Microwave frequency.

1. Compute the skin depth of two commonly used metals in microwave engineering at
   microwave frequency.
2. Consider a plane wave normally incident on a half-space of copper. Taking 2.3 GHZ frequency, compute the propagation constant, intrinsic impedance, reflection and transmission coefficients for the conductor.
3. Consider a length of Teflon-filled, copper K-band rectangular waveguide having dimensions a cm and b cm. Find the cutoff frequencies of the first five propagating modes. If the operating
   frequency is f GHz, find the attenuation due to dielectric and conductor losses.
4. Find the cutoff frequencies of the first two propagating modes of a Teflon-filled circular waveguide with a cm. If the interior of the guide is gold plated, calculate the overall loss in dB for l cm length operating at f GHz.
5. Consider an RG-401U semi-rigid coaxial cable, with inner and outer conductor diameters of an in. and b in., and a Teflon dielectric with ε r. What is the highest usable frequency before the TE11 waveguide mode starts to propagate?
6. Calculate and plot the propagation constants of the first three propagating surface wave modes of a grounded dielectric sheet with ε r, for d/λ 0 = 0 to x
7. Design a microstrip line on an mm alumina substrate (ε r, tan δ) for an R Ω characteristic impedance. Find the length of this line required to produce a phase delay of θ◦ at f GHz, and compute the total loss on this line, assuming copper conductors.
8. Derive the impedance and admittance matrices for a two-port network.

Sample Solution

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