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exam_pasta - (34) 10 In the ideal op amp circuit below, (a)...

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(34) 10 In the ideal op amp circuit below, (a) find the complex transfer function G = Vo/Vi in terms of Z 1 and Z 2 . (b) If the circuit is a high pass filter, find Z 1 and Z 2 in terms of R 1 , R 2 and C and sketch the circuit. (8) (c) Find the complex transfer function G = Vo/Vi in terms of R 1 , R 2 , C and j ω . (6) (d) If for the high pass filter, cutoff frequency = 10kHz and |G| = 5 at cutoff. Find R 1 and C. Given R 2 = 1k . (14) (e) Sketch |G| (in dB) ( = 20log |G| ) versus angular frequency ω . Show clearly all intercepts in your sketch. (6) 1 1 2 1 2 1 2 1 1 1 1 CR j R R C j R R Z Z V V G i o ω ω + = + = = = j R R G = 1 1 1 2 At cut-off Transfer function G Z 2 V o V i Z 1 1 2 i O Z Z V V G = = If circuit is a high pass filter 2 2 1 1 1 R Z C j R Z = + = ω R 2 V o V i R 1 C If at cut-off, frequency is 10kHz and |Vo/Vi| =5 1 1 ) 10 ( 2 CR k cutoff = = π ω 2 1 5 | | 1 2 R R G = = Given R 2 = 1k = = = 141 2 1 5 1 2 1 | | 2 1 k G R R F F x k R C cutoff µ π ω 113 . 0 10 13 . 1 141 ) 10 ( 2 1 1 7 1 = = = (c) (d) (a) ω cutoff ω 17 14 dB Vi V O dB k R R 17 141 1 log 20 log 20 1 2 = = (b) (e)
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(30) Model of diode at breakdown In the ideal op amp circuit, the diode has the reverse characteristics as shown. The diode equation is
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This note was uploaded on 10/28/2011 for the course ELEC 101 taught by Professor Chan during the Spring '09 term at HKUST.

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exam_pasta - (34) 10 In the ideal op amp circuit below, (a)...

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