Solution+HW18 - Sections 9-4 and 9-5 Passive Filters...

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Unformatted text preview: Sections 9-4 and 9-5: Passive Filters Problem 9.20 The element values of a series RLC bandpass filter are R = 5 , L = 20 mH, and C = . 5 F. (a) Determine , Q , B , c 1 , and c 2 . (b) Is it possible to double the magnitude of Q by changing the values of L and/or C , while keeping and R unchanged? If yes, propose such values, and if no, why not? Solution: (a) = 1 LC = 1 20 10 3 . 5 10 6 = 10 4 rad/s , Q = L R = 10 4 20 10 3 5 = 40 , B = Q = 10 4 40 = 250 rad/s , c 1 = B 2 = 10 4 250 2 = 9875 rad/s , c 2 = + B 2 = 10 4 + 250 2 = 10125 rad/s . (b) Q = L R = R = Q L . Since and R are constants, doubling Q requires that L be doubled, but to keep constant would require C to be reduced to one half. Thus, the new set of element values are: R = 5 , L = 40 mH , and C = . 25 F . The corresponding values of and Q are: = 10 4 rad/s (unchanged) Q = L R = 80 . Problem 9.24 Design a parallel RLC filter with...
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This note was uploaded on 02/21/2011 for the course MSE 231 taught by Professor Bedford during the Spring '10 term at University of Michigan.

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Solution+HW18 - Sections 9-4 and 9-5 Passive Filters...

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