Q3. a) (i) The magnetic field of a TEM plane wave can be written in phasor form as H=H, exp j(cot+Bz) â A/m With reference to Cartesian axes, sketch the directions of the wave's electric field E, magnetic field H and power flux S at time t = 0 s. (ii) Use one of Maxwell's equations to derive a similar expression for E. (iii) The value of ẞ in air is measured to be 15.7 rads/m and the rms power flux is measured to be 5.52 μW/m². Calculate the amplitudes of the E and H fields and state the part of the EM spectrum that the wave occupies. (iv) The same wave is incident perpendicular from air into the surface of a calm lake. Calculate the reflected and transmitted power fluxes at the water surface (assume that the relative permittivity of water is 79.5). (v) Describe what happens to the transmitted wave within the water and how this effect can be accounted for in the way we express the relative permittivity of water.
Q3. a) (i) The magnetic field of a TEM plane wave can be written in phasor form as H=H, exp j(cot+Bz) â A/m With reference to Cartesian axes, sketch the directions of the wave's electric field E, magnetic field H and power flux S at time t = 0 s. (ii) Use one of Maxwell's equations to derive a similar expression for E. (iii) The value of ẞ in air is measured to be 15.7 rads/m and the rms power flux is measured to be 5.52 μW/m². Calculate the amplitudes of the E and H fields and state the part of the EM spectrum that the wave occupies. (iv) The same wave is incident perpendicular from air into the surface of a calm lake. Calculate the reflected and transmitted power fluxes at the water surface (assume that the relative permittivity of water is 79.5). (v) Describe what happens to the transmitted wave within the water and how this effect can be accounted for in the way we express the relative permittivity of water.
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.3MCQ: If a phasor representation of a current is given by I=70.745A, it is equivalent to a. 100e/45 b....
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Transcribed Image Text:Q3. a) (i) The magnetic field of a TEM plane wave can be written in phasor form as
H=H, exp j(cot+Bz) â A/m
With reference to Cartesian axes, sketch the directions of the wave's
electric field E, magnetic field H and power flux S at time t = 0 s.
(ii)
Use one of Maxwell's equations to derive a similar expression for E.
(iii) The value of ẞ in air is measured to be 15.7 rads/m and the rms power flux
is measured to be 5.52 μW/m². Calculate the amplitudes of the E and H
fields and state the part of the EM spectrum that the wave occupies.
(iv) The same wave is incident perpendicular from air into the surface of a calm
lake. Calculate the reflected and transmitted power fluxes at the water
surface (assume that the relative permittivity of water is 79.5).
(v) Describe what happens to the transmitted wave within the water and how
this effect can be accounted for in the way we express the relative
permittivity of water.
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