C17-activities

# C17-activities - 2ND ORDER OP AMP CIRCUITS R1 v 1 vS(t R2...

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1 2 ND ORDER OP AMP CIRCUITS 3 2 7 4 6 1 5 + - V+ V- OUT OS1 OS2 S v( t ) 1 R 2 R 1 C 2 C CC V + CC V 1 v 2 v 2 v Voltage Follower N 2 Find V (t) 2 ND ORDER OP AMP CIRCUITS 3 2 6 1 5 + - OUT OS1 OS2 S t ) 1 R 2 R 1 C 2 C CC V + CC V 1 v 2 v 2 v 1 i C i 2 i 12C K C L : iii = + S1 1 1 vv i R = 2 22 dv iC dt = () C1 12 d iC vv dt =− 2 ND ORDER OP AMP CIRCUITS 3 2 6 1 5 + - OUT OS1 OS2 S t ) 1 R 2 R 1 C 2 C CC V + CC V 1 v 2 v 2 v 1 i C i 2 i K C L : =+ s1 2 12 1 1 2 1 dv d C ( v v ) Rd t d t ==+ Need v in terms of v 2 ND ORDER OP AMP CIRCUITS 3 2 6 1 5 + - OUT OS1 OS2 S t ) 1 R 2 R 1 C 2 C CC V + CC V 1 v 2 v 2 v 1 i C i 2 i 2 2 KVL: v v i R = + 2 12 2 2 dv vvR C dt 2 ND ORDER OP AMP CIRCUITS 2 2 dv C dt 2 1 1 2 1 dv d C ( v v ) t d t 2 2 S 21 2 2 11 dv vR C v dv dv d dt CC R C R R dt dt dt ⎛⎞ + ⎜⎟ ⎝⎠ −= + 2 1122 2 S 2 dv RCRC (RC RC) v v dt dt ++ + = 2 ND ORDER OP AMP CIRCUITS 2 11 2 2 2 2 2 S 2 v v dt dt + = 2 0 2 S 2 aa a v v dt dt + += 2 2 00 2 2 2v f [ x ( t ) ] dt dt ζω ω = 2 0 2 2 2 1 2 2 2 1 1 2 2 a a( R CR C ) 1 2 aR C R C a R C R C + ==

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2 2 ND
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## This note was uploaded on 10/21/2010 for the course ECSE 2010 taught by Professor Millard during the Spring '08 term at Rensselaer Polytechnic Institute.

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C17-activities - 2ND ORDER OP AMP CIRCUITS R1 v 1 vS(t R2...

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