# prc9 - C R R j C R K z p R R j C R R C R C R j C R ="...

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ECSE-210 Winter 2011 Electric Circuits 2 9-1 Practice Set #9 P13.2-1 2 2 2 1 || 1 R R j C j C R ! = + ( ) ( ) ( ) 2 2 o 2 i 1 2 2 1 2 1 1 1 p R j C R R R j C R R R R j C R + = = + + + = + V H V where R p = R 1 || R 2 . When R 1 = 40 Ω , R 2 = 10 Ω and C = 0.5 F ( ) 0.2 1 4 j = + H P13.2-6 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) i a o i o a 1 1 A R j L C R L j j A R j C " = # + # \$ = % ' # + = ( ) # * + , V I V V V I When R = 20 Ω , L = 4 H, A = 3 A/A and C = 0.25 F ( ) ( ) ( ) ( ) 0.6 1 0.2 j j = + H

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ECSE-210 Winter 2011 Electric Circuits 2 9-2 P13.2-9 2 2 o i 1 1 2 2 2 1 1 1 1 ( ) ( ) = ( ) 1 1 1 R j C R j C R j C R R j C R ! = " + = " + V H V 2 1 1 1 2 2 1 ( ) 1 R j C R R j C R " # " # + = \$ % + ' ( ' ( H 1 2 1 2 2 1 1 2 2 1 When 10 k , 50 k , 4 F and 2 F, 1 1 then 5 , and 25 10 so R R C C R C R C R R μ = ! = ! = = = = = 1 25 ( ) = 5 1 10 j j " # + \$ % \$ % \$ % + \$ % ' ( H ( ) 2 2 1 625 ( ) 5 1 100 gain + = = + H 1 1 ( ) 180 tan tan 25 10 phase shift " " # \$ # \$ = % = + " ' ' ( ) ( ) Ç
ECSE-210 Winter 2011 Electric Circuits 2 9-3 P13.2-10 3 3 3 3 3 1 1 1 1 R R j C R j C j C R R j C ! = = + + 3 2 3 2 3 2 3 1 1 1 3 1 ( ) R R j C R R R j R R C R R j R R C + + + + = " = " + H 2 3 0 1 2 2 1 1 3 1 2 5 lim ( ) 2 = lim ( ) 2 20 k then 5 30 k R R R R R R R R R R " "# + = = = \$ = = % = = % H H P13.3-1 5 20 20 1 20 5 ( )= 5 50 5 1 50 20 5 50 200 50 j j j j j " # # < # # # \$ % + \$ % # ' # ' ( ) * < < ( ) + \$ % # + ' # ( ) # \$ % ' # < ( ) # = \$ % # ' # ( ) , H

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ECSE-210 Winter 2011 Electric Circuits 2 9-4 P13.3-4 2 2 1 1 2 2 2 1 1 2 2 1 1 1 2 2 1 1 (1 ) 1 1 1 ( ) so , and (1 ) 1 R R j
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Unformatted text preview: C R R j C R K z p R R j C R R C R C R j C R ! + + = " = " = " = = + + H When z < p When z > p P13.3-7 ( ) ( ) ( ) 2 o i 2 2 2 2 2 1 1 R j L R R j L L j R R L R R j R R + = = + + " # + \$ % " # \$ % = \$ % \$ % \$ % + & ' + \$ % + & ' V H V ( ) ( ) ( ) ( ) ( ) 0.2 0.2 1 0.2 1 5 1 0.04 0.2 1 25 0.04 k j z j p " # = # + # = \$ = = % + # # = = # & H ECSE-210 Winter 2011 Electric Circuits 2 9-5 H2...
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prc9 - C R R j C R K z p R R j C R R C R C R j C R ="...

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