What to Remember from Lesson

14.11. What to Remember from Lesson#

14.11.1. Waves#

The wavelength (\(\lambda\)), frequency (\(f\)), and speed (\(v\)) of a wave are all related through a simple model:

\[v=\lambda f.\]

14.11.2. Electromagnetism#

James Clerk Maxwell found mathematically that

  • a changing magnetic field would induce changing electric field and that

  • changing electric field would induce changing magnetic field.

And furthermore, they are coupled together into a single entity that moves in time – the electromagnetic wave. He explained all of electricity and magnetism in this way and further could account for all of Faraday’s experiments.

The speed of electromagnetic waves is always

  • \(c= 3 \times 10^{8}\) m/s

The Lorentz Force describes how charged particles react to electric and magnetic fields. It has two pieces:

  • A charged particle in an electric field is accelerated along the field lines (if a positive particle) or away from the field lines (if a negative particle).

  • A charged particle will bend in the presence of a magnetic field if it is moving. The direction of the force on a charged particle is perpendicular to the field and is found with your right hand curing your fingers through the velocity vector and then into the direction of the magnetic field. Your thumb then will point in the direction of the force that a positively charged particle will experience or the opposite direction of the force that a negatively charged particle will experience.

VIDEO CONTENT (21) part 2: Maxwell_fields_2

  Please answer Question 7 for points: 🖥️

Accelerating charge:

  Please answer Question 8 for points: 🖥️

Please answer Question 8 for points: Bending and accelerating charge: