$A$ and $C$ are concentric conducting spherical shells of radius $a$ and $c$ respectively. $A$ is surrounded by a concentric dielectric of inner radius $a$, outer radius $b$ and dielectric constant $k$. If sphere $A$ is given a charge $Q$, the potential at the outer surface of the dielectric is.

816-364

  • A

    $\frac{Q}{{4\pi {\varepsilon _0}kb}}$

  • B

    $\frac{Q}{{4\pi {\varepsilon _0}}}\left( {\frac{1}{a} + \frac{1}{{k(b - a)}}} \right)$

  • C

    $\frac{Q}{{4\pi {\varepsilon _0}b}}$

  • D

    None of these

Similar Questions

In the following figure two parallel metallic plates are maintained at different potential. If an electron is released midway between the plates, it will move

Two spheres $A$ and $B$ of radius $a$ and $b$ respectively are at same electric potential. The ratio of the surface charge densities of $A$ and $B$ is

Figure shows a solid hemisphere with a charge of $5\ nC$ distributed uniformly through its volume. The hemisphere lies on a plane and point $P$ is located on this plane, along a radial line from the centre of curvature at distance $15\ cm$. The electric potential at point $P$ due to the hemisphere, is .....$V$

The electric potential inside a conducting sphere

A small conducting sphere of radius $r$ is lying concentrically inside a bigger hollow conducting sphere of radius $R.$ The bigger and smaller spheres are charged with $Q$ and $q (Q > q)$ and are insulated from each other. The potential difference between the spheres will be