A point charge of magnitude $+ 1\,\mu C$ is fixed at $(0, 0, 0) $. An isolated uncharged spherical conductor, is fixed with its center at $(4, 0, 0).$ The potential and the induced electric field at the centre of the sphere is
$1.8\times 10^5\,V$ and $- 5.625 \times 10^6\,V/m$
$0\,V$ and $0\,V/m$
$2.25 \times 10^5\,V$ and $-5.625 \times 10^6\,V/m$
$2.25 \times 10^5\,V$ and $0\,V/m$
Derive an expression for electric potential at a point due to a system of $\mathrm{N}$ charges.
Two metal spheres of radii ${R_1}$ and ${R_2}$ are charged to the same potential. The ratio of charges on the spheres is
Two conducting spheres of radii $R_1$ and $R_2$ are charged with charges $Q_1$ and $Q_2$ respectively. On bringing them in contact there is
Two unlike charges of magnitude $q$ are separated by a distance $2d$. The potential at a point midway between them is
A spherical drop of mercury having a potential of $2.5\, V$ is obtained as a result of merging $125$ droplets. The potential of constituent droplets would be........$V$