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Material Type: Lab; Class: Industrial Electronics; Subject: Electrical & Computer Engineer; University: Virginia Polytechnic Institute And State University; Term: Unknown 1989;
Typology: Lab Reports
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Edited 9-24-
Rout AVi
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).
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