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The transmission coefficient of a wave travelling through two media having electric intrinsic impedances of 3 and 2 respectively is

(a) ^2⁄2

(b) ^8⁄9

(c) ^4⁄5

(d) ^1⁄4

The question was posed to me by my college professor while I was bunking the class.

Question is from Intrinsic Impedance and Propagation Constant topic in division Transmission Lines of Electromagnetic Theory

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Right answer is (c) ^4⁄5

Explanation: The transmission coefficient in terms for intrinsic impedance is R = 2η2/η2 + η1. On substituting the given data, we get R = 2 x 2/2 + 3 = 4/5.

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