The magnetic vector of a plane electromagnetic wave is described as follows:
B⃗ =Bmxˆsin[13 rad/m z− 3.90e9 rad/sec t] where Bm>0. This represents the full magnetic field, so that By=Bz=0.
(a) What is the wavelength λ of the wave, in meters?
(b) What is the frequency f of the wave, in cycles per second?
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(c) In which direction does this wave propagate?
(d) The associated electric field E⃗ (x⃗ ,t) can be written as
E⃗ =A0sin(kxx+kyy+kzz−ωt)mˆ
Where kx,ky,kz and ω are all positive.
Determine:
m
A0 in V/m, assuming Bm=9.43e-7 T. Note that A0 could be positive or negative.
kx in rad/m
ky in rad/m
kz in rad/m
ω in rad/s
(e) What is the time-averaged Poynting flux associated with this wave, assuming Bm=9.43e-7 T?
direction:
magnitude in W/m2:
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