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QUESTION

For the circuits in Figs . 3 ( a ) and 3 ( b ) , derive the transfer functions in the following forms ! HLP ( S ) = VLP\ V . ( s ) = KL - It - WL...

WH=1/(R3(C2+C3))

I DO NOT UNDERSTAND HOW TO SOLVE FOR R1,R2,R3, C1, C2, C3

I TRIED;

W=2PIf

BUT 'f' IS 5KHz AND I GOT CONFUSED HELP PLEASE.

1 . For the circuits in Figs . 3 ( a ) and 3 ( b ) , derive the transfer functions in the following forms !HLP ( S ) = VLP\V . ( s ) = KL -It -WLHHP ( S ) = V HP ( S ) = KH { + WHY5Viand express WL . WH, KL and KH in terms of resistors and capacitors .- VLP- VHFV ; !- G3 1/ 23- C 3( a )( b)Figure 3 : First order ( a ) lowpass Filter ( b ) highpass filterThe frequencies WL and WHY are known as !. Pole frequency , defined as the root of the denominator of H ( 5). Corner frequency , defined as the frequency at which the gain is 0.707 times the passband va. Half power frequency ( compared to passband ) , since 0. 707 2 = 0. 5. 3d B frequency ( compared to passband ) , since 20 10 8 10 ( 0. 707 ) = - 3 0B2 . Find RI , Riz, R3 , CI , C2 , and C3 , such that FL = FH = 5 KHz and KL = KH = 0. 5 .1. Sketch the magnitude and phase Bode plots for HLP ( s ) and HAP ( s ) .1. Calculate the output voltages Vip ( + ) and VHF ( t ) for Vi ( t ) = 0. 4 sin ( 2 14090 + ) .5. Repeat step 4 for Vi ( t ) = 0. 3 sin ( 2 7 6000t ) .
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