WEBVTT 00:00:00.000 --> 00:00:03.375 >> Now, let's review what an inverting summer does. 00:00:03.375 --> 00:00:07.575 We can start with the inverting amplifier shown here and then add on 00:00:07.575 --> 00:00:14.310 an additional voltage source, which has its own resistance and its own voltage. 00:00:14.310 --> 00:00:18.630 Then, what's going to happen is Vo is going to be the combination of 00:00:18.630 --> 00:00:25.470 these two voltages, as shown here. 00:00:25.470 --> 00:00:29.280 As with all of our op-amp circuits, 00:00:29.280 --> 00:00:35.850 the Vo is limited between the two power supply voltages as always. 00:00:35.850 --> 00:00:42.540 We can look at this circuit as having two separate gains A and B, 00:00:42.540 --> 00:00:44.250 or minus A and minus B. 00:00:44.250 --> 00:00:51.060 And then, what we do is bring in Vs1 and multiply it by minus A, 00:00:51.060 --> 00:00:56.250 bring in Vs2 and multiply that by minus B, 00:00:56.250 --> 00:00:58.535 and bring the two of these together and add them, 00:00:58.535 --> 00:00:59.900 that's the summer part. 00:00:59.900 --> 00:01:01.925 That gives us V out. 00:01:01.925 --> 00:01:05.489 So, that's how an inverting summer works.