a. Write down an E(z,t) and a B(z,t) travelling wave of an EM wave in terms of k and w. What are these constants and the speed of the wave in terms of the wavelength A and the frequency f of the wave? b. What are the energy densities stored in an electric and a magnetic field? c. What is the total instantaneous energy stored per unit volume in a region of space where there is an EM wave? Seeing that that e = express this in terms of the B- field.

University Physics Volume 2
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Chapter16: Electromagnetic Waves
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Problem 46P: A plane electromagnetic wave of frequency 20 GHz moves in the positive y-axis direction such that...
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a. Write down an E(z,t) and a B(z,t) travelling wave of an EM wave in
terms of k and w. What are these constants and the speed of the
wave in terms of the wavelength A and the frequency f of the
wave?
b. What are the energy densities stored in an electric and a magnetic
field?
c. What is the total instantaneous energy stored per unit volume in a
region of space where there is an EM wave? Seeing that that e =
express this in terms of the B- field.
d. Express the Poynting vector in terms of the B- field.
e. What is the time averaged Poynting vector in terms of Eo or Bo (in
terms of Ems or Bms). What is the intensity / of the wave?
Transcribed Image Text:a. Write down an E(z,t) and a B(z,t) travelling wave of an EM wave in terms of k and w. What are these constants and the speed of the wave in terms of the wavelength A and the frequency f of the wave? b. What are the energy densities stored in an electric and a magnetic field? c. What is the total instantaneous energy stored per unit volume in a region of space where there is an EM wave? Seeing that that e = express this in terms of the B- field. d. Express the Poynting vector in terms of the B- field. e. What is the time averaged Poynting vector in terms of Eo or Bo (in terms of Ems or Bms). What is the intensity / of the wave?
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