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....
icon
Related questions
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 8 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Electric Motor Control
Electric Motor Control
Electrical Engineering
ISBN:
9781133702818
Author:
Herman
Publisher:
CENGAGE L
Electricity for Refrigeration, Heating, and Air C…
Electricity for Refrigeration, Heating, and Air C…
Mechanical Engineering
ISBN:
9781337399128
Author:
Russell E. Smith
Publisher:
Cengage Learning
EBK ELECTRICAL WIRING RESIDENTIAL
EBK ELECTRICAL WIRING RESIDENTIAL
Electrical Engineering
ISBN:
9781337516549
Author:
Simmons
Publisher:
CENGAGE LEARNING - CONSIGNMENT