The work done required to put the four charges together at the corners of a square of side $a$ , as shown in the figure is
$\frac{1}{{4\pi {\varepsilon _0}}}\frac{{{q^2}}}{a}$
$\frac{{ - 2.6}}{{4\pi {\varepsilon _0}}}\frac{{{q^2}}}{a}$
$ + \frac{{2.6}}{{4\pi {\varepsilon _0}}}\frac{{{q^2}}}{a}$
none of these
A solid spherical conducting shell has inner radius a and outer radius $2a$. At the center of the shell a point charge $+Q$ is located . What must the charge of the shell be in order for the charge density on the inner and outer surfaces of the shell to be exactly equal?
A parallel plate capacitor has circular plates of $10\, cm$ radius separated by an air-gap of $1\, mm$ . It is charged by connecting the plates to a $100\, volt$ battery. Then the change in energy stored in the capacitor when the plates are moved to a distance of $1\, cm$ and the plates are maintained in connection with the battery, is
If the distance between two equal point charge is doubled then what would happen to the force between them ?
Two conducting spheres of radii $r_1$ and $r_2$ have same electric fields near their surfaces. The ratio of their electric potentials is
Two identical point charges are placed at a separation of $ l.$ $P$ is a point on the line joining the charges, at a distance $x$ from any one charge. The field at $P$ is $E$. $E$ is plotted against $x$ for values of $x$ from close to zero to slightly less than $l$. Which of the following best represents the resulting curve?