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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.

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.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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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