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Question

The depth of penetration may be defined as that depth in which the wave has been attenuated by

The correct answer is
67% approximately of its initial value

Defining Depth of Penetration for Wave Attenuation

The depth of penetration, often referred to as skin depth in electromagnetic contexts, signifies how deeply a wave (like an electromagnetic wave or an acoustic wave) can travel into a medium before its amplitude significantly diminishes.

This depth is conventionally defined based on the attenuation experienced by the wave. Specifically, it is the depth at which the wave's amplitude has decreased to approximately 37% of its initial value at the surface. This corresponds to the wave being attenuated by approximately 63% ($100\% - 37\%$).

The provided options relate to the percentage by which the wave has been attenuated (i.e., the loss). Option C states that the wave has been attenuated by approximately 67% of its initial value. This is consistent with the standard definition, where the attenuation is roughly 63-67%, leading to a remaining amplitude of about 33-37%.

  • The depth of penetration is reached when the wave's amplitude decays significantly.
  • This decay is measured as attenuation, the reduction in amplitude.
  • Option C correctly identifies this depth as where the wave is attenuated by approximately 67%.

Therefore, the depth of penetration corresponds to the depth where the wave experiences roughly 67% attenuation.

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Important Questions from Electromagnetic Wave Propagation

  1. For sky waves, following statements are given:

    (A) n > 1, this shows 81 \(\rm\frac{N}{f^2}\) positive

    (B) n > 1, show 81 \(\rm\frac{N}{f^2}\)  Negative

    (C) n < 1 shows 81 \(\rm\frac{N}{f^2}\)  < 1

    (D) v g x v p= c 2

    (E) n = 0 shows 81 \(\rm\frac{N}{f^2}\)  = 1, f = f c

    Choose the correct answer from the options given below:

  2. If the Polarization vector is given as N and the Direction of propagation is given as K then which one of the following relations is correct?

  3. The wave length (λ) in meters of an electromagnetic wave is related to its frequency (f) in MHz as:

  4. Bending of light wave as it passes between material of different optical density

  5. The wave impedance of a medium is equal to:

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