It is desired to design a series RLC resonator having the following specification: Quality Factor (Unloaded) Resonance Frequency (GHz) Resistance R (ohms) 10 50 a) Using the specification shown above, find L and C of the series resonator and draw the final circuit showing all the design values. b) If a 100 2 load is connected across the resonator find the loaded quality factor. c) Replace the capacitor in the series resonant circuit with an open circuited line having a relative permittivity of & = 3.4 and a characteristic impedance of 50 %3D Ω.

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It is desired to design a series RLC resonator having the following specification:
Quality Factor (Unloaded)
Resonance Frequency (GHz)
Resistance R (ohms)
10
2
50
a) Using the specification shown above, find L and C of the series resonator and
draw the final circuit showing all the design values.
b) If a 100 2 load is connected across the resonator find the loaded quality factor.
c) Replace the capacitor in the series resonant circuit with an open circuited line
having a relative permittivity of e, = 3.4 and a characteristic impedance of 50
Ω.
Transcribed Image Text:It is desired to design a series RLC resonator having the following specification: Quality Factor (Unloaded) Resonance Frequency (GHz) Resistance R (ohms) 10 2 50 a) Using the specification shown above, find L and C of the series resonator and draw the final circuit showing all the design values. b) If a 100 2 load is connected across the resonator find the loaded quality factor. c) Replace the capacitor in the series resonant circuit with an open circuited line having a relative permittivity of e, = 3.4 and a characteristic impedance of 50 Ω.
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