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Review For Test 2: Sample Problems

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Review for Test 2

Sample problems
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• Additional office hour
• Tuesday 12-1 pm.
Example 1
25 kΩ 20 kΩ

3V
+ Vt = 0.6 V
-
kn′ µ=
= C
n ox 200 µ A V 2

Q1 Q2 W L=5

iD1 and iD2 ?

W 1 2  (Triode Region )
iD kn′ ( vGS − Vt ) vDS − vDS 
=
L 2  vGS ≥ Vt vDS ≤ ( vGS − Vt )
1 W ( Saturation Region )
kn′ ( vGS − Vt )
2
=iD
2 L vGS ≥ Vt vDS ≥ ( vGS − Vt )
3
Example 2
Rf
• Design a Miller integrator whose
input resistance is 20 kΩ and
unity-gain frequency is 10 kHz. A
C feedback resistor is across the
+VCC
R capacitor, limiting the dc gain to
-
vo 40 dB.
+
• What are the values of
+ -VCC the resistive and
vs
- capacitive components
used.
• Find 3-dB frequency.
Review: Freq. Response of Miller
Integrator
Rf
R
− f
V0 R
H ( jw) = =
C Vs 1 + jw
R +VCC 1
- CR f
vo
+

+ -VCC
vs
-

1
w3− dB =
CR f
1
w0− dB =
CR
Unity-gain freq w0-dB 5
Example 3
• Sketch both magnitude and phase Bode plots
for the following transfer function. Find the
cut-off frequency, and the unity-gain
frequency
Example 4
• A measurement for an op amp indicates an
open loop gain of 103 V/V at very low
frequencies, and an open-loop gain of 40 dB
at 100 kHz.
– Estimate its 3-dB frequency, its gain-bandwidth
product, and its expected gain at 1 kHz.
– Draw Bode plot for magnitude response of the op
amp.
Review: Frequency Response of Op-Amp
The open-loop gain may be expressed as
GB: Gain-bandwidth Ao
product A(s) =
1 + s ωb
Ao is the open-loop dc gain or low freq. gain.
wt=Aowb wb is the 3-dB freq, or corner freq, or pole freq

ft=Aofb

|A(jf)|=ft/f

(f >> fb)

Unit-gain 8
bandwidth/frequency
Example 5
• Input voltage vIN = 5 + 0.2 sin (1000t)
volts, Rs = 500 Ω, R = 1 k Ω. The
circuit is used to drive a load resistor
RL = 5 k Ω. Calculate the output
voltage vO. Assume the diodes D1
and D2 have a 0.7-V drop when they
are fully conducting, and n = 2.
Example 6
Exa
mpl
e1
Exa
mpl
e2
Example 3

 
Example 4

 
Exa
mpl
e5
Exa
mpl
e6

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