A capacitor is connected across a battery. Is this true even if the plates are of different sizes?

Explain briefly the process of charging a parallel plate capacitor when it is connected across a d.c. battery.

A capacitor of capacitance $\text{'}C\text{'}$ is charged to $\text{'}V\text{'}$ volts by a battery. After some time the battery is disconnected and the distance between the plates is doubled. Now a slab of dielectric constant, $1<K<2$, is introduced to fill the space between the plates. How will the following be affected?

The electric field between the plates of the capacitor. Justify your answer by writing the necessary expressions.

Explain briefly the process of charging a parallel plate capacitor when it is connected across a d.c. battery.

A capacitor of capacitance $\text{'}C\text{'}$ is charged to $\text{'}V\text{'}$ volts by a battery. After some time the battery is disconnected and the distance between the plates is doubled. Now a slab of dielectric constant, $1<K<2$, is introduced to fill the space between the plates. How will the following be affected?

The energy stored in the capacitor. Justify your answer by writing the necessary expressions.

Two identical capacitors $C_1$ and $C_2$ are connected to a battery $B$, as shown in figure below. A dielectric slab is slipped between the plates of $C_2$, the battery remaining connected. What happens to the charge, the capacitance, the potential difference and stored energy of each capacitor?