WEBVTT 00:00:00.369 --> 00:00:01.845 - [Instructor] In other videos, we talk about 00:00:01.845 --> 00:00:04.405 how a current flowing through a wire 00:00:04.405 --> 00:00:07.395 can induce a magnetic field. 00:00:07.395 --> 00:00:09.252 Now what we're going to talk about in this video 00:00:09.252 --> 00:00:11.042 is how we can go the other way. 00:00:11.042 --> 00:00:13.227 How a change in a magnetic field 00:00:13.227 --> 00:00:18.063 can affect or induce a current in a loop of wire. 00:00:18.063 --> 00:00:20.794 We're gonna be going from a change, 00:00:20.794 --> 00:00:25.619 change in, and actually we're gonna focus on magnetic flux. 00:00:25.619 --> 00:00:26.452 Magnetic. 00:00:27.404 --> 00:00:29.821 Magnetic flux through a loop. 00:00:32.039 --> 00:00:33.992 Through a loop. 00:00:33.992 --> 00:00:36.100 Now we're going to see how this actually 00:00:36.100 --> 00:00:38.890 induces a current in that loop. 00:00:38.890 --> 00:00:40.697 So, induces. 00:00:40.697 --> 00:00:42.197 Induces a current. 00:00:43.045 --> 00:00:44.378 Induced current. 00:00:45.767 --> 00:00:46.847 This right over here, 00:00:46.847 --> 00:00:49.368 all right, this is my attempted drawing a magnetic field 00:00:49.368 --> 00:00:51.138 and these are the magnetic field lines. 00:00:51.138 --> 00:00:52.184 They don't look like lines 00:00:52.184 --> 00:00:54.103 because they're all popping out of the screen. 00:00:54.103 --> 00:00:56.944 They're moving towards you, towards the viewer 00:00:56.944 --> 00:01:00.524 so you could view these as the tips of the arrow. 00:01:00.524 --> 00:01:02.331 Now there's different ways of showing magnetic fields. 00:01:02.331 --> 00:01:04.445 You could show magnetic field lines like this, 00:01:04.445 --> 00:01:06.103 you could also use vectors. 00:01:06.103 --> 00:01:07.781 And when you're using field lines, 00:01:07.781 --> 00:01:09.703 it's the density of the field lines 00:01:09.703 --> 00:01:11.908 tell you how strong the magnetic field is. 00:01:11.908 --> 00:01:13.234 If you got to the right here, 00:01:13.234 --> 00:01:15.252 they are less dense and so the magnetic field 00:01:15.252 --> 00:01:18.138 is less strong on the right hand side over here 00:01:18.138 --> 00:01:20.342 than they are on the left hand side, 00:01:20.342 --> 00:01:23.174 or at least that's what I'm trying to depict. 00:01:23.174 --> 00:01:24.158 Now if we did it with vectors 00:01:24.158 --> 00:01:26.488 we would have bigger arrows pointing out over here 00:01:26.488 --> 00:01:28.173 than we would over here. 00:01:28.173 --> 00:01:30.524 But now let's do a loop of, 00:01:30.524 --> 00:01:32.161 let's do a loop of wire. 00:01:32.161 --> 00:01:34.645 Let me draw a loop of wire here. 00:01:34.645 --> 00:01:38.540 Let's say I have a loop of wire that is, 00:01:38.540 --> 00:01:40.540 this is my loop of wire. 00:01:41.479 --> 00:01:42.812 My loop of wire. 00:01:44.311 --> 00:01:46.271 If I just throw that loop of wire 00:01:46.271 --> 00:01:48.599 and if it's just stationary, it's in this magnetic field 00:01:48.599 --> 00:01:50.176 and the magnetic field isn't changing, 00:01:50.176 --> 00:01:53.434 I do have some flux going through the, 00:01:53.434 --> 00:01:55.563 I guess you can say the surface defined by this wire. 00:01:55.563 --> 00:01:57.868 And if you're unfamiliar with the term magnetic flux, 00:01:57.868 --> 00:02:00.722 I encourage you to watch the video on magnetic flux. 00:02:00.722 --> 00:02:02.053 But if I just have this wire 00:02:02.053 --> 00:02:03.642 stationary in the magnetic field, 00:02:03.642 --> 00:02:05.878 nothing is going to happen. 00:02:05.878 --> 00:02:08.486 But I will be able to induce a current 00:02:08.486 --> 00:02:11.323 if I change the magnetic flux 00:02:11.323 --> 00:02:14.814 going through this surface in some way. 00:02:14.814 --> 00:02:16.926 So for example, right now the magnetic field 00:02:16.926 --> 00:02:19.586 is pointing out of the screen. 00:02:19.586 --> 00:02:21.508 If I were to make it even stronger 00:02:21.508 --> 00:02:25.091 in the direction pointing out of the screen. 00:02:25.091 --> 00:02:27.494 So, I guess one way to think about it is 00:02:27.494 --> 00:02:30.460 if I were to, if the change in the magnetic field, 00:02:30.460 --> 00:02:33.295 the change in the flux were to get even stronger 00:02:33.295 --> 00:02:34.915 in the outward direction. 00:02:34.915 --> 00:02:36.259 So I don't know, a good way to, 00:02:36.259 --> 00:02:38.571 just gonna get even stronger in the outward direction. 00:02:38.571 --> 00:02:40.128 I'll draw a big arrow there. 00:02:40.128 --> 00:02:41.076 I guess you could say that 00:02:41.076 --> 00:02:45.017 these things became even denser in this outward direction. 00:02:45.017 --> 00:02:47.879 It is actually going to induce a current. 00:02:47.879 --> 00:02:51.578 And the current that it will induce is going to go, 00:02:51.578 --> 00:02:53.402 is going to go in that direction 00:02:53.402 --> 00:02:55.191 and let me draw it a little bit clearer. 00:02:55.191 --> 00:02:57.588 The current is going to go in that direction. 00:02:57.588 --> 00:03:01.562 It's going to go in a clockwise direction around this. 00:03:01.562 --> 00:03:04.628 And that is because that change in the magnetic flux 00:03:04.628 --> 00:03:06.660 that induces a voltage, 00:03:06.660 --> 00:03:11.016 an electromotive force that causes this current to flow. 00:03:11.016 --> 00:03:13.044 That causes the current to flow 00:03:13.044 --> 00:03:15.294 and there's other ways to change the magnetic flux. 00:03:15.294 --> 00:03:18.461 If I were to lessen the magnetic field 00:03:19.426 --> 00:03:21.009 in the outward direction or another way, 00:03:21.009 --> 00:03:23.744 if the change in the magnetic field were inwards, 00:03:23.744 --> 00:03:25.701 then the current would go the other direction. 00:03:25.701 --> 00:03:28.277 But the key here is when I change the flux 00:03:28.277 --> 00:03:32.359 through this surface defined by this wire, 00:03:32.359 --> 00:03:34.295 it's going to induce a current. 00:03:34.295 --> 00:03:36.317 The current isn't going to be there if the thing is, 00:03:36.317 --> 00:03:37.903 if the magnetic field is stationary 00:03:37.903 --> 00:03:41.235 and I'm not changing this loop in any way. 00:03:41.235 --> 00:03:43.730 But as soon as I change the flux in some way, 00:03:43.730 --> 00:03:45.664 I am going to induce a current. 00:03:45.664 --> 00:03:48.224 I could also instead of changing the field, 00:03:48.224 --> 00:03:50.724 I could actually move my coil. 00:03:52.820 --> 00:03:54.103 I could move it that way. 00:03:54.103 --> 00:03:55.293 And if I were to move it that way, 00:03:55.293 --> 00:03:58.813 the flux going through this surface 00:03:58.813 --> 00:04:01.617 or I guess coming out of this surface will increase. 00:04:01.617 --> 00:04:03.135 Because if I move this to the left, 00:04:03.135 --> 00:04:05.411 the magnetic field is denser, 00:04:05.411 --> 00:04:07.767 I guess it's stronger so there'll be more flux 00:04:07.767 --> 00:04:08.965 through this area here. 00:04:08.965 --> 00:04:10.295 So, if you move it that way, 00:04:10.295 --> 00:04:12.100 you also would have a current like this. 00:04:12.100 --> 00:04:13.634 Now if you moved it the other way, 00:04:13.634 --> 00:04:16.188 if it was on the left hand side and you moved it that way, 00:04:16.188 --> 00:04:17.809 it would also induce a current 00:04:17.809 --> 00:04:19.656 but now since the flux is lessening 00:04:19.656 --> 00:04:20.834 in the outward direction, 00:04:20.834 --> 00:04:23.132 the current would go in the other way. 00:04:23.132 --> 00:04:24.537 Now there's other ways to change the flux. 00:04:24.537 --> 00:04:28.176 You could actually change the area of this actual loop 00:04:28.176 --> 00:04:29.634 if somehow it was made out of some 00:04:29.634 --> 00:04:33.432 maybe stretchy, stretchy wire somehow. 00:04:33.432 --> 00:04:35.969 If you increased its, 00:04:35.969 --> 00:04:37.505 if you would increase. 00:04:37.505 --> 00:04:39.588 Let me draw it this way. 00:04:39.588 --> 00:04:42.838 If you were somehow able to stretch it. 00:04:44.276 --> 00:04:47.032 Stretch it so it contains, 00:04:47.032 --> 00:04:50.206 so the actual area increases. 00:04:50.206 --> 00:04:51.669 If you were able to stretch it out 00:04:51.669 --> 00:04:53.191 so that the actual area increases 00:04:53.191 --> 00:04:55.048 which would cause the flux in the 00:04:55.048 --> 00:04:57.604 out of the screen direction to increase even more, 00:04:57.604 --> 00:04:59.752 that also would induce, 00:04:59.752 --> 00:05:02.125 that also would induce the current. 00:05:02.125 --> 00:05:06.498 And so this whole idea of a change in magnetic flux 00:05:06.498 --> 00:05:09.383 inducing a current, this is the essence 00:05:09.383 --> 00:05:11.636 and we'll go deeper into it in future videos, 00:05:11.636 --> 00:05:14.719 this is the essence of Faraday's Law. 00:05:15.651 --> 00:05:16.484 Faraday's, 00:05:18.051 --> 00:05:19.218 Faraday's Law. 00:05:21.282 --> 00:05:23.668 And we'll quantify this more in future videos 00:05:23.668 --> 00:05:27.640 but it's just the notion that if I have a loop of wire 00:05:27.640 --> 00:05:29.780 and I have a changing magnetic flux 00:05:29.780 --> 00:05:31.425 through the loop of wire, 00:05:31.425 --> 00:05:35.342 that is going to induce a current in that wire.