The Operational Amplifier: Basic Concepts and Subcircuits. Analysis of Circuits with Op Amps.[r]
(1)Electric Circuit Theory
(2)Contents
I.
Basic Elements Of Electrical Circuits
II.
Basic Laws
III Electrical Circuit Analysis
IV Circuit Theorems
V.
Active Circuits
VI Capacitor And Inductor
VII First Order Circuits
VIII.Second Order Circuits
IX Sinusoidal Steady State Analysis
X AC Power Analysis
XI Three-phase Circuits
(3)Active Circuits
1 Dependent Sources
2 Analysis of Circuits with Dependent Sources
3 The Operational Amplifier: Basic Concepts and
Subcircuits
(4)Dependent Voltage Source
+ –
+
v
–
i
v
c
(5)Dependent Current Source
Voltage-controlled current source (VCCS): i
c
= g
m
v
x
Current-controlled current source (CCCS): i
c
=
β
i
x
+
v
–
(6)Active Circuits
1 Dependent Sources
2 Analysis of Circuits with Dependent Sources
a.
Branch Current Method
b Node Voltage Method
c.
Mesh Current Method
d Equivalent Subcircuits
(7)Branch Current Method (1)
4
0
x
c
i
+ − + =
i
i
4
i
x
− =
6
i
12
2
4
0
4
6
12
x
x
x
i
i
i
i
i
+ −
+ =
→
− =
0.5
0.5 4
2
c
x
x
x
i
=
v
=
×
i
=
i
Ex 1
4
Ω
i
a
b
v
x
+
–
+
–
6
Ω
4A
0.5v
x
12V
i
x
i
c
4
4
6
12
(8)Branch Current Method (2)
2
3
:
c
0
b i
− − =
i
i
1
:
0
c i
+ − =
i
J
1 3 2
:
0
A R i
−
R i
+
R i
− =
E
1
0
i
i
i
β
− − =
→
+ − =
1
c
i
=
β
i
R
1
R
2
R
3
J
β
i
1
i
1
i
2
i
3
a
b
c
E
i
c
+ –
(9)Node Voltage Method (1)
1
1
12
4
4
6
v
a4
i
c
+
= +
−
1
1
12
4
0.5(12
)
4
6
v
a4
v
a
→
+
= +
−
−
0.5
0.5(12
)
c
x
a
i
=
v
=
−
v
Ex 1
12 V
a
v
→
= −
12
12
( 12)
6 A
4
4
12
2 A
6
6
a
x
a
v
i
v
i
−
− −
=
=
=
→
−
= −
= −
=
4
Ω
i
a
b
v
x
+
–
+
–
6
Ω
4A
0.5v
x
12V
i
x
(10)Node Voltage Method (2)
1 2
2
1
1
1
1
1
1
a b c
a b c
E
v
v
J
i
R
R
R
R
E
v
v
i
R
R
R
R
+
−
= − +
−
+
+
= −
1 a cv
i
i
R
β
β
=
=
1
1
1
1
a b