Parallel Plate Capacitors Dielectric Slab and Conducting Slab Class 12 Notes | EduRev

Physics For JEE

Class 12 : Parallel Plate Capacitors Dielectric Slab and Conducting Slab Class 12 Notes | EduRev

The document Parallel Plate Capacitors Dielectric Slab and Conducting Slab Class 12 Notes | EduRev is a part of the Class 12 Course Physics For JEE.
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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.

Parallel Plate Capacitors Dielectric Slab and Conducting Slab Class 12 Notes | EduRev

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

Parallel Plate Capacitors Dielectric Slab and Conducting Slab Class 12 Notes | EduRev

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 Parallel Plate Capacitors Dielectric Slab and Conducting Slab Class 12 Notes | EduRev and is directed normally outwards from the plate. The total electric field between the two plates is given as

Parallel Plate Capacitors Dielectric Slab and Conducting Slab Class 12 Notes | EduRev

The potential difference between the two plates is

Parallel Plate Capacitors Dielectric Slab and Conducting Slab Class 12 Notes | EduRev

The capacitance is

Parallel Plate Capacitors Dielectric Slab and Conducting Slab Class 12 Notes | EduRev

Try Yourself!

Try yourself: Identify the factor on which the capacitance of a parallel plate capacitor does not depend.
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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.
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Try yourself:How is the electric field between the two plates of a parallel plate capacitor?
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Try yourself: Identify the simplest and the most widely used capacitor among the following.
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