Operational Amplifiers - Pre Lab 7 Notes | ECE 3254, Lab Reports of Electrical and Electronics Engineering

Material Type: Lab; Class: Industrial Electronics; Subject: Electrical & Computer Engineer; University: Virginia Polytechnic Institute And State University; Term: Unknown 1989;

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ECE 3254 PreLab 7 notes
Edited 9-24-07
Op Amps
R
out
AV
i
+
-
A
B
V
0
R
in
V
i
V
i
+
-
V
+
V
-
V
0
Op Amp Block Diagram and Equivalent Circuit
An ideal op amp has infinite gain (A = ∞), infinite input impedance (Rin = ∞), and zero Ω output
impedance (Rout = 0).
Infinite gain means that the two input pins must have the same voltage - if there was any voltage
difference, infinite gain would peg the output against the power supply rail. A negative feedback
amplifier configuration uses the feedback network to set the amplifier circuit gain.
Infinite input impedance means that the input current to the signal pins is zero because if
Rin = ∞, then Iin = Vin/∞ = 0.
When the Op Amp is not ideal, the two input pins may not have exactly the same voltage, and
there may be some current flowing into or out of the input pins. For most of our measurements,
this will not be noticeable.
Non-ideal characteristics may load the circuit, introduce noise, and reduce Rin and Gain.
Inverting Amplifier
The Op Amp ideal characteristics mean that
IR3 = 0 and Vpin 2 = Vpin 3.
These conditions mean that Vpin 3 = VR2 = 0, so
Vpin 2 = 0.
If Vpin2 = 0, Ii = Vg / R1
Then VR1 = Vg and
Ri (seen by the source) = Vg / Ii = R1
With the input current into pin 2 = 0, IR2 = Ii and
VR2 = Ii * R2.
Now what is that output voltage and circuit gain?
Because the Op Amp is an active circuit with feedback, the output current at pin 6 will be whatever is
necessary to produce the correct output voltage. Do not attempt to write a loop or node equation that
includes pin 6 and RL. If you look at the voltage across R2, you see that Vo = -VR2 because the pin 2 end
Prelab 7 Notes Page 1 of 2
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ECE 3254 PreLab 7 notes

Edited 9-24-

Op Amps

Rout AVi

  • A B R^ V 0 Vi Vi in

V+ V- V 0 Op Amp Block Diagram and Equivalent Circuit An ideal op amp has infinite gain (A = ∞), infinite input impedance (Rin = ∞), and zero Ω output impedance (Rout = 0).

  • Infinite gain means that the two input pins must have the same voltage - if there was any voltage difference, infinite gain would peg the output against the power supply rail. A negative feedback amplifier configuration uses the feedback network to set the amplifier circuit gain.
  • Infinite input impedance means that the input current to the signal pins is zero because if Rin = ∞, then Iin = Vin/∞ = 0.
  • When the Op Amp is not ideal, the two input pins may not have exactly the same voltage, and there may be some current flowing into or out of the input pins. For most of our measurements, this will not be noticeable.
  • Non-ideal characteristics may load the circuit, introduce noise, and reduce Rin and Gain. Inverting Amplifier The Op Amp ideal characteristics mean that IR3 = 0 and Vpin 2 = Vpin 3. These conditions mean that Vpin 3 = VR2 = 0, so Vpin 2 = 0. If Vpin2 = 0, Ii = Vg / R 1 Then VR1 = Vg and Ri (seen by the source) = Vg / Ii = R 1 With the input current into pin 2 = 0, IR2 = Ii and VR2 = Ii * R 2. Now what is that output voltage and circuit gain? Because the Op Amp is an active circuit with feedback, the output current at pin 6 will be whatever is necessary to produce the correct output voltage. Do not attempt to write a loop or node equation that includes pin 6 and RL. If you look at the voltage across R 2 , you see that Vo = -VR2 because the pin 2 end Prelab 7 Notes Page 1 of 2

of R 2 is at 0V. Inverting Gain = Vo /Vi = -VR2 / VR1 and a little math will find the equation in terms of component values. Non-Inverting Amplifier The Op Amp ideal characteristics mean that Ipin 3 = 0 and V (^) pin 2 = V (^) pin 3. These conditions mean that Vpin 3 = Vg (there is no current through R3, so there is no voltage drop across R3), and Vpin 2 = Vg. If VR1 = Vpin2 = Vg, IR1 = Vg / R 1 , and IR2 = IR because Ipin 2 = 0. Now what is that output voltage and circuit gain? Again, the Op Amp is an active circuit and the output current at pin 6 will be whatever is necessary to produce the correct output voltage. Do not attempt to write a loop or node equation that includes pin 6 and RL. If you look at the voltage across R 2 , you see that Vout = VR2 + Vpin2 and the non-inverting gain = Vout/Vg = (VR2 + Vpin2) / Vg. From here, it is relatively easy to obtain the gain in terms of component values. Inverting Summer Amplifier Several input signals can be combined into an inverting amplifier by connecting each source through a separate resistor to the Op Amp input. The output will be the inverted sum of all inputs. Vpin2 = Vpin3 = 0 IAi = VA / RA, IBi = VB / RB, and ICi = VC / RC IR2 = IAi + IBi + ICi VR2 = (IAi + IBi + ICi) * R 2. = (VA R 2 / RA) + (VB R 2 / RB) + (VC R 2 / RC) Note how the gain for each input can be different by using different values for RA, RB, and RC. While the input voltages to a summer may add to a large value, the output of the amplifier circuit can never be greater than the power supply (rail) voltage, and the 741 Op Amp does not have the ability to push the output voltage all of the way to the supply rails. So, while you might expect to see voltages sum to more than 12V, in reality the output will not be able to reach ±12V. FWIW: The 741 was the first internally compensated Op Amp. Before the 741, Op Amps were very tricky to use because they would oscillate if everything in the circuit design and layout was not perfect - bread boarding Op Amp circuits was very difficult. For more about Op Amp history, development, and use: just google lm741, and you will have more information that you can imagine. Prelab 7 Notes Page 2 of 2