N° of component

## Instantaneous Values of Sine Waves (MA194E)

Instantaneous Values of Sine Waves (MA194E)

The instantenous value for a sine wave depends on the time on the cycle according the next formula:

Formula:

## V = Vp x ( Tv / 100 )

Where:

V is the instantaneous value (voltage, for instance)

Vp is the peak value (voltage, for instance)

Tv is the value found in the next table for the desired phase angle

 Phase Angle (degrees) Percent (Tv) 0 180 180 360 0,000000 1 179 181 359 1,745241 2 178 182 358 3,489950 3 177 183 357 5,233596 4 176 184 356 6,975647 5 175 185 355 8,715574 6 174 186 354 10,45285 7 173 187 353 12,18693 8 172 188 352 14,92731 9 171 189 351 15,64345 10 170 190 350 17,36482 11 169 191 349 19,08090 12 168 192 348 20,79117 13 167 193 347 22,49511 14 166 194 346 24,19219 15 165 195 345 25,88190 16 164 196 344 27,56374 17 163 197 343 29,23717 18 162 198 342 30,90170 19 161 199 341 32,55682 20 160 200 340 34,20201 21 159 201 339 35,83680 22 158 202 338 37,46066 23 157 203 337 39,07311 24 156 204 336 40,67366 25 155 205 335 42,26183 26 154 206 334 43,83711 27 153 207 333 45,39905 28 152 208 332 46,94715 29 151 209 331 48,48096 30 150 210 330 50,00000 31 149 211 329 51,50381 32 148 212 328 52,99192 33 147 213 327 54,46391 34 146 214 326 55,91929 35 145 215 325 57,35764 36 144 216 324 58,77853 37 143 217 323 60,18150 38 142 218 322 61,56615 39 141 219 321 62,93204 40 140 220 320 64,27876 41 139 221 319 65,60590 42 138 222 318 66,91306 43 137 223 317 68,19984 44 136 224 316 69,46584 45 135 225 315 70,71068 46 134 226 314 71,93398 47 133 227 313 73,13537 48 132 228 312 74,31448 49 131 229 311 75,47095 50 130 230 310 76,31448 51 129 231 309 77,71460 52 128 232 308 78,80107 53 127 233 307 79,86355 54 126 234 306 80,90170 55 125 235 305 81,91521 56 124 236 304 82,90376 57 123 237 303 83,86706 58 122 238 302 84,80481 59 121 239 301 85,71673 60 120 240 300 86,60254 61 119 241 299 87,46198 62 118 242 298 88,29475 63 117 243 297 89,10065 64 116 244 296 89,87940 65 115 245 295 90,63078 66 114 246 294 91,35455 67 113 247 293 92,05048 68 112 248 292 92,71838 69 111 249 291 93,35804 70 110 250 290 93,96926 71 109 251 289 94,55186 72 108 252 288 95,10565 73 107 253 287 95,63048 74 106 254 286 96,12617 75 105 255 285 96,59258 76 104 256 284 97,02957 77 103 257 283 97,43700 78 102 258 282 97,81476 79 101 259 281 98,16272 80 100 260 280 98,48077 81 99 261 279 98,76884 82 98 262 278 99,02681 83 97 263 277 99,25462 84 96 264 276 99,45219 85 95 265 275 99,61497 86 94 266 274 99,75640 87 93 267 273 99,86295 88 92 268 272 99,93908 89 91 269 271 99,98477 90 90 270 270 100,0000

## Application Example:

Determine the instantaneous value of a 300 V (peak) voltage at the phase angle of 32 degrees.

Given:

Vpeak = 300 V

Cx = 32o

Using the formula:

## V = Vpeak x Tv/100

Where:

Tv = value found in the table

V = 300 x 52;99/158,97 V