1 00:00:01,200 --> 00:00:02,600 - You might note that if you've got 2 00:00:02,600 --> 00:00:05,033 a positive charge sitting out in space 3 00:00:05,033 --> 00:00:07,100 it's gonna create an Electric field, 4 00:00:07,100 --> 00:00:11,000 and that Electric field is gonna point radially outward 5 00:00:11,000 --> 00:00:13,800 away from the positive charge. 6 00:00:13,800 --> 00:00:18,033 And you might note that if you've got a current in a wire, 7 00:00:18,033 --> 00:00:21,166 that current is gonna create a Magnetic field, 8 00:00:21,166 --> 00:00:24,400 and that Magnetic field is gonna loop around that wire 9 00:00:24,400 --> 00:00:26,966 it's gonna look something like this. 10 00:00:26,966 --> 00:00:29,433 But people started to realize 11 00:00:29,433 --> 00:00:32,067 there is another way to create a Magnetic field 12 00:00:32,067 --> 00:00:33,933 besides having a current, 13 00:00:33,933 --> 00:00:35,966 and there's another way to create an Electric field 14 00:00:35,966 --> 00:00:38,233 besides having charges. 15 00:00:38,233 --> 00:00:41,600 Turns out if you have a changing Electric field 16 00:00:41,600 --> 00:00:43,833 in some region of space, 17 00:00:43,833 --> 00:00:47,333 even if that region has no current in it, 18 00:00:47,333 --> 00:00:50,166 by the fact that it has a change in Electric field 19 00:00:50,166 --> 00:00:55,166 that's going to induce or create a Magnetic field. 20 00:00:55,500 --> 00:00:58,566 So here was a way to create a Magnetic field 21 00:00:58,566 --> 00:01:00,233 that didn't even required a current, 22 00:01:00,233 --> 00:01:03,633 it just required a change in Electric field in that region. 23 00:01:03,633 --> 00:01:06,536 And people also started to realize 24 00:01:06,536 --> 00:01:11,133 if you've got a changing Magnetic field, 25 00:01:11,133 --> 00:01:15,066 that is gonna create a changing Electric field. 26 00:01:15,066 --> 00:01:17,900 And a very clever Scottish physicist 27 00:01:17,900 --> 00:01:20,166 named James Clerk Maxwell realized, 28 00:01:20,166 --> 00:01:22,300 hold on, if this is true, 29 00:01:22,300 --> 00:01:23,800 if a changing Electric field 30 00:01:23,800 --> 00:01:26,133 can create a changing Magnetic field, 31 00:01:26,133 --> 00:01:28,433 and a changing Magnetic field could in turn 32 00:01:28,433 --> 00:01:30,233 create a changing Electric field, 33 00:01:30,233 --> 00:01:32,366 which could in turn create a changing Magnetic field, 34 00:01:32,366 --> 00:01:35,300 then you could set up some sort of chain reaction here 35 00:01:35,300 --> 00:01:37,400 that can propagate like a wave, 36 00:01:37,400 --> 00:01:39,167 and you would get a wave 37 00:01:39,167 --> 00:01:41,400 of Electric and Magnetic fields 38 00:01:41,400 --> 00:01:44,033 that can travel outward and have 39 00:01:44,033 --> 00:01:46,400 sort of an independent existence now 40 00:01:46,400 --> 00:01:48,233 from whatever parent current 41 00:01:48,233 --> 00:01:50,566 or parent charge created them. 42 00:01:50,566 --> 00:01:52,599 So how would you create a changing Electric field? 43 00:01:52,599 --> 00:01:53,433 You could take this charge 44 00:01:53,433 --> 00:01:54,833 and sort of wiggle it upside do-- 45 00:01:54,833 --> 00:01:56,300 Up and down. 46 00:01:56,300 --> 00:01:57,500 Sounds like an antenna, 47 00:01:57,500 --> 00:01:59,066 that's what you could do, an antenna, 48 00:01:59,066 --> 00:02:00,766 that would create a changing Electric field, 49 00:02:00,766 --> 00:02:02,467 and then a changing Magnetic field, 50 00:02:02,467 --> 00:02:05,167 and this could propagate outward. 51 00:02:05,167 --> 00:02:06,933 And similarly you could have a current, 52 00:02:06,933 --> 00:02:08,633 how could you create a changing Magnetic field? 53 00:02:08,633 --> 00:02:12,466 Just have this current oscillate back and forth, changing, 54 00:02:12,466 --> 00:02:14,100 that would create a changing Magnetic field 55 00:02:14,100 --> 00:02:16,033 which would create a changing Electric field, 56 00:02:16,033 --> 00:02:17,300 then it could propagate outward 57 00:02:17,300 --> 00:02:18,333 and now this wave could have 58 00:02:18,333 --> 00:02:20,266 its own independent existence 59 00:02:20,266 --> 00:02:23,166 and keep moving forward at some speed. 60 00:02:23,166 --> 00:02:26,866 And we call these Electromagnetic waves because 61 00:02:26,866 --> 00:02:29,633 "Electro", they have Electric fields, 62 00:02:29,633 --> 00:02:33,267 and "magnetic" because they have Magnetic fields, 63 00:02:33,267 --> 00:02:36,133 and waves because they propagate outward 64 00:02:36,133 --> 00:02:37,600 according to wave equations and 65 00:02:37,600 --> 00:02:41,233 similar to all the other waves that we've seen. 66 00:02:41,233 --> 00:02:43,200 There is one difference, 67 00:02:43,200 --> 00:02:46,400 these waves don't actually need a medium, 68 00:02:46,400 --> 00:02:48,400 they can travel through straight vacuum, 69 00:02:48,400 --> 00:02:52,633 you don't need actual particles of some stuff in here, 70 00:02:52,633 --> 00:02:54,100 these can move through the vacuum, 71 00:02:54,100 --> 00:02:55,533 which is a little weird 72 00:02:55,533 --> 00:02:57,766 because the only thing that's waving here, 73 00:02:57,766 --> 00:02:59,200 the only thing that's oscillating 74 00:02:59,200 --> 00:03:03,233 is the value of the Electric and Magnetic fields. 75 00:03:03,233 --> 00:03:05,033 And so these are Electromagnetic waves, 76 00:03:05,033 --> 00:03:07,266 this is a pretty horrible drawing of it, 77 00:03:07,266 --> 00:03:09,666 it looks a little bit more like this. 78 00:03:09,666 --> 00:03:12,800 These yellow lines represent the Magnetic fields, 79 00:03:12,800 --> 00:03:15,433 these are directed up and down, 80 00:03:15,433 --> 00:03:16,800 they point up and down, 81 00:03:16,800 --> 00:03:18,600 they don't stick out up and down, 82 00:03:18,600 --> 00:03:20,000 I just had to draw it that way 83 00:03:20,000 --> 00:03:21,367 but what I'm trying say is that 84 00:03:21,367 --> 00:03:23,600 this point right here, 85 00:03:23,600 --> 00:03:26,433 it's not that there's a Magnetic field that sticks up, 86 00:03:26,433 --> 00:03:27,833 it points up, 87 00:03:27,833 --> 00:03:29,500 and I'll just draw with a bigger vector 88 00:03:29,500 --> 00:03:31,933 to show that at this point right here 89 00:03:31,933 --> 00:03:33,966 along with this axis, 90 00:03:33,966 --> 00:03:37,633 this axis could be, say the x direction, 91 00:03:37,633 --> 00:03:40,866 so if this is the x direction, 92 00:03:40,866 --> 00:03:43,366 and at this position in space 93 00:03:43,366 --> 00:03:45,233 there would be a relatively large Magnetic field 94 00:03:45,233 --> 00:03:46,766 it would point up. 95 00:03:46,766 --> 00:03:50,533 And these red lines represent the Electric field, 96 00:03:50,533 --> 00:03:51,500 so at this point in space 97 00:03:51,500 --> 00:03:54,033 there'd be a relatively large Electric field, 98 00:03:54,033 --> 00:03:55,133 and the Electric field is at 99 00:03:55,133 --> 00:03:57,633 a right angle to the Magnetic field, 100 00:03:57,633 --> 00:03:59,133 so these are perpendicular, 101 00:03:59,133 --> 00:04:01,300 that's how this process has to happen. 102 00:04:01,300 --> 00:04:03,200 It's gonna create an Electric and Magnetic field 103 00:04:03,200 --> 00:04:04,933 that are perpendicular to each other, 104 00:04:04,933 --> 00:04:07,433 so the Electric field sticks out, 105 00:04:07,433 --> 00:04:08,966 this is pointing, think of it 106 00:04:08,966 --> 00:04:11,300 as out of your computer screen or your screen, 107 00:04:11,300 --> 00:04:13,400 or whatever you're watching this on. 108 00:04:13,400 --> 00:04:17,399 And these Electric fields back here point into the screen. 109 00:04:17,399 --> 00:04:20,132 And so this is in 3D, this is happening in 3D, 110 00:04:20,132 --> 00:04:24,166 Electric field oscillating into and out of your screen, 111 00:04:24,166 --> 00:04:26,666 Magnetic field oscillating up and down, 112 00:04:26,666 --> 00:04:30,200 and the whole wave traveling to the right. 113 00:04:30,200 --> 00:04:32,133 So this whole thing happens, 114 00:04:32,133 --> 00:04:34,633 all three of these directions are right angles, 115 00:04:34,633 --> 00:04:39,633 so if I imagine a three-dimensional axes here, 116 00:04:39,933 --> 00:04:41,833 so x, y, z, 117 00:04:41,833 --> 00:04:43,866 this would be the direction of the speed of this 118 00:04:43,866 --> 00:04:45,266 or the velocity of this wave, 119 00:04:45,266 --> 00:04:46,700 it doesn't have to point in this direction 120 00:04:46,700 --> 00:04:48,100 but whatever direction it's pointing 121 00:04:48,100 --> 00:04:50,200 you'd have velocity in one direction, 122 00:04:50,200 --> 00:04:52,833 you'd have Magnetic field in the other direction, 123 00:04:52,833 --> 00:04:53,933 and you'd have Electric field 124 00:04:53,933 --> 00:04:56,100 in one more perpendicular direction, 125 00:04:56,100 --> 00:04:59,333 all three of these are perpendicular to each other. 126 00:04:59,333 --> 00:05:00,900 So the Magnetic field is perpendicular 127 00:05:00,900 --> 00:05:02,600 to the Electric field, 128 00:05:02,600 --> 00:05:04,866 the Electric field is perpendicular to the Magnetic field, 129 00:05:04,866 --> 00:05:07,800 then both the Magnetic and the Electric fields 130 00:05:07,800 --> 00:05:10,100 are perpendicular to the direction 131 00:05:10,100 --> 00:05:13,467 that the Electromagnetic wave is traveling. 132 00:05:13,467 --> 00:05:16,533 And the speed at which these waves travel 133 00:05:16,533 --> 00:05:18,866 is the speed of light, c, 134 00:05:18,866 --> 00:05:23,866 and by c I mean three times 10 to the eight 135 00:05:24,233 --> 00:05:25,833 meters per second, 136 00:05:25,833 --> 00:05:29,900 because light is just and Electromagnetic wave, 137 00:05:29,900 --> 00:05:33,333 light is a special example, one particular example 138 00:05:33,333 --> 00:05:35,600 of Electromagnetic waves, 139 00:05:35,600 --> 00:05:37,500 but it is only one example, 140 00:05:37,500 --> 00:05:39,700 these waves can have any wavelength. 141 00:05:39,700 --> 00:05:44,366 Look, from here to here, this, since this is in space, 142 00:05:44,366 --> 00:05:47,666 the graph of the wave and along a special direction, 143 00:05:47,666 --> 00:05:49,366 this would represent the wavelength. 144 00:05:49,366 --> 00:05:51,533 These waves could have any wavelength, 145 00:05:51,533 --> 00:05:52,733 any particular wavelength, 146 00:05:52,733 --> 00:05:54,433 and any particular frequency. 147 00:05:54,433 --> 00:05:55,767 They frequency would be the rate 148 00:05:55,767 --> 00:05:58,233 at which these change. 149 00:05:58,233 --> 00:06:00,233 So if you'd watch this in time, 150 00:06:00,233 --> 00:06:02,166 this point in space would have a Magnetic field 151 00:06:02,166 --> 00:06:03,733 that would point up, then it would point down, 152 00:06:03,733 --> 00:06:05,166 then it would point up, then it would point down, 153 00:06:05,166 --> 00:06:07,467 and the rate at which that's happening, 154 00:06:07,467 --> 00:06:10,666 the number of times per second would be the frequency. 155 00:06:10,666 --> 00:06:12,400 These waves could have any frequency, 156 00:06:12,400 --> 00:06:14,567 but for one special region, 157 00:06:14,567 --> 00:06:16,300 the region is the visible spectrum. 158 00:06:16,300 --> 00:06:18,966 So we call the regional frequencies 159 00:06:18,966 --> 00:06:22,100 and wavelengths that Electromagnetic waves can have 160 00:06:22,100 --> 00:06:23,800 the Electromagnetic Spectrum, 161 00:06:23,800 --> 00:06:25,200 and there is a lot to learn 162 00:06:25,200 --> 00:06:26,933 about the Electromagnetic Spectrum. 163 00:06:26,933 --> 00:06:29,166 Let me just show you really quick. 164 00:06:29,166 --> 00:06:33,433 If we pretend we're graphing here, along this line, 165 00:06:33,433 --> 00:06:35,166 higher frequency. 166 00:06:35,166 --> 00:06:37,566 So let's say in that direction 167 00:06:37,566 --> 00:06:40,566 this is pointing higher frequencies to the right, 168 00:06:40,566 --> 00:06:42,799 in other words higher Hertz 169 00:06:42,799 --> 00:06:44,833 since that's what we measure frequency in. 170 00:06:44,833 --> 00:06:46,600 But if that's higher frequency, 171 00:06:46,600 --> 00:06:48,267 because of this formula, 172 00:06:48,267 --> 00:06:52,566 speed of a wave is lambda times frequency wavelength, 173 00:06:52,566 --> 00:06:53,666 times frequency. 174 00:06:53,666 --> 00:06:57,166 If the frequency increases the wavelength has to decrease, 175 00:06:57,166 --> 00:06:58,666 so in this right way direction 176 00:06:58,666 --> 00:07:02,166 this would be smaller wavelength, 177 00:07:02,166 --> 00:07:04,000 and wavelength is measured in meters 178 00:07:04,000 --> 00:07:06,000 but when you're talking about light, 179 00:07:06,000 --> 00:07:07,600 since you have such small wavelengths 180 00:07:07,600 --> 00:07:09,666 you often talk about nanometers. 181 00:07:09,666 --> 00:07:11,433 So, where would the visible spectrum be? 182 00:07:11,433 --> 00:07:12,866 The visible spectrum would just be 183 00:07:12,866 --> 00:07:16,600 this little smudge here in our range, 184 00:07:16,600 --> 00:07:18,200 this would be the... 185 00:07:18,200 --> 00:07:22,700 This whole thing is called the Electromagnetic Spectrum, 186 00:07:22,700 --> 00:07:27,000 so the Electromagnetic Spectrum, 187 00:07:27,000 --> 00:07:32,000 and the visible spectrum is just right here. 188 00:07:33,266 --> 00:07:35,200 This would be the visible spectrum, 189 00:07:35,200 --> 00:07:36,467 so this is visible, 190 00:07:36,467 --> 00:07:39,000 between red and violet. 191 00:07:39,000 --> 00:07:42,133 And red is, if I asked you what frequency that is, 192 00:07:42,133 --> 00:07:47,133 that would be around four times 10 to the fourteenth Hertz, 193 00:07:48,333 --> 00:07:50,166 and violet would be around 194 00:07:50,166 --> 00:07:55,166 7.5 times 10 to the fourteenth Hertz. 195 00:07:57,000 --> 00:07:59,700 Or if you wanted to talk about wavelength, 196 00:07:59,700 --> 00:08:04,700 red would be around 750 nanometers, 197 00:08:05,133 --> 00:08:09,433 and violet would be around 400 nanometers, 198 00:08:09,433 --> 00:08:14,433 and by nano we mean 10 to the negative ninth. 199 00:08:15,033 --> 00:08:16,433 Okay, but this is just a small region, 200 00:08:16,433 --> 00:08:19,933 you could have higher frequencies than violet, 201 00:08:19,933 --> 00:08:21,166 and what do we call those? 202 00:08:21,166 --> 00:08:23,494 We call those ultraviolet, 203 00:08:23,494 --> 00:08:25,866 and we know these are bad for us, 204 00:08:25,866 --> 00:08:28,433 and they're bad for us because as we go to the right here, 205 00:08:28,433 --> 00:08:31,446 higher frequencies, turns out this also means 206 00:08:31,446 --> 00:08:33,966 more energetic light. 207 00:08:33,966 --> 00:08:37,000 So if you were to talk about the photons 208 00:08:37,000 --> 00:08:38,433 that make up this light, 209 00:08:38,433 --> 00:08:40,155 if you're talking about quantum mechanic 210 00:08:40,155 --> 00:08:41,999 those photons as you go forward, 211 00:08:42,000 --> 00:08:43,633 higher up into the frequencies, 212 00:08:43,633 --> 00:08:44,900 have more energy, 213 00:08:44,900 --> 00:08:47,600 that means that they're more dangerous, 214 00:08:47,600 --> 00:08:49,333 and they're more dangerous because 215 00:08:49,333 --> 00:08:52,033 if they have more energy they can add that energy 216 00:08:52,033 --> 00:08:54,866 to your cells and break them apart and cause damage, 217 00:08:54,866 --> 00:08:56,600 and so this causes problems 218 00:08:56,600 --> 00:08:57,866 as you go further up this way, 219 00:08:57,866 --> 00:08:59,333 so we put on sunscreen 220 00:08:59,333 --> 00:09:02,100 to protect ourselves from ultraviolet light. 221 00:09:02,100 --> 00:09:04,633 But this isn't the highest frequency, 222 00:09:04,633 --> 00:09:05,933 you can have much higher frequencies, 223 00:09:05,933 --> 00:09:07,933 you can have X-Rays, 224 00:09:07,933 --> 00:09:09,833 X-Rays are even higher frequency, 225 00:09:09,833 --> 00:09:11,833 even more dangerous, 226 00:09:11,833 --> 00:09:14,367 which is why X-Ray technicians, 227 00:09:14,367 --> 00:09:15,333 you go in there and they're like, 228 00:09:15,333 --> 00:09:16,466 "hey, stand right here, 229 00:09:16,466 --> 00:09:17,633 "I'm going to get your X-Ray 230 00:09:17,633 --> 00:09:19,966 "while I hide behind this wall", 231 00:09:19,966 --> 00:09:21,200 because if they had to sit there 232 00:09:21,200 --> 00:09:23,600 and take that X-Ray every single day 233 00:09:23,600 --> 00:09:26,200 it would really be bad for them. 234 00:09:26,200 --> 00:09:28,033 But this isn't even the highest, 235 00:09:28,033 --> 00:09:30,967 you've got things called Gamma Rays, 236 00:09:30,967 --> 00:09:35,700 and Gamma Rays are unbelievably energetic light, 237 00:09:35,700 --> 00:09:36,933 and these are very dangerous. 238 00:09:36,933 --> 00:09:39,400 These happens, these come from space 239 00:09:39,400 --> 00:09:42,400 or from some sort of nuclear reaction. 240 00:09:42,400 --> 00:09:45,300 These are extremely dangerous, Gamma Rays, 241 00:09:45,300 --> 00:09:47,866 that's why you always hear them in comic books, 242 00:09:47,866 --> 00:09:51,266 people wanna blame like why some hero was created, 243 00:09:51,266 --> 00:09:53,033 they say, "oh, that was a Gamma Ray", 244 00:09:53,033 --> 00:09:54,933 'cause it just sounds really powerful. 245 00:09:54,933 --> 00:09:56,633 It won't turn people into superheroes 246 00:09:56,633 --> 00:09:58,700 but it's very energetic. 247 00:09:58,700 --> 00:10:02,667 Then down here you've got infrared, 248 00:10:02,667 --> 00:10:06,000 so this would be below red. 249 00:10:06,533 --> 00:10:07,966 You couldn't see these either, 250 00:10:07,966 --> 00:10:09,000 could be either infrared, 251 00:10:09,000 --> 00:10:12,266 and then below that you've got microwaves, 252 00:10:12,266 --> 00:10:15,266 and microwaves, in this region 253 00:10:15,266 --> 00:10:16,733 there's a lot of useful stuff, 254 00:10:16,733 --> 00:10:20,800 your cellphones signals, they're in the microwave region, 255 00:10:20,800 --> 00:10:23,066 TV signals that are sent through the air 256 00:10:23,066 --> 00:10:24,400 in the microwave region, 257 00:10:24,400 --> 00:10:26,133 this is used for a lot of cases. 258 00:10:26,133 --> 00:10:29,433 And then below this you've got radio waves, 259 00:10:29,433 --> 00:10:33,233 even though technically speaking FM radio waves 260 00:10:33,233 --> 00:10:35,400 are more in the microwave region, 261 00:10:35,400 --> 00:10:36,866 these are more like AM, 262 00:10:36,866 --> 00:10:40,167 so when people started first making radio 263 00:10:40,167 --> 00:10:42,766 they used frequencies down here, 264 00:10:42,766 --> 00:10:45,933 and that was the AM frequency range. 265 00:10:45,933 --> 00:10:48,100 So this is the Electromagnetic Spectrum, 266 00:10:48,100 --> 00:10:51,133 the visible range is a small region of it, 267 00:10:51,133 --> 00:10:53,333 we can't see anything outside of that, 268 00:10:53,333 --> 00:10:55,366 but these are extremely useful 269 00:10:55,366 --> 00:10:57,400 in a lot of different cases, 270 00:10:57,400 --> 00:10:59,133 and dangerous, you need to know about 271 00:10:59,133 --> 00:00:00,000 the Electromagnetic Spectrum.