through cube due to $+Q$ charge is
An electron revolves around an infinite cylindrical wire having uniform linear change density $2 \times 10^{-8}\,Cm ^{-1}$ in circular path under the influence of attractive electrostatic field as shown in the figure. The velocity of electron with which it is revolving is $.........\times 10^6\,ms ^{-1}$. Given mass of electron $=9 \times 10^{-31}\,kg$
Two charged thin infinite plane sheets of uniform surface charge density $\sigma_{+}$ and $\sigma_{-}$ where $\left|\sigma_{+}\right|>\left|\sigma_{-}\right|$ intersect at right angle. Which of the following best represents the electric field lines for this system