Question

The plate separation of a parallel-plate waveguide is 0.5 mm and the plate's width is 5 mm. The dielectric filling is polystyrene (Table 4-2 on page 204 contains data for polystyrene among other dielectrics). The waveguide is used at 25 GHz.

a) List all modes that are excited in the waveguide.

b) Compute the maximum average power that the guide can safely be used to transmit. Use a safety factor of 20.

Answer: a) TEM, b) 5.35 kW

please show all work.

Answer #1

**a)**

relative permittivity of polystyrene

proove the frequency of propagation is lower than the lowest frequency at n=1

Thus, only TEM modes are excited

**b)**

The breakdown Electric field of polystyrene:

Power is:

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