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R1 = 1 k RL = 16 ro = 25
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1214 An inverting ampli er uses two 10 percent
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tolerance resistors: RF = 33 k , and RS = 12 k a What is the nominal gain of the ampli er b What is the maximum value of |AV | c What is the minimum value of |AV |
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Motorola MC1741C op amp:
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1215 The circuit of Figure P1215 will remove the DC
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portion of the input voltage, v1 (t), while amplifying the AC portion Let v1 (t) = 10 + 10 3 sin t V, RF = 10 k , and Vbatt = 20 V a Find RS such that no DC voltage appears at the output b What is vout (t), using RS from part a
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RF RS Vbatt
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In a rst-approximation analysis, the op-amp parameters given above would be neglected and the op-amp modeled as an ideal device In this problem, include their effects on the input resistance of the ampli er circuit a Derive an expression for the input resistance vi / ii including the effects of the op-amp b Determine the value of the input resistance including the effects of the op-amp c Determine the value of the input resistance assuming the op amp is ideal
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_ + vout (t)
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ri _ R1 Rs + + vo _ RL ro
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v1(t)
+ vs
Figure P1215 Figure P1218
1216 Figure P1216 shows a simple practical ampli er
that uses the 741 op-amp Pin numbers are as indicated Assume the input resistance is R = 2 M , the open-loop gain K = 200,000 and output resistance Ro = 75 Find the gain AV = vo /vi approximately
+15 V 1 k 5 + 4 vi
1219 In the circuit shown in Figure P1219, if:
R2 = 18 k R1 = 50 k RF = 220 k vs = 10 2 + 7 10 6 cos ( t) V determine: a An expression for the output voltage b The value of the output voltage
+ R1
+ vs
11 10 6 15 V 10 k vo
_ + vo _ RL
100 k 1 k
RF R2
Figure P1216
Figure P1219
12
Operational Ampli ers
1220 If, in the circuit shown in Figure P1220:
vS = 17 10 3 + 3 10 3 cos( t) Rs = 50 RL = 200 determine the output voltage
+ vS 1
+ _ RF R2
+ vS 2
+ vo _
+ Rs
+ vs
_ + vo _
Figure P1223
1224 In the circuit shown in Figure P1221, the two
voltage sources are temperature sensors with a response: vS1 = kT1 vS2 = kT2
Figure P1220
where: k = 23 mV/ C R1 = 11 k R3 = 33 k R2 = 21 k R4 = 56 k
1221 In the circuit shown in Figure P1221:
vS1 = 29 10 3 cos( t)V vS2 = 31 10 3 cos( t)V R1 = 1 k R2 = 3 k R3 = 13 k R4 = 11 k Determine the output voltage
R3 R1
+ v S1
T1 = 35 C and T2 = 100 C, determine: a The output voltage b The conditions required for the output voltage to depend oly on the difference between the two temperatures
1225 In a differential ampli er, if:
Av1 = 20
+ v _o
_ R2 + R4
Av2 = +22
derive expressions for and then determine the value of the common- and differential-mode gains
+ vS 2
1226 If, in the circuit shown in Figure P1221:
vS1 = 13V vS2 = 19 V R 1 = R2 = 5 k R3 = R4 = 10 k RL = 18 k Determine: a The output voltage b The common-mode component of the output voltage c The differential-mode component of the output voltage
Figure P1221
1222 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
Determine the output voltage
1223 In the circuit shown in Figure P1223, if:
vS1 = vS2 = 7 mV RF = 22 k R1 = 850 R2 = 15 k and the MC1741C op-amp has the following parameters: ri = 2 M ro = 25 = 200,000
1227 The two voltage sources shown in Figure P1221
are pressure sensors where, for each source and with P = pressure in kPa: vS1,2 = A + BP1,2 A = 03 V B = 07 R1 = R2 = 5 k R3 = R4 = 10 k RL = 18 k
V psi
Determine the: a Output voltage b Voltage gain for the two input signals
If P1 = 6 kPa and P2 = 5 kPa, determine, using superposition, that part of the output voltage which is due to the: a Common mode input voltage b Difference mode input voltage
Part II
Electronics
1228 A linear potentiometer (variable resistor) Rp is
used to sense and give a signal voltage vy proportional to the current y position of an x-y plotter A reference signal vR is supplied by the software controlling the plotter The difference between these voltages must be ampli ed and supplied to a motor The motor turns and changes the position of the pen and the position of the pot until the signal voltage is equal to the reference voltage (indicating the pen is in the desired position) and the motor voltage = 0 For proper operation the motor voltage must be 10 times the difference between the signal and reference voltage For rotation in the proper direction, the motor voltage must be negative with respect to the signal voltage for the polarities shown An additional requirement is that iP = 0 to avoid loading the pot and causing an erroneous signal voltage a Design an op-amp circuit which will achieve the speci cations given Redraw the circuit shown in Figure P1228, replacing the box (drawn with dotted lines) with your circuit Be sure to show how the signal voltage and output voltage are connected in your circuit b Determine the value of each component in your circuit The op-amp is a 741
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