1 00:00:00,369 --> 00:00:01,845 - [Instructor] In other videos, we talk about 2 00:00:01,845 --> 00:00:04,405 how a current flowing through a wire 3 00:00:04,405 --> 00:00:07,395 can induce a magnetic field. 4 00:00:07,395 --> 00:00:09,252 Now what we're going to talk about in this video 5 00:00:09,252 --> 00:00:11,042 is how we can go the other way. 6 00:00:11,042 --> 00:00:13,227 How a change in a magnetic field 7 00:00:13,227 --> 00:00:18,063 can affect or induce a current in a loop of wire. 8 00:00:18,063 --> 00:00:20,794 We're gonna be going from a change, 9 00:00:20,794 --> 00:00:25,619 change in, and actually we're gonna focus on magnetic flux. 10 00:00:25,619 --> 00:00:26,452 Magnetic. 11 00:00:27,404 --> 00:00:29,821 Magnetic flux through a loop. 12 00:00:32,039 --> 00:00:33,992 Through a loop. 13 00:00:33,992 --> 00:00:36,100 Now we're going to see how this actually 14 00:00:36,100 --> 00:00:38,890 induces a current in that loop. 15 00:00:38,890 --> 00:00:40,697 So, induces. 16 00:00:40,697 --> 00:00:42,197 Induces a current. 17 00:00:43,045 --> 00:00:44,378 Induced current. 18 00:00:45,767 --> 00:00:46,847 This right over here, 19 00:00:46,847 --> 00:00:49,368 all right, this is my attempted drawing a magnetic field 20 00:00:49,368 --> 00:00:51,138 and these are the magnetic field lines. 21 00:00:51,138 --> 00:00:52,184 They don't look like lines 22 00:00:52,184 --> 00:00:54,103 because they're all popping out of the screen. 23 00:00:54,103 --> 00:00:56,944 They're moving towards you, towards the viewer 24 00:00:56,944 --> 00:01:00,524 so you could view these as the tips of the arrow. 25 00:01:00,524 --> 00:01:02,331 Now there's different ways of showing magnetic fields. 26 00:01:02,331 --> 00:01:04,444 You could show magnetic field lines like this, 27 00:01:04,444 --> 00:01:06,103 you could also use vectors. 28 00:01:06,103 --> 00:01:07,781 And when you're using field lines, 29 00:01:07,781 --> 00:01:09,703 it's the density of the field lines 30 00:01:09,703 --> 00:01:11,908 tell you how strong the magnetic field is. 31 00:01:11,908 --> 00:01:13,234 If you got to the right here, 32 00:01:13,234 --> 00:01:15,252 they are less dense and so the magnetic field 33 00:01:15,252 --> 00:01:18,138 is less strong on the right hand side over here 34 00:01:18,138 --> 00:01:20,342 than they are on the left hand side, 35 00:01:20,342 --> 00:01:23,174 or at least that's what I'm trying to depict. 36 00:01:23,174 --> 00:01:24,158 Now if we did it with vectors 37 00:01:24,158 --> 00:01:26,488 we would have bigger arrows pointing out over here 38 00:01:26,488 --> 00:01:28,173 than we would over here. 39 00:01:28,173 --> 00:01:30,524 But now let's do a loop of, 40 00:01:30,524 --> 00:01:32,161 let's do a loop of wire. 41 00:01:32,161 --> 00:01:34,645 Let me draw a loop of wire here. 42 00:01:34,645 --> 00:01:38,540 Let's say I have a loop of wire that is, 43 00:01:38,540 --> 00:01:40,540 this is my loop of wire. 44 00:01:41,479 --> 00:01:42,812 My loop of wire. 45 00:01:44,311 --> 00:01:46,271 If I just throw that loop of wire 46 00:01:46,271 --> 00:01:48,599 and if it's just stationary, it's in this magnetic field 47 00:01:48,599 --> 00:01:50,176 and the magnetic field isn't changing, 48 00:01:50,176 --> 00:01:53,434 I do have some flux going through the, 49 00:01:53,434 --> 00:01:55,563 I guess you can say the surface defined by this wire. 50 00:01:55,563 --> 00:01:57,868 And if you're unfamiliar with the term magnetic flux, 51 00:01:57,868 --> 00:02:00,722 I encourage you to watch the video on magnetic flux. 52 00:02:00,722 --> 00:02:02,053 But if I just have this wire 53 00:02:02,053 --> 00:02:03,642 stationary in the magnetic field, 54 00:02:03,642 --> 00:02:05,878 nothing is going to happen. 55 00:02:05,878 --> 00:02:08,485 But I will be able to induce a current 56 00:02:08,485 --> 00:02:11,323 if I change the magnetic flux 57 00:02:11,323 --> 00:02:14,814 going through this surface in some way. 58 00:02:14,814 --> 00:02:16,926 So for example, right now the magnetic field 59 00:02:16,926 --> 00:02:19,586 is pointing out of the screen. 60 00:02:19,586 --> 00:02:21,508 If I were to make it even stronger 61 00:02:21,508 --> 00:02:25,091 in the direction pointing out of the screen. 62 00:02:25,091 --> 00:02:27,494 So, I guess one way to think about it is 63 00:02:27,494 --> 00:02:30,460 if I were to, if the change in the magnetic field, 64 00:02:30,460 --> 00:02:33,295 the change in the flux were to get even stronger 65 00:02:33,295 --> 00:02:34,915 in the outward direction. 66 00:02:34,915 --> 00:02:36,259 So I don't know, a good way to, 67 00:02:36,259 --> 00:02:38,571 just gonna get even stronger in the outward direction. 68 00:02:38,571 --> 00:02:40,128 I'll draw a big arrow there. 69 00:02:40,128 --> 00:02:41,076 I guess you could say that 70 00:02:41,076 --> 00:02:45,017 these things became even denser in this outward direction. 71 00:02:45,017 --> 00:02:47,879 It is actually going to induce a current. 72 00:02:47,879 --> 00:02:51,578 And the current that it will induce is going to go, 73 00:02:51,578 --> 00:02:53,402 is going to go in that direction 74 00:02:53,402 --> 00:02:55,191 and let me draw it a little bit clearer. 75 00:02:55,191 --> 00:02:57,588 The current is going to go in that direction. 76 00:02:57,588 --> 00:03:01,562 It's going to go in a clockwise direction around this. 77 00:03:01,562 --> 00:03:04,628 And that is because that change in the magnetic flux 78 00:03:04,628 --> 00:03:06,660 that induces a voltage, 79 00:03:06,660 --> 00:03:11,016 an electromotive force that causes this current to flow. 80 00:03:11,016 --> 00:03:13,044 That causes the current to flow 81 00:03:13,044 --> 00:03:15,294 and there's other ways to change the magnetic flux. 82 00:03:15,294 --> 00:03:18,461 If I were to lessen the magnetic field 83 00:03:19,426 --> 00:03:21,009 in the outward direction or another way, 84 00:03:21,009 --> 00:03:23,744 if the change in the magnetic field were inwards, 85 00:03:23,744 --> 00:03:25,701 then the current would go the other direction. 86 00:03:25,701 --> 00:03:28,277 But the key here is when I change the flux 87 00:03:28,277 --> 00:03:32,359 through this surface defined by this wire, 88 00:03:32,359 --> 00:03:34,295 it's going to induce a current. 89 00:03:34,295 --> 00:03:36,317 The current isn't going to be there if the thing is, 90 00:03:36,317 --> 00:03:37,903 if the magnetic field is stationary 91 00:03:37,903 --> 00:03:41,235 and I'm not changing this loop in any way. 92 00:03:41,235 --> 00:03:43,730 But as soon as I change the flux in some way, 93 00:03:43,730 --> 00:03:45,664 I am going to induce a current. 94 00:03:45,664 --> 00:03:48,224 I could also instead of changing the field, 95 00:03:48,224 --> 00:03:50,724 I could actually move my coil. 96 00:03:52,820 --> 00:03:54,103 I could move it that way. 97 00:03:54,103 --> 00:03:55,293 And if I were to move it that way, 98 00:03:55,293 --> 00:03:58,813 the flux going through this surface 99 00:03:58,813 --> 00:04:01,617 or I guess coming out of this surface will increase. 100 00:04:01,617 --> 00:04:03,135 Because if I move this to the left, 101 00:04:03,135 --> 00:04:05,411 the magnetic field is denser, 102 00:04:05,411 --> 00:04:07,767 I guess it's stronger so there'll be more flux 103 00:04:07,767 --> 00:04:08,965 through this area here. 104 00:04:08,965 --> 00:04:10,295 So, if you move it that way, 105 00:04:10,295 --> 00:04:12,100 you also would have a current like this. 106 00:04:12,100 --> 00:04:13,634 Now if you moved it the other way, 107 00:04:13,634 --> 00:04:16,188 if it was on the left hand side and you moved it that way, 108 00:04:16,188 --> 00:04:17,809 it would also induce a current 109 00:04:17,809 --> 00:04:19,656 but now since the flux is lessening 110 00:04:19,656 --> 00:04:20,834 in the outward direction, 111 00:04:20,834 --> 00:04:23,132 the current would go in the other way. 112 00:04:23,132 --> 00:04:24,537 Now there's other ways to change the flux. 113 00:04:24,537 --> 00:04:28,176 You could actually change the area of this actual loop 114 00:04:28,176 --> 00:04:29,634 if somehow it was made out of some 115 00:04:29,634 --> 00:04:33,432 maybe stretchy, stretchy wire somehow. 116 00:04:33,432 --> 00:04:35,969 If you increased its, 117 00:04:35,969 --> 00:04:37,505 if you would increase. 118 00:04:37,505 --> 00:04:39,588 Let me draw it this way. 119 00:04:39,588 --> 00:04:42,838 If you were somehow able to stretch it. 120 00:04:44,276 --> 00:04:47,032 Stretch it so it contains, 121 00:04:47,032 --> 00:04:50,206 so the actual area increases. 122 00:04:50,206 --> 00:04:51,669 If you were able to stretch it out 123 00:04:51,669 --> 00:04:53,191 so that the actual area increases 124 00:04:53,191 --> 00:04:55,048 which would cause the flux in the 125 00:04:55,048 --> 00:04:57,604 out of the screen direction to increase even more, 126 00:04:57,604 --> 00:04:59,752 that also would induce, 127 00:04:59,752 --> 00:05:02,125 that also would induce the current. 128 00:05:02,125 --> 00:05:06,498 And so this whole idea of a change in magnetic flux 129 00:05:06,498 --> 00:05:09,383 inducing a current, this is the essence 130 00:05:09,383 --> 00:05:11,636 and we'll go deeper into it in future videos, 131 00:05:11,636 --> 00:05:14,719 this is the essence of Faraday's Law. 132 00:05:15,651 --> 00:05:16,484 Faraday's, 133 00:05:18,051 --> 00:05:19,218 Faraday's Law. 134 00:05:21,282 --> 00:05:23,668 And we'll quantify this more in future videos 135 00:05:23,668 --> 00:05:27,640 but it's just the notion that if I have a loop of wire 136 00:05:27,640 --> 00:05:29,780 and I have a changing magnetic flux 137 00:05:29,780 --> 00:05:31,425 through the loop of wire, 138 00:05:31,425 --> 00:00:00,000 that is going to induce a current in that wire.