6.070 Spring 2019 Op Amps – Reading Dr. James W. Bales Op Amps: An op-amp is a 5-terminal device. Two terminals are inputs (the inverting input, IN+ and the non-inverting input, IN-), One terminal is an output (VOUT), and two are the power connections (VCC+ and VCC-). Figure 1. Two symbols for the op-amp. At times, the power connections (V+ and V–) are omitted from the schematic, but a real op-amp still needs to be connected to power to work! Sometimes we power the op-amp off of symmetric positive and negative power supplies (e.g., +/- 12 V), other times we use a positive voltage and ground (e.g., +5 V and GND). Golden Rules: Our model of an op-amp is that it follows the two golden rules. 1) The Op-Amp Inputs draw no current. 2) With Negative Feedback, the output will change to make the inputs be at the same voltage (i.e., makes +IN = –IN). (Negative feedback means that there is a path for current to flow between output and the inverting input (–IN). Here is the circuit you built during the second lab (note that I labeled the voltage at –IN as V–: IF I IN RF VIN - VOUT RI I IN + V −V = IN − RI From Ohm’s lab, we get IIN = (VIN – V-) / RI. Then: Golden Rule #2 tells us V− = 0 ⇒ I IN = VIN RI Golden Rule #1 requires I F = I IN 0 ⇒ (V− − VOUT ) = I F RF ⇒ −VOUT = VIN RF RI !R ⇒ VOUT = − % F ' RI " & VIN ( This is known as the Inverting Amplifier. The output voltage is equal to the input voltage multiplied by a negative constant, with the value of the constant set by the ratio of the two resistors. (Notice the minus sign on the right-hand side. By writings Ohm’s law as DV=IR it arises naturally in our derivation.) Dr. James W. Bales Page 2 of 2