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1. An air filled X-band rectangular waveguide with the dimensions a = 2.286cm and b = 1.016cm is operated at frequencies near 20GHz. Determine for the TE11 mode:Given: a = 2.286cm, b = 1.016cm, f = 20GHzI. Wave impedanceII. Phase constantIII. Phase velocityIV. Guide wavelengthV. Also determine the other modes that can propagate at this frequency.
2. separated by 3 cm thick lossy dielectric described by r = 2.89, µr = 1, σ =1.2 × 10-10S/m . The operating frequency is 11 GHz. Given that copper is non-magnetic, determine for the TM1mode;Given: σc= 5.8 × 107S/m, r = 2.89, µr = 1, σ = 1.2 × 10-10S/m at 11GHzDetermine;i. The cut-off frequencyii. group velocityiii. Guide wavelengthiv. Phase velocity
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