Electrostatic P...

Figure given below shows a network of four capacitors of capacitance equal to $${ C }_{ 1 }=C$$, $${ C }_{ 2 }=2C$$, $${ C }_{ 3 }=3C$$, $${ C }_{ 4 }=4C$$  connected to a battery. The ratio of charges on $${ C }_{ 2 }$$ and $${ C }_{ 4 }$$ is :

A parallel plate air capacitor has capacity $$'C'$$ farad, potential $$'V'$$ volt and energy $$'E'$$ joule. When the gap between the plates is completely filled with dielectric.

A tin nucleus has charge $$50eV$$. If the proton is $$ 10^{-12} m $$ from the nucleus. Then, the potential at this position will be :

Three identical capacitors are first connected in series and then in parallel. The ratio of effective capacitances in the two cases is

Two parallel plate air capacitors of same capacity $$'C'$$ are connected in series to a battery of emf $$'E'$$. Then one of the capacitors is completely filled with dielectric material of constant $$'K'$$. The change in the effective capacity of the series combination is

Each capacitor shown in figure is $$ 2 \mu F . $$ Then the equivalent capacitance between A and B is :

When three capacitors of equal capacities are connected in parallel and one of the same capacity is connected in series with its combination. The resultant capacity is $$3.75\mu F$$. The capacity of each capacitor is

Capacitance of a capacitor becomes $$ \frac {7}{6} $$ times its original value, if a dielectric slab of thickness $$ t = \frac {2}{3} d $$ is introduced in between the plates. The dielectic constant of the dielectric slab is :

$$A \ \ 6 \times 10^{-4}$$ F parallel plate air capacitor is connected to a 500 V battery. When air is replaced by another dielectric material, $$7.5 \times 10^{-4} C$$ charge flows into the capacitor. The value of the dielectric constant of the material is:

The total capacitance of the system of capacitors in figure. between A and B is