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For an EM wave incident on a conducting medium, the depth of penetration is
Question

For an EM wave incident on a conducting medium, the depth of penetration is

A.

directly proportional to the attenuation constant

B.

inversely proportional to the attenuation constant

C.

has a logarithmic relationship with the attenuation constant

D.

independent of the attenuation constant

Correct option is B


The depth of penetration (also known as the skin depth) is a measure of how deeply an electromagnetic (EM) wave can penetrate into a conducting medium before its amplitude is significantly reduced. It is denoted by the symbol δ δ.
Skin Depth Formula: The skin depth  δ is given by: δ=1/α
where:
· α is the attenuation constant, which determines how quickly the EM wave's amplitude decreases as it propagates through the medium.
Relationship with Attenuation Constant:
· From the formula, it is clear that the skin depth  δ is inversely proportional to the attenuation constant α.
· A higher attenuation constant means the wave attenuates more quickly, resulting in a smaller skin depth.
· Conversely, a lower attenuation constant means the wave attenuates more slowly, resulting in a larger skin depth.

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