- #1
tquiva
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Homework Statement
A plane electromagnetic wave propagating in free space has an amplitude ([itex]\sqrt{3}[/itex]/2)a[itex]_{y}[/itex]-(1/2)a[itex]_{z}[/itex] V/m. Find the amplitude of the accompanying magnetic field assuiming the frequency of the electric field is 1 GHz.
Homework Equations
f[itex]_{E}[/itex] = f[itex]_{H}[/itex]
[itex]\frac{E_{0}}{B_{0}}[/itex] = [itex]\frac{ω}{k}[/itex] = c
The Attempt at a Solution
I know that the frequency for both the Electric and Magnetic fields are equivalent. Therefore, the magnetic field frequency is also 1 GHz.
However, the question says "electromagnetic wave." This term means the cross product result or E x B right? With that being said, I'm not sure how to obtain the amplitude of the magnetic field if I don't have any info for the electric field.
Or is there some other equation related to the EM wave?
Any help or suggestions is greatly appreciated!