Electrostatic Potential and Capacitance

What is the SI unit of electric potential?

The potential at a point due to a point charge Q at a distance r is given by:

Two capacitors of capacitances 4 µF and 6 µF are connected in series. The equivalent capacitance is:

The energy stored in a capacitor is given by:

A parallel plate capacitor has plates of area A and separation d. If the separation is doubled and the area is halved, the new capacitance becomes:

The potential difference between two points in an electric field is 12 V. If a charge of 3 µC moves from one point to the other, the work done is:

Which of the following statements is true for a capacitor connected to a battery?

Two identical capacitors are connected first in series and then in parallel to the same battery. The ratio of energy stored in parallel to series connection is:

A capacitor is charged to a potential V and then disconnected from the battery. If the plate separation is doubled without discharging, the new potential difference across the plates is:

Derive the expression for the capacitance of a parallel plate capacitor with a dielectric slab of dielectric constant K fully filling the space between the plates. What happens to the capacitance compared to vacuum?