0:00:00.000,0:00:05.525 Now that we know how to calculate the Thebonon equivalent circuit, it's very easy to get the Norton 0:00:05.525,0:00:08.936 from source transformation. The Norton equivalent current is going 0:00:08.936,0:00:13.911 to be V Thevenin divided by R Thebonin, and the parallel resistor here will be 0:00:13.911,0:00:20.440 equal to the series resistor in Febonin. Now let's talk about power transfer. 0:00:20.440,0:00:24.264 When we have our active circuit, which we can model with a Febonin 0:00:24.264,0:00:27.900 equivalent circuit, and our passive circuit, which was modeled just as a load, 0:00:27.900,0:00:32.500 we might very often want to be able to maximize the power that gets to the load. 0:00:32.500,0:00:35.531 Imagine what would happen if we increase this resistance. 0:00:35.531,0:00:39.140 We can see that by increasing the resistance because we've got a voltage divider here, 0:00:39.140,0:00:43.095 we get the larger possible voltage, but we get a much smaller current 0:00:43.095,0:00:47.700 because from Ohm's law that says we have a higher resistance. What if I made the load very small? 0:00:47.700,0:00:52.133 In that case I have a large current but a small voltage. So in fact, 0:00:52.133,0:00:57.190 where's the maximum power transfer? If you calculate the current and you calculate the voltage, 0:00:57.190,0:01:00.950 you'll come up with this equation right here. And if we plot that, 0:01:00.950,0:01:05.350 we'll see that the maximum value happens when the load is equal to the source. 0:01:05.350,0:01:10.698 So our maximum power transfer happens when Rs and RL are matched. You often say matched, 0:01:10.698,0:01:16.470 and this is the maximum power that can be delivered to that load. 0:01:16.470,0:01:20.920 Now here's our electrical engineering circuit analysis toolbox with the addition 0:01:20.920,0:01:25.082 of Thevenin and Norton included. Now, Febin and Norton are very important because 0:01:25.082,0:01:28.914 they allow us to simplify our circuit. They're somewhat like the resistors and 0:01:28.914,0:01:35.658 series and parallel law that allows us to simplify or the superposition. So let's say that this is 0:01:35.658,0:01:41.250 a simplification method, this is a simplification method, and this is a simplification method. 0:01:41.250,0:01:46.080 The other methods can all be used in this Norton and Febin equivalent circuit. 0:01:46.080,0:01:50.040 In fact, you saw us use the node voltage and this equation right here. 0:01:50.040,0:01:54.040 Ohm's law can also be used voltage dividers and current dividers, 0:01:54.040,0:02:00.400 all for doing the analysis that gives us the feminine and Norton equivalent circuits. 0:02:00.400,0:02:05.345 So what did we do today? We talked about how to analyze systems of circuits that might be 0:02:05.345,0:02:08.640 more complicated by breaking them down into simple blocks using the 0:02:08.640,0:02:12.572 concept of input and output resistance. We know that if the output resistance 0:02:12.572,0:02:16.765 is much smaller than the input resistance of the next block that we can 0:02:16.765,0:02:21.100 analyze these individually and if not, we can expect to see voltage loading. 0:02:21.100,0:02:24.152 We analyzed how to calculate feminine 0:02:24.152,0:02:29.780 equivalent circuits by open circuiting 0:02:29.780,0:02:34.660 the points A to B and measuring or simulating or calculating B feminine. 0:02:34.660,0:02:39.820 And then we talked about three different methods of being able to measure our Thevenin. 0:02:39.820,0:02:44.700 We know that we could convert this to a Norton equivalent circuit using source transformation. 0:02:44.700,0:02:49.580 And then we talked about maximum power transfer, which is where the block that has this 0:02:49.580,0:02:53.491 input resistance rather the output resistance is connected to the load 0:02:53.491,0:02:57.948 and these two have to be matched or equal for maximum power transfer. Finally, 0:02:57.948,0:03:02.201 we talked about the updated EC analysis toolbox where we now know that we 0:03:02.201,0:03:05.780 can use Thevenin and Norton as one of our simplification tools and we 0:03:05.780,0:03:10.500 can apply any of the other circuit analysis tools to do our calculation. 0:03:10.500,0:03:17.068 So thanks very much for joining me for the discussion of Thevenin and Norton equivalent circuits.