(i) The magnetic field of a TEM plane wave in air can be written H = Ho exp j(2nft-ßx) â. Am¹ Use one of Maxwell's equations to derive a similar expression for E. Also sketch the orientations of H, electric field E and power flux at any instant relative to the x,y,z-axes. (ii) Explain what is meant by the Poynting vector S= EXH, calculate S for the wave of Q3(a)(i) and write down its time averaged magnitude (iii) The wavelength is measured to be 2.5 cm and the rms power flux to be 10(1 + Y) μW/m². Calculate the frequency, the amplitudes of the electric field E, and magnetic field Ho, and state the part of the EM spectrum that the wave occupies.
(i) The magnetic field of a TEM plane wave in air can be written H = Ho exp j(2nft-ßx) â. Am¹ Use one of Maxwell's equations to derive a similar expression for E. Also sketch the orientations of H, electric field E and power flux at any instant relative to the x,y,z-axes. (ii) Explain what is meant by the Poynting vector S= EXH, calculate S for the wave of Q3(a)(i) and write down its time averaged magnitude (iii) The wavelength is measured to be 2.5 cm and the rms power flux to be 10(1 + Y) μW/m². Calculate the frequency, the amplitudes of the electric field E, and magnetic field Ho, and state the part of the EM spectrum that the wave occupies.
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Student number is C1700125, Y is therefore 5. Hence, the rms flux is 60
![a) (i) The magnetic field of a TEM plane wave in air can be written
H = Ho exp j(2nft-ßx) â. Am-¹
Use one of Maxwell's equations to derive a similar expression for E. Also
sketch the orientations of H, electric field E and power flux at any instant
relative to the x,y,z-axes.
(ii) Explain what is meant by the Poynting vector S=ExH, calculate S for
the wave of Q3(a)(i) and write down its time averaged magnitude
(iii) The wavelength is measured to be 2.5 cm and the rms power flux to be
10(1 + Y) μW/m². Calculate the frequency, the amplitudes of the electric
field E, and magnetic field Ho, and state the part of the EM spectrum
that the wave occupies.
Note that Y is the last digit of your student number. For example, if your number
is C1700123, then the rms power flux is 10(1+3) = 40 or if your number is
C1700100, then the rms power flux is 10(1+0) = 10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42be421e-d4ef-4e85-99d2-9423d5524514%2F3c47a49d-ef76-45a1-bd6f-3b2e494b770a%2Fgqpbr6k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) (i) The magnetic field of a TEM plane wave in air can be written
H = Ho exp j(2nft-ßx) â. Am-¹
Use one of Maxwell's equations to derive a similar expression for E. Also
sketch the orientations of H, electric field E and power flux at any instant
relative to the x,y,z-axes.
(ii) Explain what is meant by the Poynting vector S=ExH, calculate S for
the wave of Q3(a)(i) and write down its time averaged magnitude
(iii) The wavelength is measured to be 2.5 cm and the rms power flux to be
10(1 + Y) μW/m². Calculate the frequency, the amplitudes of the electric
field E, and magnetic field Ho, and state the part of the EM spectrum
that the wave occupies.
Note that Y is the last digit of your student number. For example, if your number
is C1700123, then the rms power flux is 10(1+3) = 40 or if your number is
C1700100, then the rms power flux is 10(1+0) = 10
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