0:00:00.000,0:00:01.765 - [Voiceover] In other[br]videos we talk about 0:00:01.765,0:00:04.409 how a current flowing through a wire 0:00:04.409,0:00:07.257 can induce a magnetic field. 0:00:07.257,0:00:09.186 And we're going to talk[br]about in this video 0:00:09.186,0:00:10.974 is how we can go the other way. 0:00:10.974,0:00:13.134 How a change in a magnetic field 0:00:13.134,0:00:15.594 can affect or induce a current 0:00:15.594,0:00:18.010 in a loop of wire. 0:00:18.010,0:00:20.693 So we're gonna be going from a change, 0:00:20.693,0:00:23.085 change in and actually we're gonna 0:00:23.085,0:00:25.239 focus on magnetic flux. 0:00:27.268,0:00:29.946 Magnetic flux through a loop. 0:00:31.924,0:00:33.944 Through a loop. 0:00:33.944,0:00:35.385 And we're going to see how this 0:00:35.385,0:00:38.838 actually induces a current in that loop. 0:00:38.838,0:00:43.022 So it induces a current. 0:00:43.022,0:00:44.550 Induced current. 0:00:45.368,0:00:46.716 So this right over here, 0:00:46.716,0:00:49.282 and this is my attempt at[br]drawing a magnetic field, 0:00:49.282,0:00:51.103 and these are the magnetic field lines. 0:00:51.103,0:00:52.292 They don't look like lines because 0:00:52.292,0:00:54.008 they're all popping out of the screen. 0:00:54.008,0:00:56.840 They're moving towards[br]you, towards the viewer, 0:00:56.840,0:01:00.440 so you can view these as[br]the tips of the arrow. 0:01:00.440,0:01:02.203 And there's different ways[br]of showing magnetic fields. 0:01:02.203,0:01:04.388 You could show magnetic[br]field lines like this. 0:01:04.388,0:01:05.968 You could also use vectors. 0:01:05.968,0:01:07.776 And when you're using field lines, 0:01:07.776,0:01:09.564 it's the density of the field lines 0:01:09.564,0:01:11.771 tell you how strong the magnetic field is. 0:01:11.771,0:01:14.047 So if you go to the right[br]here, they are less dense. 0:01:14.047,0:01:16.251 And so the magnetic field is less strong 0:01:16.251,0:01:17.971 on the right-hand side over here 0:01:17.971,0:01:20.291 than they are on the left-hand side, 0:01:20.291,0:01:23.143 or at least that's what[br]I'm trying to depict. 0:01:23.143,0:01:24.046 Now if we did it with vectors, 0:01:24.046,0:01:25.791 we would have a bigger arrows pointing out 0:01:25.791,0:01:28.274 over here than we would over there. 0:01:28.274,0:01:30.505 But now let's do a loop of, 0:01:30.505,0:01:32.085 let's do a loop of wire. 0:01:32.085,0:01:34.606 So let me draw a loop of wire here. 0:01:34.606,0:01:37.954 So let's say I have a[br]loop of wire that is, 0:01:37.954,0:01:39.967 so this is my loop of wire. 0:01:41.321,0:01:44.323 My loop of wire. 0:01:44.323,0:01:46.125 So if I just throw that loop of wire, 0:01:46.125,0:01:48.425 and it it's just stationary,[br]it's in this magnetic field, 0:01:48.425,0:01:49.913 and the magnetic field isn't changing, 0:01:49.913,0:01:53.489 I do have some flux[br]going through the I guess 0:01:53.489,0:01:55.392 you could say the surface[br]defined by this wire, 0:01:55.392,0:01:57.804 and if you're unfamiliar[br]with the term magnetic flux, 0:01:57.804,0:02:00.568 I encourage you to watch[br]the video on magnetic flux. 0:02:00.568,0:02:02.428 But if I just have this wire stationary 0:02:02.428,0:02:05.816 in the magnetic field[br]nothing is going to happen. 0:02:05.816,0:02:08.432 But I will be able to induce a current 0:02:08.432,0:02:11.186 if I change the magnetic flux 0:02:11.186,0:02:14.574 going through this surface in some way. 0:02:14.574,0:02:16.829 So for example, right[br]now the magnetic field 0:02:16.829,0:02:19.589 is pointing out of the screen. 0:02:19.589,0:02:21.309 If I were to make it even stronger 0:02:21.309,0:02:24.977 than the direction[br]pointing out of the screen, 0:02:24.977,0:02:28.383 so I guess one way to think about it is 0:02:28.383,0:02:30.441 if the change in the magnetic field, 0:02:30.441,0:02:32.041 the change in the flux were to get 0:02:32.041,0:02:34.829 even stronger in the outward direction, 0:02:34.829,0:02:36.081 so I don't know a good way to, 0:02:36.081,0:02:38.497 so it's gonna get even stronger[br]in the outer direction, 0:02:38.497,0:02:39.936 I'll draw a big arrow there, 0:02:39.936,0:02:41.912 I guess you could say that these things 0:02:41.912,0:02:44.904 became even denser in[br]this outward direction, 0:02:44.904,0:02:47.925 it is actually going to induce a current. 0:02:47.925,0:02:49.875 And the current that it will induce 0:02:51.536,0:02:53.145 is going to go in that direction. 0:02:53.145,0:02:55.072 And now let me draw a little bit clearer. 0:02:55.072,0:02:57.557 The current is going to[br]go in that direction. 0:02:57.557,0:03:01.481 It's going to go in a clockwise[br]direction around this. 0:03:01.481,0:03:03.104 And that is because that change 0:03:03.104,0:03:06.521 in the magnetic flux[br]that induces a voltage, 0:03:06.521,0:03:08.264 an electro mode of force 0:03:08.264,0:03:10.495 that causes this current to flow, 0:03:13.001,0:03:15.861 And there's other ways to[br]change the magnetic flux. 0:03:16.961,0:03:19.373 If I were to lessen the magnetic field 0:03:19.373,0:03:20.977 in the outward direction or another way, 0:03:20.977,0:03:23.601 if the change in the[br]magnetic field were inwards, 0:03:23.601,0:03:25.621 then the current would[br]go the other direction. 0:03:25.621,0:03:28.439 But the key here is when I change the flux 0:03:29.399,0:03:32.314 through this surface defined by this wire, 0:03:32.314,0:03:34.241 it's going to induce a current. 0:03:34.241,0:03:36.433 The current isn't going to be there 0:03:36.433,0:03:37.637 if the magnetic field is stationary 0:03:37.637,0:03:41.029 and I'm not changing this loop in any way, 0:03:41.029,0:03:43.605 but as soon as I change[br]the flux in some way, 0:03:43.605,0:03:45.673 I am going to induce a current. 0:03:45.673,0:03:48.713 I could also, instead[br]of changing the field, 0:03:50.623,0:03:52.825 I could actually move my coil, 0:03:52.825,0:03:53.960 I could move it that way. 0:03:53.960,0:03:55.216 And if I were to move it that way, 0:03:55.216,0:03:58.653 the flux going through this surface, 0:03:58.653,0:04:01.556 or I guess coming out of[br]this surface, will increase. 0:04:01.556,0:04:02.972 Because if I move this to the left, 0:04:02.972,0:04:06.452 the magnetic field is denser,[br]I guess it's stronger, 0:04:06.452,0:04:08.984 so there will more flux[br]through this area here. 0:04:08.984,0:04:10.174 So if you move it that way, 0:04:10.174,0:04:12.054 you also would have a current like this. 0:04:12.054,0:04:13.538 Now if you moved it the other way, 0:04:13.538,0:04:16.026 if it was on the left-hand[br]side and you moved it that way, 0:04:16.026,0:04:17.718 it would also induce a current, 0:04:17.718,0:04:19.301 but now since the flux is lessening 0:04:19.301,0:04:20.745 in the outward direction, 0:04:20.745,0:04:23.045 the current would go in the other way. 0:04:23.045,0:04:24.253 Now there's other ways to change the flux. 0:04:24.253,0:04:26.294 You could actually change the area 0:04:26.294,0:04:28.826 of this actual loop if somehow it was made 0:04:28.826,0:04:32.804 out of some maybe stretchy wire somehow. 0:04:36.055,0:04:38.555 If you had increased,[br]let me draw it this way. 0:04:39.537,0:04:42.689 If you were somehow able to stretch it, 0:04:45.391,0:04:49.180 so it contains, so the[br]actual area increases, 0:04:50.211,0:04:51.531 if you were able to stretch it out 0:04:51.531,0:04:53.134 so that the actual area increases, 0:04:53.134,0:04:55.110 which would cause the flux in the out 0:04:55.110,0:04:57.892 of the screen direction[br]to increase even more, 0:04:59.882,0:05:02.005 that also would induce the current. 0:05:02.005,0:05:04.910 And so this whole idea of a change 0:05:04.910,0:05:07.974 in magnetic flux inducing a current, 0:05:07.974,0:05:10.066 this is the essence and we'll go deeper 0:05:10.066,0:05:11.551 into it in future videos, 0:05:11.551,0:05:15.217 this is the essence of Faraday's Law. 0:05:20.191,0:05:21.125 Faraday's Law. 0:05:21.125,0:05:23.585 And we'll quantify this[br]more in future videos, 0:05:23.585,0:05:25.139 but it's just the notion 0:05:25.139,0:05:27.536 that if I have a loop of wire, 0:05:27.536,0:05:29.579 and I have a changing magnetic flux 0:05:29.579,0:05:31.391 through the loop of wire, 0:05:31.391,0:05:34.908 that is going to induce[br]a current in that wire.