EEE445_hw10sln

# EEE445_hw10sln - EEE 445/591 Homework#10 Solutions 6.1...

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EEE 445/591 Homework #10 Solutions 6.1 Consider the loaded parallel resonant RLC circuit shown below. Compute the resonant frequency, unloaded Q , and loaded Q . Solution: Resonant frequency: 355 2 1 0 LC f MHz Unloaded Q : 9 . 17 0 RC Q Loaded Q : 4 . 12 1 1 1 2 . 40 0 e L L e Q Q Q C R Q 6.5 A resonator is constructed from a 3.0 cm length of 100 air-filled coaxial line, shorted at one end and terminated with a capacitor at the other end, as shown. (a) Determine the capacitor value to achieve the lowest order resonance at 6.0 GHz. (b) Now assume that loss is introduced by placing a 10,000 resistor in parallel with the capacitor. Calculate the Q . Solution: (a) The electrical length of the air-filled transmission line at 6 GHz is given by 7725 . 3 2 l c f l The impedance looking into the line at 6 GHz is  05 . 73 tan 0 j jZ Z R

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The impedance of the capacitor at 6 GHz is given by C j Z L 11 10 653 . 2 Imposing the resonance condition at 6 GHz, we have 0 L
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## This note was uploaded on 12/14/2010 for the course EEE 445 taught by Professor Georgepan during the Fall '10 term at ASU.

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EEE445_hw10sln - EEE 445/591 Homework#10 Solutions 6.1...

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