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312ps7 - PROBLEM SET 7 ECE 312 Autumn Quarter 2010 Assigned...

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PROBLEM SET 7 ECE 312 Autumn Quarter 2010 Assigned: November 17th Due: November 24th in class Instructor: Joel Johnson Problem 1 An air filled parallel plate waveguide has a plate spacing of 8 mm. (a) Find the cutoff frequencies of the TM0, TM1, TE1, TM2, and TE2 modes in this waveguide. (b) The TE1 mode at a frequency of 20 GHz is propagating in this guide. Write the electric field of this guide, assuming the amplitude E 0 1 = V/m. Include numerical values for all quantities in the field expression. (c) Write the magnetic field associated with the electric field of part (b). (d) Find the time averaged Poynting vector of the TE1 mode in part (b). In which direction does time averaged power propagate in this waveguide? Problem 2 An engineer desires to use an a parallel plate waveguide filled with a medium having μμ 0 = , ε 4 ε 0 = to transmit fields in the TM0, TM1, and TE1 modes only at a frequency of 5 GHz. (a) Find the smallest possible spacing between the parallel plates ( d min ) so that the desired modes can propagate at 5 GHz.
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312ps7 - PROBLEM SET 7 ECE 312 Autumn Quarter 2010 Assigned...

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