WEBVTT 00:00:00.000 --> 00:00:01.765 - [Voiceover] In other videos we talk about 00:00:01.765 --> 00:00:04.409 how a current flowing through a wire 00:00:04.409 --> 00:00:07.257 can induce a magnetic field. 00:00:07.257 --> 00:00:09.186 And we're going to talk about in this video 00:00:09.186 --> 00:00:10.974 is how we can go the other way. 00:00:10.974 --> 00:00:13.134 How a change in a magnetic field 00:00:13.134 --> 00:00:15.594 can affect or induce a current 00:00:15.594 --> 00:00:18.010 in a loop of wire. 00:00:18.010 --> 00:00:20.693 So we're gonna be going from a change, 00:00:20.693 --> 00:00:23.085 change in and actually we're gonna 00:00:23.085 --> 00:00:25.239 focus on magnetic flux. 00:00:27.268 --> 00:00:29.946 Magnetic flux through a loop. 00:00:31.924 --> 00:00:33.944 Through a loop. 00:00:33.944 --> 00:00:35.385 And we're going to see how this 00:00:35.385 --> 00:00:38.838 actually induces a current in that loop. 00:00:38.838 --> 00:00:43.022 So it induces a current. 00:00:43.022 --> 00:00:44.550 Induced current. 00:00:45.368 --> 00:00:46.716 So this right over here, 00:00:46.716 --> 00:00:49.282 and this is my attempt at drawing a magnetic field, 00:00:49.282 --> 00:00:51.103 and these are the magnetic field lines. 00:00:51.103 --> 00:00:52.292 They don't look like lines because 00:00:52.292 --> 00:00:54.008 they're all popping out of the screen. 00:00:54.008 --> 00:00:56.840 They're moving towards you, towards the viewer, 00:00:56.840 --> 00:01:00.440 so you can view these as the tips of the arrow. 00:01:00.440 --> 00:01:02.203 And there's different ways of showing magnetic fields. 00:01:02.203 --> 00:01:04.388 You could show magnetic field lines like this. 00:01:04.388 --> 00:01:05.968 You could also use vectors. 00:01:05.968 --> 00:01:07.776 And when you're using field lines, 00:01:07.776 --> 00:01:09.564 it's the density of the field lines 00:01:09.564 --> 00:01:11.771 tell you how strong the magnetic field is. 00:01:11.771 --> 00:01:14.047 So if you go to the right here, they are less dense. 00:01:14.047 --> 00:01:16.251 And so the magnetic field is less strong 00:01:16.251 --> 00:01:17.971 on the right-hand side over here 00:01:17.971 --> 00:01:20.291 than they are on the left-hand side, 00:01:20.291 --> 00:01:23.143 or at least that's what I'm trying to depict. 00:01:23.143 --> 00:01:24.046 Now if we did it with vectors, 00:01:24.046 --> 00:01:25.791 we would have a bigger arrows pointing out 00:01:25.791 --> 00:01:28.274 over here than we would over there. 00:01:28.274 --> 00:01:30.505 But now let's do a loop of, 00:01:30.505 --> 00:01:32.085 let's do a loop of wire. 00:01:32.085 --> 00:01:34.606 So let me draw a loop of wire here. 00:01:34.606 --> 00:01:37.954 So let's say I have a loop of wire that is, 00:01:37.954 --> 00:01:39.967 so this is my loop of wire. 00:01:41.321 --> 00:01:44.323 My loop of wire. 00:01:44.323 --> 00:01:46.125 So if I just throw that loop of wire, 00:01:46.125 --> 00:01:48.425 and it it's just stationary, it's in this magnetic field, 00:01:48.425 --> 00:01:49.913 and the magnetic field isn't changing, 00:01:49.913 --> 00:01:53.489 I do have some flux going through the I guess 00:01:53.489 --> 00:01:55.392 you could say the surface defined by this wire, 00:01:55.392 --> 00:01:57.804 and if you're unfamiliar with the term magnetic flux, 00:01:57.804 --> 00:02:00.568 I encourage you to watch the video on magnetic flux. 00:02:00.568 --> 00:02:02.428 But if I just have this wire stationary 00:02:02.428 --> 00:02:05.816 in the magnetic field nothing is going to happen. 00:02:05.816 --> 00:02:08.432 But I will be able to induce a current 00:02:08.432 --> 00:02:11.186 if I change the magnetic flux 00:02:11.186 --> 00:02:14.574 going through this surface in some way. 00:02:14.574 --> 00:02:16.829 So for example, right now the magnetic field 00:02:16.829 --> 00:02:19.589 is pointing out of the screen. 00:02:19.589 --> 00:02:21.309 If I were to make it even stronger 00:02:21.309 --> 00:02:24.977 than the direction pointing out of the screen, 00:02:24.977 --> 00:02:28.383 so I guess one way to think about it is 00:02:28.383 --> 00:02:30.441 if the change in the magnetic field, 00:02:30.441 --> 00:02:32.041 the change in the flux were to get 00:02:32.041 --> 00:02:34.829 even stronger in the outward direction, 00:02:34.829 --> 00:02:36.081 so I don't know a good way to, 00:02:36.081 --> 00:02:38.497 so it's gonna get even stronger in the outer direction, 00:02:38.497 --> 00:02:39.936 I'll draw a big arrow there, 00:02:39.936 --> 00:02:41.912 I guess you could say that these things 00:02:41.912 --> 00:02:44.904 became even denser in this outward direction, 00:02:44.904 --> 00:02:47.925 it is actually going to induce a current. 00:02:47.925 --> 00:02:49.875 And the current that it will induce 00:02:51.536 --> 00:02:53.145 is going to go in that direction. 00:02:53.145 --> 00:02:55.072 And now let me draw a little bit clearer. 00:02:55.072 --> 00:02:57.557 The current is going to go in that direction. 00:02:57.557 --> 00:03:01.481 It's going to go in a clockwise direction around this. 00:03:01.481 --> 00:03:03.104 And that is because that change 00:03:03.104 --> 00:03:06.521 in the magnetic flux that induces a voltage, 00:03:06.521 --> 00:03:08.264 an electro mode of force 00:03:08.264 --> 00:03:10.495 that causes this current to flow, 00:03:13.001 --> 00:03:15.861 And there's other ways to change the magnetic flux. 00:03:16.961 --> 00:03:19.373 If I were to lessen the magnetic field 00:03:19.373 --> 00:03:20.977 in the outward direction or another way, 00:03:20.977 --> 00:03:23.601 if the change in the magnetic field were inwards, 00:03:23.601 --> 00:03:25.621 then the current would go the other direction. 00:03:25.621 --> 00:03:28.439 But the key here is when I change the flux 00:03:29.399 --> 00:03:32.314 through this surface defined by this wire, 00:03:32.314 --> 00:03:34.241 it's going to induce a current. 00:03:34.241 --> 00:03:36.433 The current isn't going to be there 00:03:36.433 --> 00:03:37.637 if the magnetic field is stationary 00:03:37.637 --> 00:03:41.029 and I'm not changing this loop in any way, 00:03:41.029 --> 00:03:43.605 but as soon as I change the flux in some way, 00:03:43.605 --> 00:03:45.673 I am going to induce a current. 00:03:45.673 --> 00:03:48.713 I could also, instead of changing the field, 00:03:50.623 --> 00:03:52.825 I could actually move my coil, 00:03:52.825 --> 00:03:53.960 I could move it that way. 00:03:53.960 --> 00:03:55.216 And if I were to move it that way, 00:03:55.216 --> 00:03:58.653 the flux going through this surface, 00:03:58.653 --> 00:04:01.556 or I guess coming out of this surface, will increase. 00:04:01.556 --> 00:04:02.972 Because if I move this to the left, 00:04:02.972 --> 00:04:06.452 the magnetic field is denser, I guess it's stronger, 00:04:06.452 --> 00:04:08.984 so there will more flux through this area here. 00:04:08.984 --> 00:04:10.174 So if you move it that way, 00:04:10.174 --> 00:04:12.054 you also would have a current like this. 00:04:12.054 --> 00:04:13.538 Now if you moved it the other way, 00:04:13.538 --> 00:04:16.026 if it was on the left-hand side and you moved it that way, 00:04:16.026 --> 00:04:17.718 it would also induce a current, 00:04:17.718 --> 00:04:19.301 but now since the flux is lessening 00:04:19.301 --> 00:04:20.745 in the outward direction, 00:04:20.745 --> 00:04:23.045 the current would go in the other way. 00:04:23.045 --> 00:04:24.253 Now there's other ways to change the flux. 00:04:24.253 --> 00:04:26.294 You could actually change the area 00:04:26.294 --> 00:04:28.826 of this actual loop if somehow it was made 00:04:28.826 --> 00:04:32.804 out of some maybe stretchy wire somehow. 00:04:36.055 --> 00:04:38.555 If you had increased, let me draw it this way. 00:04:39.537 --> 00:04:42.689 If you were somehow able to stretch it, 00:04:45.391 --> 00:04:49.180 so it contains, so the actual area increases, 00:04:50.211 --> 00:04:51.531 if you were able to stretch it out 00:04:51.531 --> 00:04:53.134 so that the actual area increases, 00:04:53.134 --> 00:04:55.110 which would cause the flux in the out 00:04:55.110 --> 00:04:57.892 of the screen direction to increase even more, 00:04:59.882 --> 00:05:02.005 that also would induce the current. 00:05:02.005 --> 00:05:04.910 And so this whole idea of a change 00:05:04.910 --> 00:05:07.974 in magnetic flux inducing a current, 00:05:07.974 --> 00:05:10.066 this is the essence and we'll go deeper 00:05:10.066 --> 00:05:11.551 into it in future videos, 00:05:11.551 --> 00:05:15.217 this is the essence of Faraday's Law. 00:05:20.191 --> 00:05:21.125 Faraday's Law. 00:05:21.125 --> 00:05:23.585 And we'll quantify this more in future videos, 00:05:23.585 --> 00:05:25.139 but it's just the notion 00:05:25.139 --> 00:05:27.536 that if I have a loop of wire, 00:05:27.536 --> 00:05:29.579 and I have a changing magnetic flux 00:05:29.579 --> 00:05:31.391 through the loop of wire, 00:05:31.391 --> 00:05:34.908 that is going to induce a current in that wire.