A hollow metallic sphere of radius $R$ is given a charge $Q$. Then the potential at the centre is

  • A

    Zero

  • B

    $\frac{1}{{4\pi {\varepsilon _0}}}.\frac{Q}{R}$

  • C

    $\frac{1}{{4\pi {\varepsilon _0}}}.\frac{{2Q}}{R}$

  • D

    $\frac{1}{{4\pi {\varepsilon _0}}}.\frac{Q}{{2R}}$

Similar Questions

An infinite number of charges each numerically equal to q and of the same sign are placed along the $x-$ axis at $x = 1,2,4,8.... \,metres$. Then the electric potential at $x = 0$ due to this set of charges is

Two small equal point charges of magnitude $q$ are suspended from a common point on the ceiling by insulating mass less strings of equal lengths. They come to equilibrium with each string making angle $\theta $ from the vertical. If the mass of each charge is $m,$ then the electrostatic potential at the centre of line joining them will be $\left( {\frac{1}{{4\pi { \in _0}}} = k} \right).$

  • [JEE MAIN 2013]

Charges are placed on the vertices of a square as shown. Let $E$ be the electric field and $V$ the potential at the centre. If the charges on $A$ and $B$ are interchanged with those on $D$ and $C$ respectively, then 

The figure shows a nonconducting ring which has positive and negative charge non uniformly distributed on it such that the total charge is zero. Which of the following statements is true?

Find the equation of the equipotential for an infinite cylinder of radius ${{r_0}}$, carrying charge of linear density $\lambda $.