1. The “spooky” connection between E and B!
A New Spin on Einstein!
The “spooky” connection between E and B!

2. An intriguing asymmetry…
On the Electrodynamics of Moving Bodies, A. Einstein 1905

3. Some Tasks
Compare Gauss’ Law with Ampere’s Law
Calculate the product moeo
Examine the motion of a charged particle near a current carrying wire from two different frames

4. How E and B Transform
“Deep lesson” – in general E and B come together. The relative “mix” is frame dependent!
The Lorentz force equation tells us how a charged particle responds to an electromagnetic field

5. From one frame to another…
See page 237 or equations E12.4 a,b in text

6. Maxwell’s Equations
We can show (via the transformation equations) that Ampere’s Law is incomplete when we consider the case of moving charges and magnetic fields
This leads to the Ampere-Maxwell and Faraday’s Law which collectively are part of Maxwell’s Equations

7. Maxwell’s Equations (integral form)