Verified Answer

QuestionQuestion 9

Derive an expression for the capacitance of a parallel plate capacitor when a dielectric is inserted between the plates of a capacitor.

Solution

The capacitance of a parallel plate capacitor is given by the following equation:

C = εA/d

where:

* C is the capacitance (in farads)
* ε is the dielectric constant of the material between the plates (in farads per meter)
* A is the area of the plates (in square meters)
* d is the distance between the plates (in meters)

&explainExplaination of Question&explain

When a dielectric is inserted between the plates, the capacitance is increased by a factor of ε. This is because the dielectric polarizes, which reduces the effective electric field between the plates.

The polarization of the dielectric can be understood by considering the electric field between the plates. The electric field causes the charges in the dielectric to align themselves in the direction of the field. This creates a net electric dipole moment in the dielectric, which opposes the applied electric field.

The net electric field between the plates is reduced by a factor of ε. This means that the capacitance is increased by a factor of ε.

In other words, the presence of the dielectric increases the amount of charge that can be stored on the plates for a given potential difference.

The dielectric constant of a material depends on the properties of the material, such as its molecular structure and its polarizability. Materials with a high dielectric constant are typically made up of molecules that have a permanent electric dipole moment. These molecules can easily align themselves in the direction of an external electric field, which makes the material more easily polarized.
&exampleExamples of Materials&example
Here are some examples of materials with a high dielectric constant:

* Water
* Glass
* Mica
* Teflon

These materials are often used as dielectrics in capacitors.
Physics XII (FBISE)

Context

Chapter 3: Electromagnetism

Chapter 4: Electromagnetic induction

Chapter 5: Alternating Current

Chapter 6: Physics of Solids

Chapter 7: Electronics

Chapter 8: Dawn Of the Modern Physics

Chapter 9: Atomic Spectra

Chapter 10: Nuclear Physics

Utopains

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