ความรู้พื้นฐานทางวิศวกรรมไฟฟ้า(252282) ความรู้พื้นฐานเบื้องต้น

ความรู้พื้นฐานทางวิศวกรรมไฟฟ้า(252282) ความรู้พื้นฐานเบื้องต้น

(252282) Op-Amp (Operational Amplifiers) (CANDLE) (Op-Amp,

Operational Amplifier) 3 (Voltage-Controlled Voltage Source, VCVS) (Op-Amp, Operational Amplifier) (Op-Amp, Operational Amplifier) (Non-inverting

Terminal) N o n i n v e r ti n g i n p u t (Inverting O u tp u t Terminal) I n v e r ti n g i n p u t (Output Terminal) (Op-Amp, Operational Amplifier) v2

Ri R o : Ri vd A vd : R o vd v1 : vd v2 v1 vo (Op-Amp, Operational Amplifier) vvo Av AAvv2 vv1 d Av o d 2 1

A Param Typical Ideal v2 vd v1 Ri Ro A vd vo eter A Ri range 105 to 108 values 105 to 1013 (Op-Amp,

Operational Amplifier) v o 3 - V C C P o s i ti v e S a tu r a ti o n v d (Positive N e g a ti v e S a tu r a ti o n -V C C saturation) - i1= 0 vd A

i = 0 2 R i Ro 0 0Hz Hz io i1= 0 vd i 0 , i 0 1

2 i2= 0 io inverting (Stability) : (Positive /Negative Saturation)

R2 R1 vS v1 vo v1 vS 0 R2 R1 v1 vd v2 (2) (1) vo R1 R2 R1____ (1) vS v1 vo R2 R2 (2) vo Avd A v2 - v1____

R1 R2 R1 vS v1 A v2 v1 R2 R2 R1 R2 R1 R1 vs Av2 A v1 R2 R2 R2 R1 1 A R1 vs Av2 1 v1 ____ (3) R2 R2 3

1 R1 1 A vS R1 v2 v1 A R2 AR2 A 0 1 0 R1 vS R1 v2 v1 A R2 A R2 v2 v1 i1= 0 v1 io 0 v 0 vd v2 v1 0 v2 i2= 0

d (Cascade) Cascade (Cascade) v1 S ta g e 1 S ta g e 2 S ta g e 3 v2= A 1v1 v3= A 2v2 vo= A 3v3 A1 A2 A3

v1 A vo (Cascade) A A1 A2 A3 vo A1 A2 A3 v1 Av1 S ta g e 1 R2 S ta g e 2 R1 vi gain R4 R3 R2 R1

R2 vi R1 gain R4 R3 vo R4 R2 vi R3 R1 (Inverting Amplifier) KCL i2 v1 : vi i1 i2 0 v1 vi v1 vo 0 R1 Rf vi

R1 i1 v 1 v2 Rf 0A 0V 0A v1 v2 v2 0 vo vo (Inverting Amplifier) vi vo 0 R1 R f vo Rf

R1 vi R1 vi Rf vo vi R1 vi i2 i1 v 1 v2 Rf 0A 0V 0A vo vo

(Non-Inverting Amplifier) KCL i2 Rf v1 : R1 i1 i2 0 i1 v 1 v2 vi v1 0 v1 vo 0 R1 Rf 0A 0V 0A v1 v2

v2 vi vo vo (Non-Inverting Amplifier) vi vi vo 0 R1 Rf Rf vo 1 R1 vi R1 Rf vo 1 vi R1 i2

i1 v 1 v2 vi Rf 0A 0V 0A vo vo (Summing Amplifier) KCL R v 1 i1 i2 i3 i v1 va i1 R1 v3 va i3 R3 v2 va

i2 R2 v v i a o Rf v 2 v 3 1 R i 1 2 R i 2 va :i v a R

f 0A 0V 3 i 3 0A v o v Rf Rf Rf vo v1 v2 v3 R1 R2 R3 a v 0

o (Summing Amplifier) v 1 v 2 v 3 R i 1 R i 1 2 R i 2

v a R f 0A 0V v o 3 i 3 R1 R2 R3 R v 0A o vo Rf R

v v v 1 2 3 (Difference Amplifier) KCL va v1 va vo 0 R1 R2 va : R1 v1 R2 R vo 1 va 2 v____ (1) 1 R1

R1 KCL vb v2 vb 0 0 R3 R4 v2 R3 R2 va vb 0A R4 v b :R 0A vo vo vb

v____ 2 (2) R R 4 3 4 (Difference Amplifier) va vb vb (2) va (1) R2 R4 R2 vo 1 v1 v2 R1 R1 R3 R4 R2 1 R1 R2 R2 vo v2 v1 R1 1 R3 R4 R1

(Difference Amplifier) R3 R1 R2 R4 R2 vo v2 v1 R1 R1 R2 R3 R4 vo v2 v1 Schwarz and Oldham, Electrical

Engineering, 2nd, Saunders College Publishing, 1993 Giorgio Rizzoni, Principles and Applications of Electrical Engineering, 4th, McGRAW-Hill Companies, 2003

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