Parallel Plate Capacitor

# Parallel Plate Capacitor | Physics for Airmen Group X - Airforce X Y / Indian Navy SSR PDF Download

## What is a Parallel Plate Capacitor?

Parallel Plate Capacitors are formed by an arrangement of electrodes and insulating material or dielectric. A parallel plate capacitor can only store a finite amount of energy before dielectric breakdown occurs. It can be defined as:

When two parallel plates are connected across a battery, the plates are charged and an electric field is established between them, and this setup is known as the parallel plate capacitor.

## Formula

The direction of the electric field is defined as the direction in which the positive test charge would flow. Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance. The typical parallel-plate capacitor consists of two metallic plates of area A, separated by the distance d.

The parallel plate capacitor formula is given by: C = kєºA/d

Where,

ϵo is the permittivity of space (8.854 × 10−12 F/m)

k is the relative permittivity of dielectric material

d is the separation between the plates

A is the area of plates

## Derivation

Let the two plates be parallel each other each carrying a surface charge density and −σ respectively. A is the area of the plates and d is the separation between them.

The electric field of a thin charged plate is given by  and is directed normally outwards from the plate. The total electric field between the two plates is given as

The potential difference between the two plates is

The capacitance is

### Try Yourself!

Question for Parallel Plate Capacitor
Try yourself: Identify the factor on which the capacitance of a parallel plate capacitor does not depend.

Question for Parallel Plate Capacitor
Try yourself:Calculate the capacitance of the capacitor, if 1012 electrons are transferred from one conductor to another of a capacitor and a potential difference of 10 V develops between the two conductors.

Question for Parallel Plate Capacitor
Try yourself:How is the electric field between the two plates of a parallel plate capacitor?

Question for Parallel Plate Capacitor
Try yourself: Identify the simplest and the most widely used capacitor among the following.

The document Parallel Plate Capacitor | Physics for Airmen Group X - Airforce X Y / Indian Navy SSR is a part of the Airforce X Y / Indian Navy SSR Course Physics for Airmen Group X.
All you need of Airforce X Y / Indian Navy SSR at this link: Airforce X Y / Indian Navy SSR

## Physics for Airmen Group X

199 videos|422 docs|281 tests

## FAQs on Parallel Plate Capacitor - Physics for Airmen Group X - Airforce X Y / Indian Navy SSR

 1. What is a parallel plate capacitor?
Ans. A parallel plate capacitor is a type of capacitor that consists of two parallel conducting plates separated by a dielectric material. It is used to store electrical energy by creating an electric field between the plates.
 2. What is the formula to calculate the capacitance of a parallel plate capacitor?
Ans. The formula to calculate the capacitance (C) of a parallel plate capacitor is given by C = (ε₀ * A) / d, where ε₀ is the permittivity of free space, A is the area of each plate, and d is the distance between the plates.
 3. How can the capacitance of a parallel plate capacitor be increased?
Ans. The capacitance of a parallel plate capacitor can be increased by increasing the area of the plates, decreasing the distance between the plates, or using a material with higher permittivity as the dielectric.
 4. Can the capacitance of a parallel plate capacitor be negative?
Ans. No, the capacitance of a parallel plate capacitor cannot be negative. Capacitance is a measure of the ability of a capacitor to store electrical energy, and it is always a positive value.
 5. What is the derivation of the formula for the capacitance of a parallel plate capacitor?
Ans. The derivation of the formula for the capacitance of a parallel plate capacitor involves considering the electric field between the plates, applying Gauss's law, and integrating the electric field over the surface area of one plate. The detailed derivation can be found in textbooks or online resources on electromagnetism.

## Physics for Airmen Group X

199 videos|422 docs|281 tests

### Up next

 Explore Courses for Airforce X Y / Indian Navy SSR exam

### Top Courses for Airforce X Y / Indian Navy SSR

Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;