20102ee161_1_ee161_1_HW5

20102ee161_1_ee161_1_HW5 - unknown permittivity has...

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EE161, HW5 #1. For an air-filled rectangular waveguide with inner dimensions 0.9 in by 0.4in., (1) assume f=9GHz, calculate Z TM and Z TE for each of the modes. (2) what is λ g, V p and V g for TE 10 mode. (3) Do that again for the same waveguide filled with polyethylene (whose ε r=2.25) #2. An air-filled rectangular waveguide should operate in the TE10 mode at 3GHz. This should be at least 15% above the cutoff frequency for the dominant mode and at least 20% below the cutoff frequency for the next-higher-order mode. Find the guide dimensions #3. (Textbook 8.36) A TE wave propagating in a dielectric-filled waveguide of
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Unformatted text preview: unknown permittivity has dimensions a=5cm and b=3cm. If the x-component of its electric field is given by E x =-36cos(40 π x)sin(100 π y)sin(2.4 π x 10 10 t-52.9 π z) Determine: (a) the mode number (b) dielectric constant of the material in the guide (c) the cutoff frequency, and (d) the expression for H y #4. (Textbook 8.40) A narrow rectangular pulse superimposed on a carrier with a frequency of 9.5GHz was used to excite all possible modes in a hollow guide with a=3cm and b= 2cm. If the guide is 100m in length, how long will it take each of the excited modes to arrive at the receiving end?...
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