exam_pastb - (16 2 Find VO VS in terms of R C and jw If C =...

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Find V O / V S in terms of R, C and jw. If C = 1 µ F , R 1 = 1k , R 2 = 10k , find the complex transfer function G (= V O / V S ). Is the op amp circuit a low pass filter? Assume the op amp is ideal. (16) (16) (12) 2 Circuit is a high pass filter (4) ω + = µ ω + = ω + + = ω + + = = k j k * * j R R CR j R R C j R R V V G S O 1 1 10 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 2 S V R 2 V O R 1 C R 1
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(21) In an op amp filter circuit, the complex transfer function G (= V O / V S ) is given as. (a) Find ω O and plot the magnitude of G ( | G | ) versus the angular frequency ω . Show clearly the value of | G | when ω = and ω = ω O in your plot. (b) If , find V O (t) . Given that the op amp is ideal , C = 1x10 -4 F , R = 1k , ω O = 1/CR . (21) (21) 3 CR j ω + 1 20 s rad k mF CR O / 10 1 * 1 . 0 1 1 = = = ω (3) G V t t V O S ω 2 cos 1 ) ( = (9) V t t V j V o O o O ) 4 . 63 10 cos( 5 20 ) ( 4 . 63 5 20 2 1 20 * 0 1 = = + = (a) (b) 2 20 s / rad in ω 20 10 = O ω (9)
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4 (12) . In the ideal op amp circuit, the diode equation is . where I O = 1x10 -12 A . Find V O if V 2 = - 0.62V. Show clearly your steps and reasons. (12) ] 1 [ 25 = mV V O D D e I I If V2 = - 0.62V D is a ON diode mA mV mV pA mV V I I O 59 ) 25 620 exp( ) 1 ( ) 25 exp( 2 2 = (12) (a) 15V D V O -15V 2 V 100 I V . V . * I V O 52 6 62 0 100
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(12) 4 (b) In the ideal diode circuit, find Vc and sketch Vo(t). Label clearly V O (t) . Assume the diode is ideal. (12) (4) V O = Vi + Vc
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