Capacitors and Capacitance of a Parallel Plate Capacitor A capacitor is a device that stores electric charge on a conductor. It is typically made of two meta...
A capacitor is a device that stores electric charge on a conductor. It is typically made of two metal plates separated by a dielectric material, such as a dielectric film or a vacuum. When a voltage is applied to the plates, the charges on the two plates are attracted to each other, and the capacitor stores energy in an electric field.
The capacitance (C) of a parallel plate capacitor is a measure of how much charge it can store on its plates. It is defined as the ratio of the total charge stored on the plates to the voltage applied to the capacitor.
where:
C is the capacitance in farads (F)
Q is the total charge stored in coulombs (C)
V is the voltage applied in volts (V)
The formula for the capacitance of a parallel plate capacitor is:
The capacitance of a parallel plate capacitor is directly proportional to the area of the plates and inversely proportional to the distance between the plates. This means that if you increase the area of the plates or decrease the distance between them, you can increase the capacitance of the capacitor.
Examples:
A parallel plate capacitor with two plates of area 1 square meter and a distance between the plates 1 meter has a capacitance of 1 farad.
A parallel plate capacitor with two plates of area 4 square meters and a distance between the plates 0.5 meters has a capacitance of 8 farads.
A parallel plate capacitor with two plates of area 10 square meters and a distance between the plates 2 meters has a capacitance of 50 farads