Purchase Solution

Model of dielectric with frequency dependent dielectric cons

Not what you're looking for?

Ask Custom Question

(See attached file for full problem description)

---
Frequency dependent dielectric constant
The polarization of a dielectricum P(r,t) is given by calculating the mean of the induced dipole moment of the bound charge in a small volume V(r) in the neighbourhood of r, i.e P(r,t) = (1/V(r))j pj(t)
In a simple model for a linear dielectric we make the assumption that there are N charged particles (with mass m and charge q) per unit volume, which are bound to their equilibrium positions rj´ through a harmonic potential φ(rj) = a² (rj - rj´)². An electric field E(r,t) acts such that it tends to push the particles out of their equilibrium position
In addition there is there is a damping force acting, Fj = b²drj
dt
which is proportional to velocity.
a) Give the equation of motion for rj(t).
b) Calculate the polarisation P(r,t) for an electric field with time dependence exp(iωt). What is the complex dielectric constant ε(ω) in this case
c) Sketch the real and imaginary parts of ε as a function of frequency
---

Attachments
Purchase this Solution

Solution Summary

A model of dielectric with frequency dependent dielectric constants are determined.

Solution Preview

The calculation is in the attached file freq.pdf and the sketches are in the attached ...

Purchase this Solution


Free BrainMass Quizzes
The Moon

Test your knowledge of moon phases and movement.

Basic Physics

This quiz will test your knowledge about basic Physics.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.