Assignment:
If electromagnetic wave equation for vacuum is
![2475_Galilean.JPG](https://secure.tutorsglobe.com/CMSImages/2475_Galilean.JPG)
where W is either magnetic B or electric E field vector, show that by using Galilean transformation wave equation will be changed to
![1454_Galilean transformation.JPG](https://secure.tutorsglobe.com/CMSImages/1454_Galilean transformation.JPG)
which has completely different form than given wave equation. Hence, Galilean transformation violates the first relativity postulate that all physics laws have the same form in all inertial reference frames.
Repeat the analysis but use Lorentz coordinate transformation, and show that in this case wave equation has the same form
![2372_Electromagnetic waves.JPG](https://secure.tutorsglobe.com/CMSImages/2372_Electromagnetic waves.JPG)
(Hint: Use the chain rule to express derivatives ∂/∂r and ∂/∂t in terms of ∂/∂R and ∂/∂T ).