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Two lossless X-band horn antennas are separated by a distance of 200?. The amplitude reflection
coefficients at the terminals of the transmitting and receiving antennas are 0.15 and 0.18,
respectively. The maximum directivities of the transmitting and receiving antennas (over the
isotropic antenna) are 18dB and 22dB, respectively. Assuming that the input power in the lossless
transmission line connected to the antenna is 2 W, and that the antennas are perfectly aligned and
polarization matched, the power (in mW) delivered to the load at the receiver is ____
    Correct answer is '2.99'. Can you explain this answer?
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    Two lossless X-band horn antennas are separated by a distance of 200?....
    Given
    Lossless horn antennas
    ηT = ηR = 1
    Power Gain = Directivity
    Directivity of Txing antenna, DT = 18 dB
    10 logDT = 18
    GT (or) DT = 63.09
    Directivity of Rxing antenna, DR = 22 dB
    10logDR = 22
    GR(or) DR = 158.48
    input power Pin = 2 W
    Spacing, r = 200 λ
     
    = 3.1 x10–3
    As there is a reflection at the terminals of Rxing antenna power delivered to the load in given by
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    Most Upvoted Answer
    Two lossless X-band horn antennas are separated by a distance of 200?....
    Given Information:
    - Two lossless X-band horn antennas separated by a distance of 200?
    - Amplitude reflection coefficients at the terminals of the transmitting and receiving antennas are 0.15 and 0.18, respectively
    - Maximum directivities of transmitting and receiving antennas (over the isotropic antenna) are 18 dB and 22 dB, respectively
    - Input power in the lossless transmission line connected to the antenna is 2 W
    - Antennas are perfectly aligned and polarization matched

    To find:
    - Power delivered to the load at the receiver

    Solution:
    Step 1: Calculate the power transmitted by the transmitting antenna
    - The power transmitted by the transmitting antenna is given by the product of input power and the antenna gain
    - Antenna gain is the ratio of directivity to the radiation efficiency
    - As the antennas are lossless, the radiation efficiency is 1
    - Therefore, the antenna gain is equal to the directivity
    - The directivity of the transmitting antenna is 10^(18/10) = 63.1
    - Therefore, the power transmitted by the transmitting antenna is 2 * 63.1 = 126.2 W

    Step 2: Calculate the power received by the receiving antenna
    - The power received by the receiving antenna is given by the product of power transmitted by the transmitting antenna, the free-space path loss, and the product of the amplitude reflection coefficients at the terminals of the transmitting and receiving antennas
    - The free-space path loss is given by (4πd/λ)^2, where d is the distance between the antennas and λ is the wavelength
    - As X-band has a frequency range of 8.0-12.0 GHz, the wavelength is in the range of 2.5-3.8 cm
    - Taking the average of the range, the wavelength is approximately 3.15 cm
    - Therefore, the free-space path loss is (4π*200/0.0315)^2 = 157,496
    - The product of the amplitude reflection coefficients is 0.15 * 0.18 = 0.027
    - Therefore, the power received by the receiving antenna is 126.2 * 0.027 * 157,496 = 57.6 mW

    Step 3: Calculate the power delivered to the load at the receiver
    - The power delivered to the load at the receiver is given by the product of power received by the receiving antenna and the antenna gain of the receiving antenna
    - The antenna gain of the receiving antenna is 10^(22/10) = 158.5
    - Therefore, the power delivered to the load at the receiver is 57.6 * 158.5 = 9,131 mW = 2.99 W (approx.)

    Therefore, the power delivered to the load at the receiver is 2.99 mW.
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    Two lossless X-band horn antennas are separated by a distance of 200?. The amplitude reflectioncoefficients at the terminals of the transmitting and receiving antennas are 0.15 and 0.18,respectively. The maximum directivities of the transmitting and receiving antennas (over theisotropic antenna) are 18dB and 22dB, respectively. Assuming that the input power in the losslesstransmission line connected to the antenna is 2 W, and that the antennas are perfectly aligned andpolarization matched, the power (in mW) delivered to the load at the receiver is ____Correct answer is '2.99'. Can you explain this answer?
    Question Description
    Two lossless X-band horn antennas are separated by a distance of 200?. The amplitude reflectioncoefficients at the terminals of the transmitting and receiving antennas are 0.15 and 0.18,respectively. The maximum directivities of the transmitting and receiving antennas (over theisotropic antenna) are 18dB and 22dB, respectively. Assuming that the input power in the losslesstransmission line connected to the antenna is 2 W, and that the antennas are perfectly aligned andpolarization matched, the power (in mW) delivered to the load at the receiver is ____Correct answer is '2.99'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two lossless X-band horn antennas are separated by a distance of 200?. The amplitude reflectioncoefficients at the terminals of the transmitting and receiving antennas are 0.15 and 0.18,respectively. The maximum directivities of the transmitting and receiving antennas (over theisotropic antenna) are 18dB and 22dB, respectively. Assuming that the input power in the losslesstransmission line connected to the antenna is 2 W, and that the antennas are perfectly aligned andpolarization matched, the power (in mW) delivered to the load at the receiver is ____Correct answer is '2.99'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two lossless X-band horn antennas are separated by a distance of 200?. The amplitude reflectioncoefficients at the terminals of the transmitting and receiving antennas are 0.15 and 0.18,respectively. The maximum directivities of the transmitting and receiving antennas (over theisotropic antenna) are 18dB and 22dB, respectively. Assuming that the input power in the losslesstransmission line connected to the antenna is 2 W, and that the antennas are perfectly aligned andpolarization matched, the power (in mW) delivered to the load at the receiver is ____Correct answer is '2.99'. Can you explain this answer?.
    Solutions for Two lossless X-band horn antennas are separated by a distance of 200?. The amplitude reflectioncoefficients at the terminals of the transmitting and receiving antennas are 0.15 and 0.18,respectively. The maximum directivities of the transmitting and receiving antennas (over theisotropic antenna) are 18dB and 22dB, respectively. Assuming that the input power in the losslesstransmission line connected to the antenna is 2 W, and that the antennas are perfectly aligned andpolarization matched, the power (in mW) delivered to the load at the receiver is ____Correct answer is '2.99'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
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