Two identical charged spheres suspended from a common point by two massless strings of length $l$ are initially a distance $d(d << I) $ apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result charges approach each other with a velocity $v$. Then as a function of distance $x$ between them,
$v$ $ \propto \;{x^{ - \frac{1}{2}}}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;$
$v $ $ \propto \;{x^{ - 1}}$
$v $ $ \propto \;{x^{\frac{1}{2}}}$
$v $ $ \propto \;x$
A $2\,\mu F$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $S$ is turned to position $2$, is.....$\%$
The equivalent capacitance of the system of capacitors between $A$ and $B$ as shown in the figure
Two capacitors $C_1$ and $C_2$ are are charged to $120\, V$ and $200\, V$ respectively. It is found that by connecting them together the potential on each one can be made zero . Then
Which of the following is a volt :
Three identical uncharged metal spheres are at the vertices of an equilateral triangle. One at a time, a small sphere is connected by a conducting wire with a large metal sphere that is charged. The center of the large sphere is in the straight line perpendicular to the plane of equilateral triangle and passing through its centre (see figure). As a result, the first small sphere acquires charge $q_1$ and second charge $q_2 (q_2 < q_1)$ . The charge that the third sphere $q_3$ will acquire is (Assume $l >> R$ , $l >> r$ , $d >> R$ , $d >> r$ )