Interferencia De Ondas

Ahora veremos cómo se afecta la onda senoidal cuando se sumas dos ondas

C) Dos ondas senoidales diferentes en amplitud, longitud y desfase que dan por resultado interferencias c

Introduce los siguientes datos:

Onda f1(x): amplitud 1, periodo 1 y un desfasamiento de 0 (C = 0)

Onda f2(x): amplitud 0.5, periodo 1.5 y un desfasamiento de 180 (C = π)

7. ¿Qué valor tiene la cresta donde la interferencia es constructiva? 8. ¿Qué valor tiene la cresta donde la interferencia es destructiva? 9. ¿Cómo son la crestas respecto a las de las funciones iniciales? 10. ¿En qué momento podemos decir que la onda se repite?

Observa lo que sucede con f1(x), f2(x) y f1(x) + f2(x)

Recuerda que el periodo se relaciona con B mediante la siguiente ecuación:

T = Periodo

π = 3.1416

Introduce los valores de B con dos décimales.

Superposición de ondas

f(x) = A sen (Bx + C) + D

B1

6.2832

B2

4.1888

f1(x) = A sen (Bx + C) + D

f2(x) = A sen (Bx + C) + D

A1

B1

1

6.2832

A2

B2

0.5

4.1888

x

0

1.5 0.03

1 0.06

0.09

0.5 0.12

0.15

f1(x) = A sen (Bx + C) + D

f1(x) + f2(x) -3.67321E-06 0.124711341 0.243776586 0.35176181 0.44366782

f1(x) = A sen (Bx + C) + D f2(x) = A sen (Bx + C) + D

0 0.187381748 0.368125372 0.535827911 0.684548391 0.80901829

-3.67321E-06 -0.062670407 -0.124348786 -0.184066101 -0.240880571

0

-0.5 0.21 0.968583928 -0.385259618

f1(x) = A sen (Bx + C) + D

-0.293896192  0.515122098

0.18

0.904828179   -0.342276873

0.562551305 0.58332431

012345

-0.2

o

-0.5

0.36

0.39

0.42

0.45

0.48 1.5

0.51

0.54 1

0.57 0.5

0.6

-0.2 -0.4 -0.6

0.24 -1 0.27

-1.5 0.3 0.33

0.99802695 0.992114204 0.951055154 0.876304344

-0.422166561 -0.452415653 -0.475529847 -0.491144616

0.575860389 0.539698551 0.475525307 0.385159728

0.309010706 -0.475526442 -0.166515736 0.125326237 -0.452410961 -0.327084725

-0.062797998 -0.422160656 -0.484958654

-0.248697572 -0.385252594 -0.633950166 -0.425786869 -0.34226884 -0.76805571

-0.587792384 -0.293887277 -0.881679661

-0.929780218 -0.124338113 -1.05411833 -0.982289233 -0.062659474 -1.044948707

-1 7.34641E-06 -0.999992654

2

-0.491142552 -0.009394285

0.770509871 0.637419575 0.481748266

-0.499013706 0.271496166 -0.499013014 0.138406561

f1(x) + f2(x)

0.63

-0.728974964   -0.240870914  -0.969845878

0 -0.5

01234

0.66

-0.844333122

-0.184055856

-1.028388977

0.69

0.72 -1

0.75

-1.5

-2

-0.982285103 -0.929772105 -0.844321312 -0.728959877 -0.587774554 -0.425766928 -0.248676225 -0.062776002 0.125348102 0.309031667

0.062674051 0.124352344 0.184069517 0.24088379 0.293899164 0.342279551 0.38526196 0.422168529 0.452417217 0.475530982

-0.919611052 -0.805419761 -0.660251796 -0.488076087 -0.29387539 -0.083487377 0.136585735 0.359392527 0.577765319 0.784562649

0.78 0.81 0.84 0.87 0.9 0.93 0.96 0.99 1.02 1.05 1.08 1.11 1.14 1.17 1.2 1.23 1.26 1.29 1.32 1.35 1.38 1.41 1.44 1.47 1.5 1.53 1.56 1.59 1.62 1.65

0.684532325 0.368104881

-0.684564457 -0.809031244

0.240867695 0.124334555

-0.240887009 -0.293902135

0.925400021 0.492439435

-0.925451465 -1.102933379

2 1.5 1 0.5 0

-0.5 -1 -1.5 -2

0.904818795

0.342266163

1.247084957

0.481767579 0.491145305 0.972912884 0.637436556 0.499013936 1.136450492

0.770523919 0.499012783 1.269536702 0.876314962 0.491141863 1.367456825

0.951061965 0.475525307 1.426587271 0.992116966 0.452409397 1.444526363

0.998025566 0.422158688 1.420184254 0.968578447 0.385250253 1.3538287

01234

0.809005335

0.293884305

1.102889641

0.535809303 0.18405244 0.719861743

0.187360099 0.06265583 0.250015928 -2.20392E-05 -1.10196E-05 -3.30588E-05

-0.187403396 -0.062677695 -0.250081092 -0.368145864 -0.124355902 -0.492501765

-0.53584652

-0.184072932

-0.719919452



1.68 -0.904837562 1.71 -0.968589409 1.74 -0.998028333 1.77 -0.992111442

1.8 -0.951048343 1.83 -0.876293726 1.86 -0.770495823 1.89 -0.637402593 1.92 -0.481728953 1.95 -0.308989746 1.98 -0.125304371 2.01 0.062819994 2.04 0.248718919 2.07 0.425806811 2.1 0.587810214 2.13 0.72899005 2.16 0.84434493 2.19 0.929788331 2.22 0.982293362 2.25 0.999999999 2.28 0.982280973 2.31 0.929763991 2.34 0.844309503 2.37 0.72894479 2.4 0.587756724 2.43 0.425746986 2.46 0.248654878 2.49 0.062754007 2.52 -0.125369967 2.55 -0.309052627 2.58 -0.481786892 2.61 -0.637453537 2.64 -0.770537967 2.67 -0.876325578

2.7 -0.951068774 2.73 -0.992119728 2.76 -0.998024181 2.79 -0.968572966 2.82 -0.90480941 2.85 -0.80899238 2.88 -0.684516259 2.91 -0.535790694 2.94 -0.368084389 2.97 -0.18733845

3 4.40785E-05 3.03 0.187425045 3.06 0.368166355 3.09 0.535865128 3.12 0.684580522

-0.342282228 -0.385264301 -0.422170497 -0.452418781 -0.475532117 -0.491145993 -0.499014167 -0.499012552 -0.491141175 -0.475524172 -0.452407833 -0.42215672 -0.385247911 -0.342263485 -0.293881334 -0.240864477 -0.184049025 -0.124330997 -0.062652186 1.46928E-05 0.062681339 0.124359459 0.184076347 0.240890227 0.293905107 0.342284906 0.385266642 0.422172465 0.452420345 0.475533252 0.491146681 0.499014397 0.499012321 0.491140486 0.475523036 0.452406269 0.422154751 0.38524557 0.342260807 0.293878362 0.240861258 0.18404561 0.124327439 0.062648541 -1.8366E-05 -0.062684984 -0.124363017 -0.184079762 -0.240893446

-1.247119791 -1.35385371 -1.42019883 -1.444530223 -1.426580461 -1.367439719 -1.269509989 -1.136415145 -0.972870128 -0.784513917 -0.577712204 -0.359336726 -0.136528993 0.083543326 0.293928881 0.488125574 0.660295905 0.805457334 0.919641177 1.000014692 1.044962312 1.05412345 1.02838585 0.969835017 0.881661831 0.768031892 0.633921521 0.484926472 0.327050378 0.166480625 0.009359789 -0.13843914 -0.271525646 -0.385185092 -0.475545738 -0.539713459 -0.57586943 -0.583327396

...