[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.96,0:00:03.50,Default,,0000,0000,0000,,Okay, here's a problem that we\Nwere working in class today, and
Dialogue: 0,0:00:03.50,0:00:06.62,Default,,0000,0000,0000,,I would like to just go over\Nthis example again for you.
Dialogue: 0,0:00:06.62,0:00:08.40,Default,,0000,0000,0000,,We want to be able to find Vx.
Dialogue: 0,0:00:08.40,0:00:12.08,Default,,0000,0000,0000,,We can see we have a lot of resistors here\Nwe can combine in series and parallel.
Dialogue: 0,0:00:12.08,0:00:14.31,Default,,0000,0000,0000,,Let's first color code all of our nodes.
Dialogue: 0,0:00:14.31,0:00:18.63,Default,,0000,0000,0000,,Here is a red node,\Nthat's a extraordinary node.
Dialogue: 0,0:00:18.63,0:00:22.69,Default,,0000,0000,0000,,Here is an orange node,\Nthat's another extraordinary node.
Dialogue: 0,0:00:25.20,0:00:28.55,Default,,0000,0000,0000,,Here is a blue node, also extraordinary.
Dialogue: 0,0:00:28.55,0:00:32.79,Default,,0000,0000,0000,,And we can see that at the bottom,\Nwe have a black node that is also
Dialogue: 0,0:00:32.79,0:00:36.54,Default,,0000,0000,0000,,an extraordinary node that\Nincludes all of these elements.
Dialogue: 0,0:00:36.54,0:00:39.56,Default,,0000,0000,0000,,Well let's begin by combining\Nour resistors in parallel.
Dialogue: 0,0:00:39.56,0:00:41.86,Default,,0000,0000,0000,,We can see that,\Nthese two 16 are in parallel,
Dialogue: 0,0:00:41.86,0:00:44.96,Default,,0000,0000,0000,,because they are red on the top and\Nblack on the bottom.
Dialogue: 0,0:00:44.96,0:00:49.94,Default,,0000,0000,0000,,When we have resistors in parallel,\Nwe combine them in this way and
Dialogue: 0,0:00:49.94,0:00:52.84,Default,,0000,0000,0000,,if they happen to be\Nequal as the two 16 are.
Dialogue: 0,0:00:52.84,0:00:56.61,Default,,0000,0000,0000,,Then we end up with half\Nof the original resistance.
Dialogue: 0,0:00:56.61,0:01:00.65,Default,,0000,0000,0000,,So, when you combine these two in\Nparallel 16 and parallel with 16,
Dialogue: 0,0:01:00.65,0:01:02.11,Default,,0000,0000,0000,,it's going to give us 8.
Dialogue: 0,0:01:02.11,0:01:04.68,Default,,0000,0000,0000,,We can now see the 4 and\Nthe 8 are in series,
Dialogue: 0,0:01:04.68,0:01:08.68,Default,,0000,0000,0000,,because they have a single\Nordinary node between them.
Dialogue: 0,0:01:08.68,0:01:13.38,Default,,0000,0000,0000,,So, when we combine those in series\Nwe just add them up, and the 8 and
Dialogue: 0,0:01:13.38,0:01:18.02,Default,,0000,0000,0000,,4 together, right here,\Nis going to give me a resistance of 12.
Dialogue: 0,0:01:18.02,0:01:21.83,Default,,0000,0000,0000,,Now, we have a 12 from yellow to black and\Nyellow to black,
Dialogue: 0,0:01:21.83,0:01:23.90,Default,,0000,0000,0000,,those two are in parallel.
Dialogue: 0,0:01:23.90,0:01:28.67,Default,,0000,0000,0000,,So 12 and 12 in parallel,\Nbecause of the same going to give me 6.
Dialogue: 0,0:01:28.67,0:01:30.51,Default,,0000,0000,0000,,Now, something cool happens here.
Dialogue: 0,0:01:30.51,0:01:35.13,Default,,0000,0000,0000,,I end up with a 6 on a resistance right\Nhere, which I can bring to the other side
Dialogue: 0,0:01:35.13,0:01:40.04,Default,,0000,0000,0000,,of my current source and\Nthat's because, they have the same node
Dialogue: 0,0:01:40.04,0:01:43.78,Default,,0000,0000,0000,,across the topic and rearrange anything\Nthat's connected in the same nodes.
Dialogue: 0,0:01:43.78,0:01:47.73,Default,,0000,0000,0000,,So, my 6 is going to come over there and\Nthen the 6 and 6 in parallel,
Dialogue: 0,0:01:47.73,0:01:50.46,Default,,0000,0000,0000,,is going to get me something that is 3.
Dialogue: 0,0:01:50.46,0:01:56.10,Default,,0000,0000,0000,,So my final circuit,\Nis going to look like a 10 amp current
Dialogue: 0,0:01:56.10,0:02:01.28,Default,,0000,0000,0000,,source in parallel with 3 ohms,\Nand then I have a 4 and
Dialogue: 0,0:02:01.28,0:02:07.74,Default,,0000,0000,0000,,let's combine these in series 8,\Nand I want to find this voltage.
Dialogue: 0,0:02:07.74,0:02:08.81,Default,,0000,0000,0000,,There's not a minus there.
Dialogue: 0,0:02:08.81,0:02:10.90,Default,,0000,0000,0000,,I want to find Vx.
Dialogue: 0,0:02:10.90,0:02:14.04,Default,,0000,0000,0000,,Now, I also can see that 8 and\N4 go together in series.
Dialogue: 0,0:02:14.04,0:02:18.27,Default,,0000,0000,0000,,But, because I want to find Vx, I need to\Nleave the element that it's across and
Dialogue: 0,0:02:18.27,0:02:23.20,Default,,0000,0000,0000,,not combine it with other stuff or else\Nit will get all mixed up in my circuit.
Dialogue: 0,0:02:23.20,0:02:24.62,Default,,0000,0000,0000,,Now, here's the circuit that we have, and
Dialogue: 0,0:02:24.62,0:02:27.30,Default,,0000,0000,0000,,I'm going to show you two different\Nways of being able to solve it.