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1231 Figure P1231 shows a simple current-to-voltage
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Figure P1231
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1232 In some signal-processing applications, a
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clamping circuit is used to hold the output at a certain level even when the input continues to increase One such circuit is shown in Figure P1232 Assume the Zener diodes and op-amp are ideal Determine the relationship between vo and vi and sketch it
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iP + vy _
+ vM
R1 vi
_ + vo
Figure P1228
Figure P1232
1229 In the circuit shown in Figure P1221:
vS1 = 13 mV R1 = 1 k R3 = 80 k vS2 = 19 mV R2 = 13 k R4 = 68 k
1233 The circuit of Figure P1233 serves as a voltage
regulator whose output can be varied Assume an ideal op-amp and that the Zener diode will hold its terminal voltage provided iZ 01IZ a Find an expression for vo in terms of VZ b If RS , R1 , VZ , and IZ are known, specify the range of VS over which the circuit could regulate
VS R2
Determine the output voltage 1230 Figure P1230 shows a simple voltage-to-current converter Show that the current Iout through the light-emitting diode, and therefore its brightness, is proportional to the source voltage Vs as long as Vs > 0
+ _ R2 Vout
RS R1 + VZ _ _
vo +
Figure P1230
Figure P1233
12
Operational Ampli ers
1234 An op-amp voltmeter circuit as in Figure P1234
R2 C R1 _ + + Vo _
is required to measure a maximum input of E = 20 mV The op-amp input current is IB = 02 A, and the meter circuit has Im = 100 A full-scale de ection and rm = 10 k Determine suitable values for R3 and R4
IR E _ + R4 A Im
+ V s
Figure P1236
1237 The op-amp circuit shown in Figure P1236 is
used as a lter C = 82 pF R1 = 10 k RL = 16 R2 = 130 k
rm R3
Figure P1234
Determine: a If the circuit is a low- or high-pass lter b The gain, Vo /Vs , in dB in the pass-band, ie, at the frequencies beign passed by the lter c The cutoff frequency
1238 The circuit shown in Figure 1238 is an active Section 3: Filters, Integrators, and Differentiators 1235 The circuit shown in Figure P1235 is an active
lter with: C = 1 F R = 10 k RL = 1 k lter with: R1 = 5 k R2 = 68 k C = 8 pF RL = 22 k
Determine the cutoff frequencies and the magnitude of the voltage transfer function at very low and at very high frequencies
R1 +
+ V ( jv) ~ i
Determine: a The gain (in dB) in the pass band b The cutoff frequency c If this is a low- or high-pass lter
+ RL _ R2
Vo ( jv)
R C + Vs _ _ + + Vo _
C R1
Figure P1238
1239 The circuit shown in Figure 1239 is an active
Figure P1235
lter with: R1 = 1 k R3 = 80 k R2 = 5 k C = 5 nF
1236 The op-amp circuit shown in Figure P1236 is
used as a lter C = 082 F R1 = 91 k RL = 16 R2 = 75 k
Determine: a If the circuit is a low- or high-pass lter b The gain, Vo /Vs , in dB in the pass-band, ie, at the frequencies being passed by the lter c The cutoff frequency
Determine: a An expression for the voltage transfer function in the standard form: Vo (j ) Hv (j ) = Vi (j ) b The cutoff frequencies c The pass-band gain d The Bode plot
Part II
Electronics
+ R1
+ V ( jv) i
+ RL _ R3
Vo ( jv)
a b c d e
The pass-band gain The resonant frequency The cutoff frequencies The circuit Q The Bode plot
R2 R1 C1 _ + RL C2 + V ( jv) _o
Vi ( jv)Vo ( jv)
Figure P1239
1240 The op-amp circuit shown in Figure P1240 is
used as a lter R1 = 91 k C = 082 F R2 = 75 k RL = 16
+ V ( jv) i
Figure P1242
Determine: a If the circuit is a low- or high-pass lter b An expression in standard form for the voltage transfer function c The gain in dB in the pass-band, ie, at the frequencies being passed by the lter, and the cutoff frequency
R2 C _
1243 The op-amp circuit shown in Figure P1243 is a
low-pass lter with: R1 = 220 C = 047 nF R2 = 68 k RL = 16
Determine: a An expression in standard form for the voltage transfer function b The gain in dB in the pass-band, ie, at the frequencies being passed by the lter, and the cutoff frequency
+ V s
+ RL
+ Vo R1
+ V s
C + V _o
Figure P1240
1241 The op-amp circuit shown in Figure P1240 is a
low-pass lter with: R1 = 220 C = 047 nF R2 = 68 k RL = 16
Figure P1243
1244 The circuit shown in Figure P1244 is a
band-pass lter If: R1 = 220 C1 = 22 F R2 = 10 k C2 = 1 nF
Determine: a An expression in standard form for the voltage transfer function b The gain in dB in the pass-band, ie, at the frequencies being passed by the lter, and the cutoff frequency
determine the pass-band gain
R2 R1 C1 _ + RL C2 + Vo ( jv) _
1242 The circuit shown in Figure 1242 is a band-pass
lter If R 1 = R2 = 1 k C1 = C2 = 1 F determine:
+ V ( jv) i
Figure P1244
12
Operational Ampli ers
1245 Compute the frequency response of the circuit
shown in Figure P1245
1249 Use the impedance concept to solve for the
1/4 F 1/4 F vin 2 2
2 _ + vout
input impedance ZS = VS /IS of the circuit shown in Figure P1249 Show that this input impedance has the equivalent form of an inductor ZL = j L Find the simulated inductance in terms of R1 , R2 , R3 , R4 , and C
R2 + + Is _ R4 V1 R1 IC R3 C _
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