Electrostatic Potential And Capacitance

When a conductor of capacitance C is charged, it acquires a potential

When connected in parallel, equivalent capacitance of combination is

Also, energy, flow

will not take place, if potential across capacitors is same.

The given circuit can be rearranged as follows, it consists of three capacitors connected in parallel, hence equivalent resistance of the combination is Given,

Let R and r be the radii of bigger and each smaller drop
respectively. In coalescing into a single drop, charge remains
conserved.
Charge on bigger drop
= 27 x charge on smaller drop
ie,
Now, before and after coalescing, volume remains same.


Hence, capacitance of bigger drop

Initial capacitance

When it is half filled by a dielectric of dielectric constant , then

and




Hence, increase in capacitance