6.002 CIRCUITS ANDELECTRONICS Dependent Sources and Amplifiers... Another dependent source example... Another dependent source example... An amplifier is a 3-ported device, actuallyWe of
Trang 16.002 CIRCUITS AND
ELECTRONICS
Dependent Sources
and Amplifiers
Trang 2 Nonlinear circuits — can use the
Trang 32-terminal 1-port devices
I i
I v
f I
Trang 4Dependent Sources: Examples
V R
R I
V = 0
Trang 5+–
V R
I i
I v
V R
Dependent Sources: Examples
Trang 6K IR
=
oror
Example 2: Find V
( )
V
K V
f
+–
V R
e.g K = 10 -3 Amp·Volt
R = 1kΩ
Dependent Sources: Examples
Trang 7Another dependent source example
Trang 8Another dependent source example
Trang 9Another dependent source example
Find v O as a function of v I
I
v +–
I v
Trang 10Another dependent source example
0
=+
+
−V S i D R L v O
KVL
L D S
Trang 11Next, Amplifiers
Trang 14Try amplification
not bad!
noise
Trang 16OL OH
V V
V
V
−
−
Trang 17An amplifier is a 3-ported device, actually
We often don’t show the power port
Also, for convenience we commonly observe
“the common ground discipline.”
In other words, all ports often share a
common reference point called “ground.”
I v
Trang 180
=+
+
−V S i D R L v O
KVL
L D S
Trang 19So, where’s the amplification?
Let’s look at the v O versus v I curve
K ,
V 10
Trang 20~ 0.002.4
1.502.3
2.802.2
4.002.1
5.002.0
8.751.5
10.000.0
Trang 21So is mathematically predicted behavior
Trang 22One nit …
D i
Trang 23If VCCS is a device that can source
power, then the mathematically
predicted behavior will be observed —
i.e
where v O goes -ve
I v O
v
Trang 24If VCCS is a passive device,
then it cannot source power,
so v O cannot go -ve.
So, something must give!
Turns out, our model breaks down
Commonly
will no longer be valid when v O ≤ 0
e.g i D saturates (stops increasing)
and we observe:
I v
O
v
1