The Drude Model and Metals In an Oscillating Electric Field - Electromagnetism

In this video, we explore how the behaviour of of a metal changes in response to an externally applied oscillatory electric field. This will start off by looking at how we can derive a general formula for the permittivity of a metal.
We then turn our attention to the Drude model of metals, from which we consider the microscopic scattering of delocalised electrons within the metal. We then apply the Drude model to derive the permittivity and thereafter the refractive index of the metal at high and low field frequencies. Finally, we find out that above a certain oscillatory frequency (the plasma frequency), a metal behaves as if it is a dielectric and becomes transparent to propagating electromagnetic radiation.
Link to my Patreon page: / pazzyboardmanphysicstu...
Link to previous videos:
Dielectrics and Polarisation: • Electromagnetism - Die...
Polarisability and Clausius-Mossotti Relation: • Polarisability and the...
Microscopic Oscillator Model Part 1: • Microscopic Oscillator...
Microscopic Oscillator Model Part 2: • Microscopic Oscillator...

[@alexthe15]

Nice video!!

[@kubumshel]

Thanks for this video.
I have been looking for a step by step explanation for this.
Can you write some books I can refer to for this derivation please.

[@g1a18]

You forget to put omega in the first e
38:00

[@pazzy768]

You’re right. Thanks for pointing that out!