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262 ANALOG BUILDING BLOCKS AND OPERATIONAL AMPLIFIERS

*5.2.9Consider the noninverting amplifier of Example
5.2.2. LetRi=1kandRf=2k. Let the op
amp be ideal, except that its output cannot exceed
±12 V at a current of±10 mA.
(a) Find the minimum load resistor that can be
added between terminal 3 and ground.
(b) Determine the largest allowable magnitude
forviwhen using the minimum load resis-
tance.
5.2.10An op amp has an open-loop frequency response
as shown in Figure 5.2.4.
(a) Find the approximate bandwidth of the circuit
using this op amp:
(i) With a closed-loop voltage gain of 100;
(ii) With a voltage gain of 1000.
(b) Determine the gain–bandwidth product for
this op amp.
5.2.11Consider the generalized circuit shown in Fig-
ure P5.2.11, which contains two elements with
impedancesZ ̄ 1 andZ ̄F. Using the phasor tech-
niques to study the response of op-amp circuits to


sinusoidal signals, obtain a general expression for
A ̄′=V ̄o/V ̄iin terms of the op-amp parameters
A, R ̄ i, andRoand the impedancesZ ̄ 1 andZ ̄F.In
the limit, asRi→∞,Ro→0, andA→∞,
what is the effect on the result? Considering the
high-frequency response, without the assumption
ofA→∞, find an expression forA ̄′.
5.3.1Figure P5.3.1 gives the frequency-response graphs
for a 709 op amp. Choose compensating compo-
nents for the circuit (see Figure 5.3.8) to have a
gain of 100 and a frequency response of up to 100
kHz.
5.3.2Find the maximum amplitude of an output voltage
sine wave that an op amp with a slew rate of 0.5
V/μs can deliver atf=100 kHz.
*5.3.3An op amp has a slew rate of 0.7 V/μs. Find the
maximum amplitude of an undistorted output sine
wave that the op amp can produce at a frequency of
50 kHZ. Also determine the maximum frequency
of undistorted output that the op amp will produce
at an amplitude of 3 V.


+
+
Vo

+
− −


Vi

ZF
Z 1



− Figure P5.2.11

80

60

40

20

0

− 20
100 1 k 10 k
Frequency, Hz

Closed-loop voltage gain, dB

100 k 1 M 10 M

C 1 = 5000 pF, R 1 = 1.5 kΩ, C 2 = 200 pF

C 1 = 500 pF, R 1 = 1.5 kΩ, C 2 = 20 pF

C 1 = 100 pF, R 1 = 1.5 kΩ, C 2 = 3 pF

C 1 = 10 pF, R 1 = 0, C 2 = 3 pF

VS = ±15 V
TA = 25 ° C

Figure P5.3.1Frequency response
for various parameters (709).Source:
Fairchild.
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