Answer to Question #305146 in Electricity and Magnetism for Rhulani

Question #305146

A circular copper waveguide has a radius of 0.4 cm and is filled with a dielectric material having 𝜀𝑟 = 1.5 and tan δ = 0.0002.

2.1.1. Identify the first four propagating modes and their cut-off frequencies.

2.1.2. For the dominant mode, calculate the attenuation due to dielectric loss and attenuation due to conductor loss at 20 GHz.


1
Expert's answer
2022-03-02T14:38:07-0500

1)

"\\nu_1=20~GHz,"

"\\nu_2=5.0~GHz,"

"\\nu_3=2.2~GHz,"

"\\nu_4=1.3~GHz."

2)

"k_d=\\omega\\sqrt{\\mu\\epsilon(1-j\\tan\\delta)}=0.4~GHz,"

"k_c=\\beta-j\\alpha=350~MHz."


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