Problem 3. Op amp Cascaded Stages. (33.3 p). Two-tank fuel system is installed and the amount of fuel in every tank is monitored by measuring the tank's pressure (in psia). The technical details for each tank capacity, as well as sensor pressure and voltage range are shown in Table 3. Design a circuit that provides a positive DC voltage signal proportional to the amount of fuel accumulated, such that the final output Vout =3V is 100 percent. |Table 3. Two-Tank Pressure Monitoring System, technical details. 10000 psia 2000 psia 0 to 12500 psia 0 to 5V DC Tank 1 Capacity Tank 2 Capacity Sensor Pressure Range Sensor Voltage Output a) Considering only the sensors, what are the output sensors' voltage values vl and v2 when these tanks are full capacity? Calculate v1 and v2 maximum values. The circuit shown in Figure I employs an Op amp cascade with vl and v2, representing sensor outputs. R2 R Vx Figure 1. b) Use the Kirchhoff Current Law (KCL) to obtain the equation of the circuit outputs Vx and Vout. What is the main function of each of the amplifiers? c) If R1=R2=R3=R, select R and calculate resistance values Rx and Rf, such that the final output Vout =3V equivalent to 100 percent of the total system capacity, Write the selected resistance values R1, R2, R3, Rx and Rf.

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Problem 3. Op amp Cascaded Stages. (33.3 p). Two-tank fuel system is installed and the amount of fuel
in every tank is monitored by measuring the tank's pressure (in psia). The technical details for each tank
capacity, as well as sensor pressure and voltage range are shown in Table 3.
Design a circuit that provides a positive DC voltage signal proportional to the amount of fuel accumulated,
such that the final output Vout =3V is 100 percent.
Tank 1 Capacity
Tank 2 Capacity
Sensor Pressure Range
Table 3. Two-Tank Pressure Monitoring System, technical details.
10000 psia
2000 psia
O to 12500 psia
0 to 5V DC
Sensor Voltage Output
a) Considering only the sensors, what are the output sensors' voltage values vl and v2 when these
tanks are full capacity? Calculate v1 and v2 maximum values.
The circuit shown in Figure 1 employs an Op amp cascade with v1 and v2, representing sensor outputs.
R2
Vx
Figure 1.
b) Use the Kirchhoff Current Law (KCL) to obtain the equation of the circuit outputs Vx and Vout.
What is the main function of each of the amplifiers?
c) If RI=R2=R3=R, select R and calculate resistance values Rx and Rf, such that the final output
Vout =3V equivalent to 100 percent of the total system capacity, Write the selected resistance
values R1, R2, R3, Rx and Rf.
Transcribed Image Text:Problem 3. Op amp Cascaded Stages. (33.3 p). Two-tank fuel system is installed and the amount of fuel in every tank is monitored by measuring the tank's pressure (in psia). The technical details for each tank capacity, as well as sensor pressure and voltage range are shown in Table 3. Design a circuit that provides a positive DC voltage signal proportional to the amount of fuel accumulated, such that the final output Vout =3V is 100 percent. Tank 1 Capacity Tank 2 Capacity Sensor Pressure Range Table 3. Two-Tank Pressure Monitoring System, technical details. 10000 psia 2000 psia O to 12500 psia 0 to 5V DC Sensor Voltage Output a) Considering only the sensors, what are the output sensors' voltage values vl and v2 when these tanks are full capacity? Calculate v1 and v2 maximum values. The circuit shown in Figure 1 employs an Op amp cascade with v1 and v2, representing sensor outputs. R2 Vx Figure 1. b) Use the Kirchhoff Current Law (KCL) to obtain the equation of the circuit outputs Vx and Vout. What is the main function of each of the amplifiers? c) If RI=R2=R3=R, select R and calculate resistance values Rx and Rf, such that the final output Vout =3V equivalent to 100 percent of the total system capacity, Write the selected resistance values R1, R2, R3, Rx and Rf.
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