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26 September, 16:17

A transmission line has a velocity factor of 0.88. You desire to create a quarter-wavelength phasing section at an operating frequency of 150 MHz. Calculate the following:

a) wavelength, freespace

b) wavelength, dielectric

c) length of the phasing section in meters

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  1. 26 September, 19:21
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    a) λ = 2 meters

    b) λ = 1.76 meters

    c) In free space: length of phasing section = 0.5 meters and in dielectric medium: length of phasing section = 0.44 meter

    Explanation:

    Given that:

    velocity factor = 0.88

    operating frequency = 150 MHz = 150 * 10⁶ Hz

    phasing section is a quarter-wavelength = λ/4

    a) Wavelength of free space:

    λ = c/f

    where c is the speed of light = 3*10⁸

    λ = (3*10⁸) / 150 * 10⁶

    λ = 2 meters.

    b) Wavelength of dielectric:

    Velocity of dielectric = speed of light (c) * velocity factor

    Velocity of dielectric = 3*10⁸ * 0.88 = 2.64 * 10⁸ m/s

    wavelength dielectric = Velocity of dielectric / f = (2.64 * 10⁸) / 150 * 10⁶ = 1.76

    wavelength dielectric = 1.76 meters

    c) length of the phasing section in meters:

    l = λ/4

    In free space:

    l = 2/4 = 0.5 meter

    In dielectric

    l = 1.76/4 = 0.44 meter
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