Electronics Handbook/Circuits/Operational Amplifier Configurations
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Linear Configurations
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Type
Configuration
V
o
V
i
{\displaystyle {\frac {V_{o}}{V_{i}}}}
Inverting amplifier
V
o
u
t
=
−
V
i
n
(
R
f
R
1
)
{\displaystyle V_{\mathrm {out} }=-V_{\mathrm {in} }\left({R_{f} \over R_{1}}\right)}
Non-inverting amplifier
V
o
u
t
=
V
i
n
(
1
+
R
2
R
1
)
{\displaystyle V_{\mathrm {out} }=V_{\mathrm {in} }\left(1+{R_{2} \over R_{1}}\right)}
Voltage follower
V
o
u
t
=
V
i
n
{\displaystyle V_{\mathrm {out} }=V_{\mathrm {in} }\!\ }
Summing amplifier
V
o
u
t
=
−
R
f
(
V
1
R
1
+
V
2
R
2
+
⋯
+
V
n
R
n
)
{\displaystyle V_{\mathrm {out} }=-R_{\mathrm {f} }\left({V_{1} \over R_{1}}+{V_{2} \over R_{2}}+\cdots +{V_{n} \over R_{n}}\right)}
Integrating amplifier
V
o
u
t
=
∫
0
t
−
V
i
n
R
C
d
t
+
V
i
n
i
t
i
a
l
{\displaystyle V_{\mathrm {out} }=\int _{0}^{t}-{V_{\mathrm {in} } \over RC}\,dt+V_{\mathrm {initial} }}
Differentiating amplifier
V
o
u
t
=
−
R
C
(
d
V
i
n
d
t
)
{\displaystyle V_{\mathrm {out} }=-RC\left({dV_{\mathrm {in} } \over dt}\right)}
Schmitt trigger
Hysteresis from
−
R
1
R
2
V
s
a
t
{\displaystyle {\frac {-R_{1}}{R_{2}}}V_{sat}}
to
R
1
R
2
V
s
a
t
{\displaystyle {\frac {R_{1}}{R_{2}}}V_{sat}}
Inductance gyrator
L = R
L
RC
Negative impedance converter
R
i
n
=
−
R
3
R
1
R
2
{\displaystyle R_{\mathrm {in} }=-R_{3}{\frac {R_{1}}{R_{2}}}}
Logarithmic configuration
v
o
u
t
=
−
V
γ
ln
(
v
i
n
I
S
⋅
R
)
{\displaystyle v_{\mathrm {out} }=-V_{\gamma }\ln \left({\frac {v_{\mathrm {in} }}{I_{\mathrm {S} }\cdot R}}\right)}
Exponential configuration
v
o
u
t
=
−
R
I
S
e
v
i
n
V
γ
{\displaystyle v_{\mathrm {out} }=-RI_{\mathrm {S} }e^{v_{\mathrm {in} } \over V_{\gamma }}}
Non-linear Configurations
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Further reading
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Electronics/Electronics Formulas/Op Amp Configurations
Electronics/Electronics Op Amp Configurations
Electronics/Op-Amps/Linear Configurations
Electronics/Op-Amps/Non Linear Configurations
Practical Electronics/Operating amplifiers
"What is Schmitt trigger?"
Category
:
Book:Electronics Handbook
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