Starting with the following equations that describe the electric and magnetic fields for a region of space with no charge or current.
∂B/∂x = -μ0ε0
∂E/∂x = -∂B/∂t
a. Show that the magnetic field B obeys the travelling wave equation.
b. What is the speed that B travels? (Show the part of the travelling wave equation that allows you to determine this speed.)