HW 1. A rectangular waveguide cavity is made from a piece of copper WR-187 H-band waveguide, with a = 4.755 cm and b = 2.215 cm. The cavity is filled with polyethylene (ɛ, = 2.25, tan 6 = 0.0004). If resonance is to occur at f= 5 GHz, find the required length, d, and the resulting unloaded Q for the l= 1 and l= 2 resonant modes.

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HW
1. A rectangular waveguide cavity is made from a piece of copper WR-187 H-band
waveguide, with a = 4.755 cm and b 2.215 cm. The cavity is filled with
polyethylene (ɛ, = 2.25, tan 6 = 0.0004). If resonance is to occur at f = 5 GHz, find
the required length, d, and the resulting unloaded Q for the l= 1 and l= 2
resonant modes.
2. Consider a lossy transmission line of characteristic impedance Z, and
propagation constant y = a + jß. A resonator is designed using a short-circuited
transmission line section of length I = 1a. (Assume that the total loss of this
resonator is much less than one neper).
a) Will this section exhibit series resonance or parallel resonance? Draw the
equivalent RLC model for this resonator.
b) Find the input impedance near the resonance frequency.
c) Find the RLC model parameters of the resonator.
d) Find the Q of the resonator.
Voltage distribution
SC
Transcribed Image Text:HW 1. A rectangular waveguide cavity is made from a piece of copper WR-187 H-band waveguide, with a = 4.755 cm and b 2.215 cm. The cavity is filled with polyethylene (ɛ, = 2.25, tan 6 = 0.0004). If resonance is to occur at f = 5 GHz, find the required length, d, and the resulting unloaded Q for the l= 1 and l= 2 resonant modes. 2. Consider a lossy transmission line of characteristic impedance Z, and propagation constant y = a + jß. A resonator is designed using a short-circuited transmission line section of length I = 1a. (Assume that the total loss of this resonator is much less than one neper). a) Will this section exhibit series resonance or parallel resonance? Draw the equivalent RLC model for this resonator. b) Find the input impedance near the resonance frequency. c) Find the RLC model parameters of the resonator. d) Find the Q of the resonator. Voltage distribution SC
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