A parallel plate capacitor is filled with two dielectrics of permittivities $\epsilon_1$ and $\epsilon_2$, each occupying half the volume as shown. If the area of each plate is A and the plate separation is d, what is the capacitance?

If the plates of a parallel plate capacitor connected to a battery are moved closer to each other, which of the following quantities will increase?

A parallel plate capacitor with plates of area $1\,{m^2}$ each, are at a separation of 0.1 m. If the electric field between the plates is 100 N/C, the magnitude of charge on each plate is $\left( {{\rm{Take, }}\,\,{\varepsilon _0} = 8.85 imes {{10}^{ - 12}}\frac{{{C^2}}}{{N - {m^2}}}} \right)$

When a lamp is connected in series with capacitor, then

Two identical parallel plate capacitors, A and B, are connected to a battery. The distance between the plates of capacitor A is half that of capacitor B. Which capacitor stores more energy?

The total charge on the system of capacitors $C_1=1 \mu \mathrm{F}, C_2=2 \mu \mathrm{F}, C_3=4 \mu \mathrm{F}$ and $C_4=3 \mu \mathrm{F}$ connected in parallel is :

(Assume a battery of $20 \mathrm{~V}$ is connected to the combination)

A parallel plate capacitor is filled with two dielectrics of permittivities $\epsilon_1$ and $\epsilon_2$, each occupying half the volume as shown. If the area of each plate is A and the plate separation is d, what is the capacitance?

A spherical drop of capacitance 1 $\mu$F is broken into eight drops of equal radius. Then, the capacitance of each small drop is

The two spherical shells are at large separation one of them has radius $10 \mathrm{~cm}$ and has $1.25 \mu \mathrm{C}$ charge. The other is of $20 \mathrm{~cm}$ radius and has $0.75 \mu \mathrm{C}$ charge. If they are connected by a conducting wire of negligible capacity, the charge on the shells are-

If the circumference of a sphere is 2 m, then capacitance of sphere in water could be

$n$ identical droplets are charged to $V$ volt each. If they coalesce to form a single drop, then its potential will be