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The transmission coefficient in a wave travelling through two media having permittivities 4 and 1 is

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in Electromagnetic Theory by (188k points)
The transmission coefficient in a wave travelling through two media having permittivities 4 and 1 is

(a) 1/4

(b) 3/2

(c) 3/4

(d) 2/3

I got this question during an online interview.

Origin of the question is Reflection and Transmission Coefficients in chapter Transmission Lines of Electromagnetic Theory

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Correct answer is (d) 2/3

The best explanation: The transmission coefficient in terms of the permittivity is given by T= 2√ε2/√ε1 + √ε2. On substituting for ε1 = 4 and ε2 = 1, we get T= 2(1)/1 + 2 = 2/3.

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