 # Consider a bound atomic electron of charge q in a dielectric medium...

## Question

Show transcribed text

## Transcribed Text

Consider a bound atomic electron of charge q in a dielectric medium with a complex, fre- quency dependent, atomic polarizability a(w). We can write O = as + i02, where as and a are the real and imaginary parts of O respectively. The dielectric function may be taken to be E(W) = 1 + 41TNa(w) where N is the density of polarizable atoms. We take H = 1 for this medium. Note: for this problem you should not assume any particular functional form for a(w). An oscillating electric field E(t) = Re Ew ] exerts a force on the bound electron cloud. Assume Ew is a real valued vector and s is an arbitrary phase factor. a) [5 pts] The resulting velocity of the electron cloud center of mass can be written as v(t) = Re Find Vw in terms of Ew and a(w). b) [10 pts] If W is the work done on the electron by the electric field in one period of oscillation T, then find the average work done over one period, i.e. W/T, where T = 2TT/W. This is the energy absorbed by the electron. Express your answer in terms of Ew and a(w).

## Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

By purchasing this solution you'll be able to access the following files:
Solution.pdf.

\$48.00
for this solution

or FREE if you
register a new account!

PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

### Find A Tutor

View available Physics - Other Tutors

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.