Two metal spheres of radii ${R_1}$ and ${R_2}$ are charged to the same potential. The ratio of charges on the spheres is
$\sqrt {{R_1}} \;:\;\sqrt {{R_2}} $
${R_1}\;:\;{R_2}$
$R_1^2\;:\;R_2^2$
$R_1^3:\;R_2^3$
Two charges ${q_1}$ and ${q_2}$ are placed at $(0, 0, d)$ and$(0, 0, - d)$ respectively. Find locus of points where the potential is zero.
Two identical positive charges are placed at $x =\, -a$ and $x = a$ . The correct variation of potential $V$ along the $x-$ axis is given by
Four point charges $-Q, -q, 2q$ and $2Q$ are placed, one at each comer of the square. The relation between $Q$ and $q$ for which the potential at the centre of the square is zero is
A uniform electric field of $20\, N/C$ exists along the $x$ -axis in a space. The potential difference $(V_B -V_A)$ for the point $A(4\,m, 2\,m)$ and $B(6\,m, 5\,m)$ is.....$V$
The give graph shown variation (with distance $r$ from centre) of