A quarter-wave monopole radio antenna (also called a Marconi antenna) consists of a long conductor of one quarter the length of the transmit

Question

A quarter-wave monopole radio antenna (also called a Marconi antenna) consists of a long conductor of one quarter the length of the transmitted wavelength. The lower end of the antenna is connected to a conducting ground plane (often simply the Earth) which reflects the transmitted signal, creating an effective antenna length of a half wavelength. (a) What must be the height of the antenna (in m) for a radio station broadcasting at 514 kHz

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Edana Edana 5 years 2021-07-17T17:16:53+00:00 1 Answers 52 views 0

Answers ( )

  1. Calantha
    0
    2021-07-17T17:18:21+00:00
    Reply

    Answer:

    145.91 m

    Explanation:

    Data provided in the the question:

    Wavelength of radio wave, \lambda = \frac c f

    Here, c is speed of radio wave in air = 3 × 10⁸ m/s

    f is the frequency = 514 kHz = 514 × 10³ Hz

    Thus,

    Wavelength = (3 × 10⁸) ÷ (514 × 10³) m

    or

    Wavelength = 583.65 m

    Thus,

    The height of the antenna will be

    = \frac \lambda 4 = 583.65 ÷ 4 m

    = 145.91 m

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