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The intrinsic impedance of a TE wave having a cut off frequency of 6 GHz at a frequency of 7.5 GHz in air is

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The intrinsic impedance of a TE wave having a cut off frequency of 6 GHz at a frequency of 7.5 GHz in air is

(a) 628.33

(b) 338.62

(c) 498.76

(d) 342.24

This question was posed to me in my homework.

The origin of the question is Transverse Electric Waves(TE) in chapter Waveguides of Electromagnetic Theory

1 Answer

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Right answer is (a) 628.33

For explanation: The intrinsic impedance of a TE wave is given by ηTE = η/cos θ, where cos θ is given by √(1- (fc/f)^2). On substituting for fc = 6 GHz, f = 7.5 GHz and η = 377, we get the intrinsic impedance as 628.33 units.

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