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 vc
(5)Dependent Current Source
Voltage-controlled current source (VCCS): ic = gmvx
Current-controlled current source (CCCS): ic = βix
+ 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
4ix − =6i 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 4Ω i a b vx + – +
– 6Ω
4A 0.5vx
12V
ix
ic
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 = βi R1
R2
R3 J
βi1
i1
i2
i3
a b
c
E
ic
+ –
(9)Node Voltage Method (1)
1 1 12
4
4 6 va 4 ic
+ = + −
1 1 12
4 0.5(12 ) 4 6 va 4 va
→ + = + − −
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 − − − = = = → − = − = − = 4Ω i a b vx + – +
– 6Ω
4A 0.5vx
12V
ix
(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 c v i i R β β = =
1 1 1 1
a b
E
v v J
R R β R R R
+ + − = + R1 R2 R3 J
βi1