Consider two separate plane electromagnetic waves in free space having electric field phasors E = (a + jŷ) ejßz V/m and E2 = (1-j)ĝej³z V/m. (a) What are the individual polarization states of these two waves? (b) Calculate the time-average power density (Poynting vector) associated with E₁ alone (c) Calculate the time-average power density associated with E2 alone (d) What is the polarization state of the vector sum of the two fields E=E₁ + E₂? (e) Calculate the time-average power density associated with the vector sum of the two fields E = E₁ + E2, and compare it with the sum of your answers in parts (b) and (c). (f) How much of the total time-average power (in Watts) radiated by E=E₁ + E₂ is intercepted by a circular antenna of radius 30 cm in the x-y plane? Provide a numerical answer using n = 120.

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Consider two separate plane electromagnetic waves in free space having electric field phasors Ē₁ = ( + jŷ)ejßz V/m and E₂ = (1 - j)ĝejßz V/m.
(a) What are the individual polarization states of these two waves?
(b) Calculate the time-average power density (Poynting vector) associated with E₁ alone
(c) Calculate the time-average power density associated with E2 alone
(d) What is the polarization state of the vector sum of the two fields E = E₁ + E₂?
(e) Calculate the time-average power density associated with the vector sum of the two fields E = E₁ + E2, and compare it with the sum of your answers in parts (b) and (c).
(f) How much of the total time-average power (in Watts) radiated by E = E₁ + E2 is intercepted by a circular antenna of radius 30 cm in the x-y plane? Provide a numerical
answer using no = 120πΩ.
Transcribed Image Text:Consider two separate plane electromagnetic waves in free space having electric field phasors Ē₁ = ( + jŷ)ejßz V/m and E₂ = (1 - j)ĝejßz V/m. (a) What are the individual polarization states of these two waves? (b) Calculate the time-average power density (Poynting vector) associated with E₁ alone (c) Calculate the time-average power density associated with E2 alone (d) What is the polarization state of the vector sum of the two fields E = E₁ + E₂? (e) Calculate the time-average power density associated with the vector sum of the two fields E = E₁ + E2, and compare it with the sum of your answers in parts (b) and (c). (f) How much of the total time-average power (in Watts) radiated by E = E₁ + E2 is intercepted by a circular antenna of radius 30 cm in the x-y plane? Provide a numerical answer using no = 120πΩ.
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