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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.)

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