ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION...
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Transcript of ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION...
![Page 1: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/1.jpg)
ECE 340ELECTRONICS I
OPERATIONAL AMPLIFIERS
![Page 2: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/2.jpg)
OPERATIONAL AMPLIFIER
• THEORY OF OPERATION
• CHARACTERISTICS
• CONFIGURATIONS
![Page 3: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/3.jpg)
THEORY OF OPERATION
• AMPLIFIES DIFFERENCE OF TWO INPUT SIGNALS
• PRODUCES SINGLE OUTPUT
• OPERATES OVER WIDE FREQUENCY RANGE
![Page 4: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/4.jpg)
CHARACTERISTICS
• LARGE OPEN LOOP GAIN
• LARGE INPUT IMPEDANCE
• SMALL OUTPUT IMPEDANCE
• LARGE BANDWIDTH
![Page 5: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/5.jpg)
OPAMP DEFINITIONS
• OPEN LOOP GAIN – AO
• INPUT RESISTANCE – RIN
• OUTPUT RESISTANCE – ROUT
• NON-INVERTING INPUT CURRENT – i+
• INVERTING INPUT CURRENT – i-
![Page 6: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/6.jpg)
SYMBOL
+
-
vout
v-
+VPOS
-VNEG
v+
![Page 7: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/7.jpg)
IDEAL OPERATIONAL AMPLIFER
• INFINITE OPEN LOOP GAIN
• INFINITE INPUT RESISTANCE
• ZERO OUTPUT RESISTANCE
• ZERO INPUT CURRENT
![Page 8: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/8.jpg)
IDEAL CHARACTERISTICS
00
0
ii
RR
A
OUTIN
O
![Page 9: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/9.jpg)
IDEAL RELATIONSHIPS
vvvvAv
vvv
Oout
in
![Page 10: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/10.jpg)
CIRCUIT MODEL
vo
+
v+
-
v-
-
vin
Rout
+ AO*vin+
vo-Rin
![Page 11: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/11.jpg)
CONFIGURATIONS
• INVERTING GAIN AMPLIFIER
• NON- INVERTING GAIN AMPLIFIER
• UNITY GAIN AMPLIFIER
• SUMMING AMPLIFIER
• DIFFERENCE AMPLIFIER
![Page 12: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/12.jpg)
CONFIGURATIONS
• VOLTAGE INTEGRATOR
• VOLTAGE DIFFERENTIATOR
![Page 13: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/13.jpg)
INVERTING GAIN AMPLIFIER
RF
vo
+
-
vi
RI
VIRTUAL GROUND
io
ii
![Page 14: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/14.jpg)
CURRENT PROPERTIES
oi
f
oo
i
ii
ii
R
vi
R
vi
![Page 15: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/15.jpg)
VOLTAGE RELATIONSHIPS
i
f
i
o
f
o
i
i
R
R
v
v
R
v
R
v
![Page 16: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/16.jpg)
NON-IDEAL ANALYSIS
oIF
Ii
IF
F
F
o
I
i
IF
IF
F
o
I
i
FIF
o
I
i
vRR
Rv
RR
Rv
R
v
R
v
RR
RRv
R
v
R
vv
RRR
vv
R
vv
11
0
![Page 17: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/17.jpg)
SUBSTITUTION INTO OPAMP EQUATION
iIF
FO
IF
IOo
oIF
Ii
IF
FOo
oIF
Ii
IF
F
Oo
vRR
RA
RR
RAv
vRR
Rv
RR
RAv
vRR
Rv
RR
Rvv
vvAv
1
0
0
![Page 18: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/18.jpg)
VOLTAGE GAIN EQUATION
OI
FI
F
i
o
OI
F
O
I
F
i
o
IOIF
FO
i
o
IF
IO
IF
FO
i
o
AR
RR
R
v
v
ARRA
R
R
v
v
RARR
RA
v
v
RR
RA
RR
RA
v
v
111
1
1
1
![Page 19: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/19.jpg)
GAIN ERROR
%1001
1%
111
111
1
11
1
OI
F
OI
F
I
F
i
o
OI
FI
F
i
o
AR
Rerrorgain
AR
R
R
R
v
v
ARRR
R
v
v
small
![Page 20: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/20.jpg)
HIGH GAIN INVERTING AMPLIFIER
R2 R4
R3
R5
+
-
vO
R1
vI
vx
![Page 21: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/21.jpg)
VOLTAGE AND CURRENT RELATIONSHIPS
21
43232
32
432
32
32
32
R
vi
R
vi
ii
vRRRRR
RRvv
RRR
RR
RRRR
v
XO
II
OI
OXOX
![Page 22: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/22.jpg)
VOLTAGE GAIN CALCULATION
324
1
2
32
43232
1
2
43232
32
21
111
1
RRR
R
R
v
v
RR
RRRRR
R
R
v
v
vRRRRR
RR
Ri
R
vi
I
O
I
O
OOI
I
![Page 23: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/23.jpg)
DESIGN CONSIDERATIONS
3
2
1
2
42
324
1
2
2
111
R
R
R
R
v
v
RRIf
RRR
R
R
v
v
I
O
I
O
![Page 24: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/24.jpg)
NON-INVERTING GAIN AMPLIFIER
io
vi
RI
+
-
vo
RF
![Page 25: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/25.jpg)
IDEAL NON-INVERTING GAIN AMPLIFIER EQUATIONS
i
IF
oo
vv
RR
vi
![Page 26: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/26.jpg)
GAIN CALCULATION
I
F
i
o
oIF
Ii
oIF
IoI
R
R
v
v
vRR
Rvvv
vRR
RviRv
1
![Page 27: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/27.jpg)
NON-IDEAL EQUATIONS
FI
I
O
i
o
FI
IO
O
i
o
iOFI
IOoo
FI
IiOo
oFI
Ii
RRR
Av
v
RRRA
A
v
v
vARR
RAvv
RR
RvAv
vRR
Rvvv
11
1
1
![Page 28: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/28.jpg)
NON-IDEAL EQUATIONS
OI
FII
FI
i
o
IO
FI
FI
i
o
IO
FI
FI
i
o
FI
I
O
i
o
ARRRR
RR
v
v
RARRRR
v
v
RARRRR
v
v
RRR
Av
v
11
1
11
![Page 29: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/29.jpg)
GAIN ERROR CALCULATION
%1001
1%
111
11
11
11
1
OI
F
OI
F
I
FI
i
o
OI
FI
I
FI
i
o
OI
FI
I
FI
i
o
OI
FII
FI
i
o
AR
Rerrorgain
AR
R
R
RR
v
v
AR
RR
R
RR
v
v
AR
RR
R
RR
v
v
ARRRR
RR
v
v
![Page 30: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/30.jpg)
UNITY GAIN AMPLIFIER
vi
+
-
vo
![Page 31: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/31.jpg)
UNITY GAIN AMPLIFIER EQUATIONS
oi
oi
vvvv
vvvv
ii
00
![Page 32: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/32.jpg)
PRACTICAL UNITY AMPLIFIER EQUATIONS
O
O
i
o
O
iOo
oiOoOo
oi
A
A
v
v
A
vAv
vvAvvvAv
vvvv
11
![Page 33: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/33.jpg)
INVERTING SUMMING AMPLIFIER
R2
v3
v1
R1
v2
+
-
RF
voR3 0 V
![Page 34: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/34.jpg)
GAIN CALCULATIONS
33
22
11
3
3
2
2
1
1
321
vR
Rv
R
Rv
R
Rv
R
v
R
v
R
v
R
v
iiii
FFFo
F
o
o
![Page 35: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/35.jpg)
NON-INVERTING SUMMING AMPLIFIER
vO
v2
R3
RF
R2
v3
RA
R1
v1 +
-
![Page 36: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/36.jpg)
VOLTAGE RELATIONSHIPS USING SUPERPOSITION
o
AF
A
oAF
A
vRR
Rv
RRR
RRv
RRR
RRv
RRR
RR
vvvRR
Rv
vRRR
RRv
RRR
RRv
RRR
RRv
3321
212
213
131
132
32
3321
212
213
131
132
32
![Page 37: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/37.jpg)
INPUT VOLTAGE ONE EQUIVALENT
1
32132
321
132
32
1
132
32
32
32
1132
32
vRRRRR
RRv
RRR
RR
v
RRRRR
RRRR
vRRR
RR
![Page 38: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/38.jpg)
INPUT VOLTAGE TWO EQUIVALENT
2
13213
132
213
13
2
213
13
13
13
2213
13
vRRRRR
RRv
RRR
RR
v
RRR
RR
RR
RR
vRRR
RR
![Page 39: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/39.jpg)
INPUT VOLTAGE THREE EQUIVALENT
3
21321
213
321
21
3
321
21
21
21
3321
21
vRRRRR
RRv
RRR
RR
v
RRRRR
RRRR
vRRR
RR
![Page 40: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/40.jpg)
OUTPUT VOLTAGE RELATIONSHIP
oAF
A
oAF
A
vRR
R
vRRRRR
RRv
RRRRR
RRv
RRRRR
RR
vRR
Rv
RRR
RRv
RRR
RRv
RRR
RR
321321
212
13213
131
32132
32
3321
212
213
131
132
32
![Page 41: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/41.jpg)
FINAL OUTPUT VOLTAGE EQUATION
321213132133221
21321
321
13213
213
32132
1321
vRRvRRvRRRRRRRRR
RRv
RRRRR
vRR
RRRRR
vRR
RRRRR
vRR
R
Rv
A
AFo
A
Fo
![Page 42: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/42.jpg)
DIFFERENCE AMPLIFIER
R3
v1
v2
R1
+
-
R2
vo
R4
![Page 43: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/43.jpg)
VOLTAGE EQUATIONS
121
2
21
1
243
4
vRR
Rv
RR
Rv
vRR
Rv
o
![Page 44: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/44.jpg)
EQUATING INPUT VOLTAGES
121
22
43
4
1
21
121
2
21
12
43
4
vRR
Rv
RR
R
R
RRv
vRR
Rv
RR
Rv
RR
R
vv
o
o
![Page 45: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/45.jpg)
DESIGN CONSIDERATIONS
121
2
4231
121
22
43
4
1
21
vvR
Rv
RRandRRIf
vRR
Rv
RR
R
R
RRv
o
o
![Page 46: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/46.jpg)
VOLTAGE INTEGRATOR
+
-vi
R1
R2
vO
C
![Page 47: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/47.jpg)
INTEGRATOR EQUATIONS
io
oi
oi
ooI
i
vCsR
v
sCvR
vii
sCviR
vi
1
1
1
1
![Page 48: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/48.jpg)
PRACTICAL VOLTAGE INTEGRATOR
+
-vI
R1
R2
vO
R3
C
![Page 49: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/49.jpg)
PRACTICAL INTEGRATOR EQUATIONS
io
oi
oi
PP
oo
ii
vCsRR
Rv
vR
CsR
R
vii
CsR
RZ
Z
vi
R
vi
31
3
3
3
1
3
3
1
1
1
1
1
![Page 50: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/50.jpg)
VOLTAGE DIFFERENTIATOR
+
-vI
C
R2
vO
R1
![Page 51: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/51.jpg)
DIFFERENTIATIOR EQUATIONS
io
oioi
ooii
vCsRv
R
vsCvii
R
visCvi
1
1
1
![Page 52: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/52.jpg)
PRACTICAL VOLTAGE DIFFERENTIATOR
+
-vi
CR1
R2
vO
R3
![Page 53: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/53.jpg)
PRACTICAL DIFFERENTIATOR EQUATIONS
io
oioi
ooS
S
ii
vCsR
CsRv
R
v
CsR
sCvii
R
vi
sCRZ
Z
vi
1
3
31
31
1
1
1
![Page 54: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/54.jpg)
INSTRUMENTATION AMPLIFIER
R2
+
-
vo
+
-
R4
R4
i1
R3
+
-
R1
vo2R3R2
vo1
vi2
vi1
![Page 55: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/55.jpg)
VOLTAGE AND CURENT RELATIONSHIPS
12202
12101
1
211
iRvv
iRvv
R
vvi
i
i
ii
![Page 56: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/56.jpg)
VOLTAGE SUBSTITUTIONS
11
22
1
202
1
212202
21
21
1
201
1
212101
1
1
iiii
i
iiii
i
vR
Rv
R
Rv
R
vvRvv
vR
Rv
R
Rv
R
vvRvv
![Page 57: ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS.](https://reader036.fdocuments.us/reader036/viewer/2022062406/56649dc05503460f94ab4bd4/html5/thumbnails/57.jpg)
OUTPUT VOLTAGE CALCULATION
121
2
3
40
01023
40
21 ii vv
R
R
R
Rv
vvR
Rv