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
$\frac{a}{b}$
$\frac{b}{a}$
$\frac{{{a^2}}}{{{b^2}}}$
$\frac{{{b^2}}}{{{a^2}}}$
Two point charges $-Q$ and $+Q / \sqrt{3}$ are placed in the xy-plane at the origin $(0,0)$ and a point $(2,0)$, respectively, as shown in the figure. This results in an equipotential circle of radius $R$ and potential $V =0$ in the $xy$-plane with its center at $(b, 0)$. All lengths are measured in meters.
($1$) The value of $R$ is. . . . meter.
($2$) The value of $b$ is. . . . . .meter.
There are four concentric shells $A, B, C $ and $D $ of radii $ a, 2a, 3a$ and $4a$ respectively. Shells $B$ and $D$ are given charges $+q$ and $-q$ respectively. Shell $C$ is now earthed. The potential difference $V_A - V_C $ is :
Consider a finite insulated, uncharged conductor placed near a finite positively charged conductor. The uncharged body must have a potential
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
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