The capacity of a spherical conductor in $ MKS$ system is
$\frac{R}{{4\pi {\varepsilon _0}}}$
$\frac{{4\pi {\varepsilon _0}}}{R}$
$4\pi {\varepsilon _0}R$
$4\pi {\varepsilon _0}{R^2}$
A spherical condenser has inner and outer spheres of radii $a$ and $b$ respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be
The distance between the plates of a charged parallel plate capacitor is $5\ cm$ and electric field inside the plates is $200\ Vcm^{-1}$. An uncharged metal bar of width $2\ cm$ is fully immersed into the capacitor. The length of the metal bar is same as that of plate of capacitor. The voltage across capacitor after the immersion of the bar is......$V$
Capacitance (in $F$) of a spherical conductor with radius $1\, m$ is
Two spherical conductors $A$ and $B$ of radii $a$ and $b$ $(b > a)$ are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is
The capacitance $(C)$ for an isolated conducting sphere of radius $(a)$ is given by $4\pi \varepsilon_0a$. If the sphere is enclosed with an earthed concentric sphere. The ratio of the radii of the spheres $\frac{n}{{(n - 1)}}$ being then the capacitance of such a sphere will be increased by a factor